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5454466320 = 2435173373967
BaseRepresentation
bin1010001010001110…
…01000110100010000
3112002010112121011010
411011013020310100
542132320410240
62301124050520
7252111125112
oct50507106420
915063477133
105454466320
1123499a4306
121082833a40
1368c060484
1439a5a33b2
1521dcc8280
hex1451c8d10

5454466320 has 160 divisors (see below), whose sum is σ = 17961136128. Its totient is φ = 1364557824.

The previous prime is 5454466319. The next prime is 5454466321. The reversal of 5454466320 is 236644545.

It is an interprime number because it is at equal distance from previous prime (5454466319) and next prime (5454466321).

It is not an unprimeable number, because it can be changed into a prime (5454466321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1372977 + ... + 1376943.

Almost surely, 25454466320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5454466320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8980568064).

5454466320 is an abundant number, since it is smaller than the sum of its proper divisors (12506669808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5454466320 is a wasteful number, since it uses less digits than its factorization.

5454466320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4337 (or 4331 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 39.

The square root of 5454466320 is about 73854.3588422511. The cubic root of 5454466320 is about 1760.2894582457.

The spelling of 5454466320 in words is "five billion, four hundred fifty-four million, four hundred sixty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 337 340 408 510 674 680 816 1011 1020 1348 1360 1685 2022 2040 2696 3370 3967 4044 4080 5055 5392 5729 6740 7934 8088 10110 11458 11901 13480 15868 16176 17187 19835 20220 22916 23802 26960 28645 31736 34374 39670 40440 45832 47604 57290 59505 63472 67439 68748 79340 80880 85935 91664 95208 114580 119010 134878 137496 158680 171870 190416 202317 229160 238020 269756 274992 317360 337195 343740 404634 458320 476040 539512 674390 687480 809268 952080 1011585 1079024 1336879 1348780 1374960 1618536 2023170 2673758 2697560 3237072 4010637 4046340 5347516 5395120 6684395 8021274 8092680 10695032 13368790 16042548 16185360 20053185 21390064 22726943 26737580 32085096 40106370 45453886 53475160 64170192 68180829 80212740 90907772 106950320 113634715 136361658 160425480 181815544 227269430 272723316 320850960 340904145 363631088 454538860 545446632 681808290 909077720 1090893264 1363616580 1818155440 2727233160 5454466320