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5153632624 = 24737911887
BaseRepresentation
bin1001100110010111…
…00011000101110000
3111022011110122220101
410303023203011300
541023312220444
62211220122144
7241466104000
oct46313430560
914264418811
105153632624
112205100518
12bb9b36354
1364193007a
1436c654000
152026a23d4
hex1332e3170

5153632624 has 80 divisors (see below), whose sum is σ = 11792896000. Its totient is φ = 2180558016.

The previous prime is 5153632621. The next prime is 5153632633. The reversal of 5153632624 is 4262363515.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5153632621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 427609 + ... + 439495.

It is an arithmetic number, because the mean of its divisors is an integer number (147411200).

Almost surely, 25153632624 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 5153632624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5896448000).

5153632624 is an abundant number, since it is smaller than the sum of its proper divisors (6639263376).

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

5153632624 is a wasteful number, since it uses less digits than its factorization.

5153632624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11995 (or 11975 counting only the distinct ones).

The product of its digits is 129600, while the sum is 37.

The square root of 5153632624 is about 71788.8057011676. The cubic root of 5153632624 is about 1727.3134400329.

The spelling of 5153632624 in words is "five billion, one hundred fifty-three million, six hundred thirty-two thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 79 98 112 158 196 316 343 392 553 632 686 784 1106 1264 1372 2212 2744 3871 4424 5488 7742 8848 11887 15484 23774 27097 30968 47548 54194 61936 83209 95096 108388 166418 190192 216776 332836 433552 582463 665672 939073 1164926 1331344 1878146 2329852 3756292 4077241 4659704 6573511 7512584 8154482 9319408 13147022 15025168 16308964 26294044 32617928 46014577 52588088 65235856 92029154 105176176 184058308 322102039 368116616 644204078 736233232 1288408156 2576816312 5153632624