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3742129160 = 2357111214977
BaseRepresentation
bin1101111100001100…
…0101110000001000
3100122210110212011022
43133003011300020
530130441113120
61415154452012
7161506400360
oct33703056010
910583425138
103742129160
111650375030
12885294008
13478384613
14276dc99a0
1516d7d9025
hexdf0c5c08

3742129160 has 64 divisors (see below), whose sum is σ = 10497409920. Its totient is φ = 1166376960.

The previous prime is 3742129129. The next prime is 3742129169. The reversal of 3742129160 is 619212473.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 3742129160.

It is not an unprimeable number, because it can be changed into a prime (3742129169) 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, 604409 + ... + 610568.

It is an arithmetic number, because the mean of its divisors is an integer number (164022030).

Almost surely, 23742129160 is an apocalyptic number.

It is an amenable number.

3742129160 is an abundant number, since it is smaller than the sum of its proper divisors (6755280760).

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

3742129160 is a wasteful number, since it uses less digits than its factorization.

3742129160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215006 (or 1215002 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 3742129160 is about 61172.9446732786. The cubic root of 3742129160 is about 1552.5285347367.

The spelling of 3742129160 in words is "three billion, seven hundred forty-two million, one hundred twenty-nine thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 1214977 2429954 4859908 6074885 8504839 9719816 12149770 13364747 17009678 24299540 26729494 34019356 42524195 48599080 53458988 66823735 68038712 85048390 93553229 106917976 133647470 170096780 187106458 267294940 340193560 374212916 467766145 534589880 748425832 935532290 1871064580 3742129160