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152202427164 = 22333499402767
BaseRepresentation
bin1000110110111111111…
…0001011101100011100
3112112212020201101222000
42031233332023230130
54443202310132124
6153530522122300
713665501166464
oct2155776135434
9475766641860
10152202427164
1159604336297
12255b8350390
13114779507b8
14751c0a0ba4
153e5c12a6c9
hex236ff8bb1c

152202427164 has 48 divisors (see below), whose sum is σ = 394712640000. Its totient is φ = 50719516848.

The previous prime is 152202427123. The next prime is 152202427199. The reversal of 152202427164 is 461724202251.

152202427164 is a `hidden beast` number, since 1 + 5 + 220 + 2 + 427 + 1 + 6 + 4 = 666.

It is a super-2 number, since 2×1522024271642 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176509 + ... + 579275.

It is an arithmetic number, because the mean of its divisors is an integer number (8223180000).

Almost surely, 2152202427164 is an apocalyptic number.

It is an amenable number.

152202427164 is an abundant number, since it is smaller than the sum of its proper divisors (242510212836).

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

152202427164 is a wasteful number, since it uses less digits than its factorization.

152202427164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406279 (or 406271 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 152202427164 in words is "one hundred fifty-two billion, two hundred two million, four hundred twenty-seven thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 3499 6998 10497 13996 20994 31491 41988 62982 94473 125964 188946 377892 402767 805534 1208301 1611068 2416602 3624903 4833204 7249806 10874709 14499612 21749418 43498836 1409281733 2818563466 4227845199 5637126932 8455690398 12683535597 16911380796 25367071194 38050606791 50734142388 76101213582 152202427164