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156401664 = 21533743
BaseRepresentation
bin10010101001010…
…00000000000000
3101220022000202020
421110220000000
5310014323124
623304121440
73606251346
oct1124500000
9356260666
10156401664
1180314981
1244466280
1326530983
1416ab3996
15dae6379
hex9528000

156401664 has 128 divisors (see below), whose sum is σ = 438298080. Its totient is φ = 49545216.

The previous prime is 156401659. The next prime is 156401741. The reversal of 156401664 is 466104651.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1564016642 = 48922961003937792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3637227 + ... + 3637269.

Almost surely, 2156401664 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 156401664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219149040).

156401664 is an abundant number, since it is smaller than the sum of its proper divisors (281896416).

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

156401664 is an frugal number, since it uses more digits than its factorization.

156401664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 156401664 is about 12506.0650885880. The cubic root of 156401664 is about 538.7828829185.

The spelling of 156401664 in words is "one hundred fifty-six million, four hundred one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 43 48 64 74 86 96 111 128 129 148 172 192 222 256 258 296 344 384 444 512 516 592 688 768 888 1024 1032 1184 1376 1536 1591 1776 2048 2064 2368 2752 3072 3182 3552 4096 4128 4736 4773 5504 6144 6364 7104 8192 8256 9472 9546 11008 12288 12728 14208 16384 16512 18944 19092 22016 24576 25456 28416 32768 33024 37888 38184 44032 49152 50912 56832 66048 75776 76368 88064 98304 101824 113664 132096 151552 152736 176128 203648 227328 264192 303104 305472 352256 407296 454656 528384 606208 610944 704512 814592 909312 1056768 1212416 1221888 1409024 1629184 1818624 2113536 2443776 3258368 3637248 4227072 4887552 6516736 9775104 13033472 19550208 26066944 39100416 52133888 78200832 156401664