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18961334272 = 216532103
BaseRepresentation
bin10001101010001011…
…110000000000000000
31210221110002120201201
4101222023300000000
5302313100144042
612413303110544
71240610452636
oct215213600000
953843076651
1018961334272
1180501a70a1
123812142454
131a3245032a
14cbc391356
1575e99d1b7
hex46a2f0000

18961334272 has 102 divisors (see below), whose sum is σ = 39026652392. Its totient is φ = 9211478016.

The previous prime is 18961334269. The next prime is 18961334299. The reversal of 18961334272 is 27243316981.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 184090573 + ... + 184090675.

Almost surely, 218961334272 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 18961334272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19513326196).

18961334272 is an abundant number, since it is smaller than the sum of its proper divisors (20065318120).

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

18961334272 is an frugal number, since it uses more digits than its factorization.

18961334272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 158 counting only the distinct ones).

The product of its digits is 435456, while the sum is 46.

The spelling of 18961334272 in words is "eighteen billion, nine hundred sixty-one million, three hundred thirty-four thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 32 53 64 103 106 128 206 212 256 412 424 512 824 848 1024 1648 1696 2048 2809 3296 3392 4096 5459 5618 6592 6784 8192 10918 11236 13184 13568 16384 21836 22472 26368 27136 32768 43672 44944 52736 54272 65536 87344 89888 105472 108544 174688 179776 210944 217088 289327 349376 359552 421888 434176 578654 698752 719104 843776 868352 1157308 1397504 1438208 1687552 1736704 2314616 2795008 2876416 3375104 3473408 4629232 5590016 5752832 6750208 9258464 11180032 11505664 18516928 22360064 23011328 37033856 44720128 46022656 74067712 89440256 92045312 148135424 178880512 184090624 296270848 357761024 592541696 1185083392 2370166784 4740333568 9480667136 18961334272