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149518656064 = 264373799421
BaseRepresentation
bin1000101101000000000…
…0011010001001000000
3112021221012201201010101
42023100000122021000
54422203233443224
6152404331412144
713542132415111
oct2132000321100
9467835651111
10149518656064
1158457424348
1224b895b4054
131113a929b6b
147345894208
153d516ee044
hex22d001a240

149518656064 has 112 divisors (see below), whose sum is σ = 311688805120. Its totient is φ = 71101255680.

The previous prime is 149518656029. The next prime is 149518656073. The reversal of 149518656064 is 460656815941.

It is a super-2 number, since 2×1495186560642 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 149518655996 and 149518656014.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15866074 + ... + 15875494.

It is an arithmetic number, because the mean of its divisors is an integer number (2782935760).

Almost surely, 2149518656064 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 149518656064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155844402560).

149518656064 is an abundant number, since it is smaller than the sum of its proper divisors (162170149056).

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

149518656064 is an equidigital number, since it uses as much as digits as its factorization.

149518656064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9628 (or 9618 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 55.

The spelling of 149518656064 in words is "one hundred forty-nine billion, five hundred eighteen million, six hundred fifty-six thousand, sixty-four".

Divisors: 1 2 4 8 16 32 43 64 73 79 86 146 158 172 292 316 344 584 632 688 1168 1264 1376 2336 2528 2752 3139 3397 4672 5056 5767 6278 6794 9421 11534 12556 13588 18842 23068 25112 27176 37684 46136 50224 54352 75368 92272 100448 108704 150736 184544 200896 217408 247981 301472 369088 405103 495962 602944 687733 744259 810206 991924 1375466 1488518 1620412 1983848 2750932 2977036 3240824 3967696 5501864 5954072 6481648 7935392 11003728 11908144 12963296 15870784 22007456 23816288 25926592 29572519 32003137 44014912 47632576 54330907 59145038 64006274 108661814 118290076 128012548 217323628 236580152 256025096 434647256 473160304 512050192 869294512 946320608 1024100384 1738589024 1892641216 2048200768 2336229001 3477178048 4672458002 9344916004 18689832008 37379664016 74759328032 149518656064