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149469257304 = 233219238914783
BaseRepresentation
bin1000101100110100001…
…1111101111001011000
3112021210202202222202200
42023031003331321120
54422103112213204
6152355404530200
713540662503313
oct2131503757130
9467722688680
10149469257304
1158431554324
1224b74b50960
1311130622323
14733d0b597a
153d4c1e2539
hex22cd0fde58

149469257304 has 144 divisors (see below), whose sum is σ = 428367139200. Its totient is φ = 47076294528.

The previous prime is 149469257293. The next prime is 149469257359. The reversal of 149469257304 is 403752964941.

149469257304 is a `hidden beast` number, since 1 + 4 + 9 + 4 + 69 + 2 + 573 + 0 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10103497 + ... + 10118279.

It is an arithmetic number, because the mean of its divisors is an integer number (2974771800).

Almost surely, 2149469257304 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 149469257304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214183569600).

149469257304 is an abundant number, since it is smaller than the sum of its proper divisors (278897881896).

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

149469257304 is a wasteful number, since it uses less digits than its factorization.

149469257304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15222 (or 15196 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 149469257304 in words is "one hundred forty-nine billion, four hundred sixty-nine million, two hundred fifty-seven thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 361 389 456 684 722 778 1083 1167 1368 1444 1556 2166 2334 2888 3112 3249 3501 4332 4668 6498 7002 7391 8664 9336 12996 14004 14782 14783 22173 25992 28008 29564 29566 44346 44349 59128 59132 66519 88692 88698 118264 133038 133047 140429 177384 177396 266076 266094 280858 280877 354792 421287 532152 532188 561716 561754 842574 842631 1064376 1123432 1123508 1263861 1685148 1685262 2247016 2527722 2527893 3370296 3370524 5055444 5055786 5336663 5750587 6741048 10110888 10111572 10673326 11501174 16009989 17251761 20223144 21346652 23002348 32019978 34503522 42693304 46004696 48029967 51755283 64039956 69007044 96059934 103510566 109261153 128079912 138014088 192119868 207021132 218522306 327783459 384239736 414042264 437044612 655566918 874089224 983350377 1311133836 1966700754 2075961907 2622267672 3933401508 4151923814 6227885721 7866803016 8303847628 12455771442 16607695256 18683657163 24911542884 37367314326 49823085768 74734628652 149469257304