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296949232968 = 233236726330529
BaseRepresentation
bin1000101001000111000…
…11011011010101001000
31001101110220101000010120
410110203203123111020
514331123000423333
6344225552343240
730311451555663
oct4244343332510
91041426330116
10296949232968
11104a32111933
1249673844b20
1322004a80b0b
141052dcc26da
157ace93cdb3
hex45238db548

296949232968 has 128 divisors (see below), whose sum is σ = 789227366400. Its totient is φ = 92908670976.

The previous prime is 296949232961. The next prime is 296949233017. The reversal of 296949232968 is 869232949692.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is not an unprimeable number, because it can be changed into a prime (296949232961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9711528 + ... + 9742056.

It is an arithmetic number, because the mean of its divisors is an integer number (6165838800).

Almost surely, 2296949232968 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 296949232968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394613683200).

296949232968 is an abundant number, since it is smaller than the sum of its proper divisors (492278133432).

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

296949232968 is a wasteful number, since it uses less digits than its factorization.

296949232968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30891 (or 30887 counting only the distinct ones).

The product of its digits is 181398528, while the sum is 69.

The spelling of 296949232968 in words is "two hundred ninety-six billion, nine hundred forty-nine million, two hundred thirty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 46 67 69 92 134 138 184 201 263 268 276 402 526 536 552 789 804 1052 1541 1578 1608 2104 3082 3156 4623 6049 6164 6312 9246 12098 12328 17621 18147 18492 24196 30529 35242 36294 36984 48392 52863 61058 70484 72588 91587 105726 122116 140968 145176 183174 211452 244232 366348 405283 422904 702167 732696 810566 1215849 1404334 1621132 2045443 2106501 2431698 2808668 3242264 4090886 4213002 4863396 5617336 6136329 8029127 8181772 8426004 9726792 12272658 16058254 16363544 16852008 24087381 24545316 32116508 47045189 48174762 49090632 64233016 94090378 96349524 141135567 184669921 188180756 192699048 282271134 369339842 376361512 537951509 554009763 564542268 738679684 1075903018 1108019526 1129084536 1477359368 1613854527 2151806036 2216039052 3227709054 4303612072 4432078104 6455418108 12372884707 12910836216 24745769414 37118654121 49491538828 74237308242 98983077656 148474616484 296949232968