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235068996288 = 2637315642017
BaseRepresentation
bin1101101011101100110…
…1000011101011000000
3211110202100210021112210
43122323031003223000
512322410130340123
6255553400222120
722661141333460
oct3327315035300
9743670707483
10235068996288
1190768358165
123968416a940
131922291c859
14b53d82bba0
1561ac0d2e93
hex36bb343ac0

235068996288 has 112 divisors (see below), whose sum is σ = 733733156864. Its totient is φ = 64996024320.

The previous prime is 235068996269. The next prime is 235068996313. The reversal of 235068996288 is 882699860532.

235068996288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2779345 + ... + 2862672.

Almost surely, 2235068996288 is an apocalyptic number.

235068996288 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

235068996288 is an abundant number, since it is smaller than the sum of its proper divisors (498664160576).

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

235068996288 is a wasteful number, since it uses less digits than its factorization.

235068996288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5642070 (or 5642060 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 66.

The spelling of 235068996288 in words is "two hundred thirty-five billion, sixty-eight million, nine hundred ninety-six thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 168 186 192 217 224 248 336 372 434 448 496 651 672 744 868 992 1302 1344 1488 1736 1984 2604 2976 3472 5208 5952 6944 10416 13888 20832 41664 5642017 11284034 16926051 22568068 33852102 39494119 45136136 67704204 78988238 90272272 118482357 135408408 157976476 174902527 180544544 236964714 270816816 315952952 349805054 361089088 473929428 524707581 541633632 631905904 699610108 947858856 1049415162 1083267264 1224317689 1263811808 1399220216 1895717712 2098830324 2448635378 2527623616 2798440432 3672953067 3791435424 4197660648 4897270756 5596880864 7345906134 7582870848 8395321296 9794541512 11193761728 14691812268 16790642592 19589083024 29383624536 33581285184 39178166048 58767249072 78356332096 117534498144 235068996288