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234635463104 = 2675911537699
BaseRepresentation
bin1101101010000101011…
…1010000100111000000
3211102122011000111211012
43122201113100213000
512321013134304404
6255442352140052
722644325346360
oct3324127204700
9742564014735
10234635463104
1190565669279
1239582b37628
1319183b6a043
14b4dc0189a0
156183ee8a6e
hex36a15d09c0

234635463104 has 112 divisors (see below), whose sum is σ = 541678368000. Its totient is φ = 98755117056.

The previous prime is 234635463059. The next prime is 234635463109. The reversal of 234635463104 is 401364536432.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234635463109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30472247 + ... + 30479945.

It is an arithmetic number, because the mean of its divisors is an integer number (4836414000).

Almost surely, 2234635463104 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 234635463104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270839184000).

234635463104 is an abundant number, since it is smaller than the sum of its proper divisors (307042904896).

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

234635463104 is a wasteful number, since it uses less digits than its factorization.

234635463104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8930 (or 8920 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 41.

Adding to 234635463104 its reverse (401364536432), we get a palindrome (635999999536).

The spelling of 234635463104 in words is "two hundred thirty-four billion, six hundred thirty-five million, four hundred sixty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 64 112 118 224 236 413 448 472 826 944 1153 1652 1888 2306 3304 3776 4612 6608 7699 8071 9224 13216 15398 16142 18448 26432 30796 32284 36896 53893 61592 64568 68027 73792 107786 123184 129136 136054 215572 246368 258272 272108 431144 454241 476189 492736 516544 544216 862288 908482 952378 1088432 1724576 1816964 1904756 2176864 3179687 3449152 3633928 3809512 4353728 6359374 7267856 7619024 8876947 12718748 14535712 15238048 17753894 25437496 29071424 30476096 35507788 50874992 62138629 71015576 101749984 124277258 142031152 203499968 248554516 284062304 497109032 523739873 568124608 994218064 1047479746 1988436128 2094959492 3666179111 3976872256 4189918984 7332358222 8379837968 14664716444 16759675936 29329432888 33519351872 58658865776 117317731552 234635463104