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103506972264 = 23322311622067
BaseRepresentation
bin110000001100101111…
…1110000111001101000
3100220011120121222210100
41200121133300321220
53143440241103024
6115314521345400
710322666514303
oct1403137607150
9326146558710
10103506972264
113a995a95293
1218088338260
1399b724a767
14501cb15b3a
152a5c0727c9
hex18197f0e68

103506972264 has 48 divisors (see below), whose sum is σ = 280453137120. Its totient is φ = 34487339040.

The previous prime is 103506972253. The next prime is 103506972337. The reversal of 103506972264 is 462279605301.

103506972264 is a `hidden beast` number, since 10 + 3 + 506 + 9 + 72 + 2 + 64 = 666.

103506972264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 144642 + ... + 477425.

It is an arithmetic number, because the mean of its divisors is an integer number (5842773690).

Almost surely, 2103506972264 is an apocalyptic number.

It is an amenable number.

103506972264 is an abundant number, since it is smaller than the sum of its proper divisors (176946164856).

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

103506972264 is a wasteful number, since it uses less digits than its factorization.

103506972264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624390 (or 624383 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 103506972264 in words is "one hundred three billion, five hundred six million, nine hundred seventy-two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2311 4622 6933 9244 13866 18488 20799 27732 41598 55464 83196 166392 622067 1244134 1866201 2488268 3732402 4976536 5598603 7464804 11197206 14929608 22394412 44788824 1437596837 2875193674 4312790511 5750387348 8625581022 11500774696 12938371533 17251162044 25876743066 34502324088 51753486132 103506972264