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34148451059664 = 2435912058068877
BaseRepresentation
bin1111100001110110011100…
…10010111000011111010000
311110220120010021020122121020
413300323032102320133100
513433442011432402124
6200343325402355440
710123100310523464
oct760731622703720
9143816107218536
1034148451059664
11a976305413a97
1239b62471bbb80
13160925391ab96
14860b184784a4
153e342d89d379
hex1f0ece4b87d0

34148451059664 has 40 divisors (see below), whose sum is σ = 89712032452320. Its totient is φ = 11189887916928.

The previous prime is 34148451059659. The next prime is 34148451059707. The reversal of 34148451059664 is 46695015484143.

It is a super-2 number, since 2×341484510596642 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34148451059598 and 34148451059607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6029031607 + ... + 6029037270.

It is an arithmetic number, because the mean of its divisors is an integer number (2242800811308).

Almost surely, 234148451059664 is an apocalyptic number.

It is an amenable number.

34148451059664 is an abundant number, since it is smaller than the sum of its proper divisors (55563581392656).

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

34148451059664 is a wasteful number, since it uses less digits than its factorization.

34148451059664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12058068947 (or 12058068941 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 60.

The spelling of 34148451059664 in words is "thirty-four trillion, one hundred forty-eight billion, four hundred fifty-one million, fifty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 118 177 236 354 472 708 944 1416 2832 12058068877 24116137754 36174206631 48232275508 72348413262 96464551016 144696826524 192929102032 289393653048 578787306096 711426063743 1422852127486 2134278191229 2845704254972 4268556382458 5691408509944 8537112764916 11382817019888 17074225529832 34148451059664