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34078927127808 = 283172153541879
BaseRepresentation
bin1111011111110100111100…
…10110001000010100000000
311110122220200000200222110010
413233322132112020110000
513431322120321042213
6200251350515304520
710115056404044553
oct757723626102400
9143586600628403
1034078927127808
11a949878a22a72
1239a48838ab140
131602823cc9674
1485b600b8869a
153e170ee79ac3
hex1efe9e588500

34078927127808 has 108 divisors (see below), whose sum is σ = 96348758035040. Its totient is φ = 10691428048896.

The previous prime is 34078927127803. The next prime is 34078927127857. The reversal of 34078927127808 is 80872172987043.

It is a super-2 number, since 2×340789271278082 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34078927127803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76548988 + ... + 76992891.

Almost surely, 234078927127808 is an apocalyptic number.

It is an amenable number.

34078927127808 is an abundant number, since it is smaller than the sum of its proper divisors (62269830907232).

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

34078927127808 is a wasteful number, since it uses less digits than its factorization.

34078927127808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153541932 (or 153541901 counting only the distinct ones).

The product of its (nonzero) digits is 75866112, while the sum is 66.

The spelling of 34078927127808 in words is "thirty-four trillion, seventy-eight billion, nine hundred twenty-seven million, one hundred twenty-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 289 384 408 544 578 768 816 867 1088 1156 1632 1734 2176 2312 3264 3468 4352 4624 6528 6936 9248 13056 13872 18496 27744 36992 55488 73984 110976 221952 153541879 307083758 460625637 614167516 921251274 1228335032 1842502548 2456670064 2610211943 3685005096 4913340128 5220423886 7370010192 7830635829 9826680256 10440847772 14740020384 15661271658 19653360512 20881695544 29480040768 31322543316 39306721024 41763391088 44373603031 58960081536 62645086632 83526782176 88747206062 117920163072 125290173264 133120809093 167053564352 177494412124 250580346528 266241618186 334107128704 354988824248 501160693056 532483236372 668214257408 709977648496 1002321386112 1064966472744 1419955296992 2004642772224 2129932945488 2839910593984 4259865890976 5679821187968 8519731781952 11359642375936 17039463563904 34078927127808