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5010971571456 = 28341433700909
BaseRepresentation
bin100100011101011010100…
…1011100011010100000000
3122202001012020001201000120
41020322311023203110000
51124044432210241311
614354001503220240
71025013355403004
oct110726513432400
918661166051016
105010971571456
1116621608a8594
1268b1b02a7680
132a46c0146c96
14134764976704
158a530a47706
hex48eb52e3500

5010971571456 has 144 divisors (see below), whose sum is σ = 13979491753920. Its totient is φ = 1591686512640.

The previous prime is 5010971571451. The next prime is 5010971571457. The reversal of 5010971571456 is 6541751790105.

It is a super-2 number, since 2×50109715714562 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5010971571399 and 5010971571408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5010971571451) 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, 496471 + ... + 3204438.

Almost surely, 25010971571456 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 5010971571456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6989745876960).

5010971571456 is an abundant number, since it is smaller than the sum of its proper divisors (8968520182464).

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

5010971571456 is a wasteful number, since it uses less digits than its factorization.

5010971571456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3701012 (or 3700998 counting only the distinct ones).

The product of its (nonzero) digits is 1323000, while the sum is 51.

The spelling of 5010971571456 in words is "five trillion, ten billion, nine hundred seventy-one million, five hundred seventy-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 43 48 64 82 86 96 123 128 129 164 172 192 246 256 258 328 344 384 492 516 656 688 768 984 1032 1312 1376 1763 1968 2064 2624 2752 3526 3936 4128 5248 5289 5504 7052 7872 8256 10496 10578 11008 14104 15744 16512 21156 28208 31488 33024 42312 56416 84624 112832 169248 225664 338496 451328 676992 1353984 3700909 7401818 11102727 14803636 22205454 29607272 44410908 59214544 88821816 118429088 151737269 159139087 177643632 236858176 303474538 318278174 355287264 455211807 473716352 477417261 606949076 636556348 710574528 910423614 947432704 954834522 1213898152 1273112696 1421149056 1820847228 1909669044 2427796304 2546225392 2842298112 3641694456 3819338088 4855592608 5092450784 6524702567 7283388912 7638676176 9711185216 10184901568 13049405134 14566777824 15277352352 19422370432 19574107701 20369803136 26098810268 29133555648 30554704704 38844740864 39148215402 40739606272 52197620536 58267111296 61109409408 78296430804 104395241072 116534222592 122218818816 156592861608 208790482144 313185723216 417580964288 626371446432 835161928576 1252742892864 1670323857152 2505485785728 5010971571456