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5006497447656 = 2332233557849943
BaseRepresentation
bin100100011011010101010…
…0000000111111011101000
3122201121122102012122222200
41020312222200013323220
51124011301321311111
614351541515220200
71024464450104205
oct110665240077350
918647572178880
105006497447656
111660275321111
1268a361a47660
132a4159230453
1413445c684cac
158a36cd6b256
hex48daa807ee8

5006497447656 has 96 divisors (see below), whose sum is σ = 14152791519360. Its totient is φ = 1595823901056.

The previous prime is 5006497447613. The next prime is 5006497447669. The reversal of 5006497447656 is 6567447946005.

5006497447656 is a `hidden beast` number, since 5 + 0 + 0 + 6 + 49 + 74 + 476 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5006497447593 and 5006497447602.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5465421 + ... + 6315363.

It is an arithmetic number, because the mean of its divisors is an integer number (147424911660).

Almost surely, 25006497447656 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 5006497447656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7076395759680).

5006497447656 is an abundant number, since it is smaller than the sum of its proper divisors (9146294071704).

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

5006497447656 is a wasteful number, since it uses less digits than its factorization.

5006497447656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853535 (or 853528 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 63.

The spelling of 5006497447656 in words is "five trillion, six billion, four hundred ninety-seven million, four hundred forty-seven thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1656 3557 7114 10671 14228 21342 28456 32013 42684 64026 81811 85368 128052 163622 245433 256104 327244 490866 654488 736299 849943 981732 1472598 1699886 1963464 2549829 2945196 3399772 5099658 5890392 6799544 7649487 10199316 15298974 19548689 20398632 30597948 39097378 58646067 61195896 78194756 117292134 156389512 175938201 234584268 351876402 469168536 703752804 1407505608 3023247251 6046494502 9069741753 12092989004 18139483506 24185978008 27209225259 36278967012 54418450518 69534686773 72557934024 108836901036 139069373546 208604060319 217673802072 278138747092 417208120638 556277494184 625812180957 834416241276 1251624361914 1668832482552 2503248723828 5006497447656