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1486681426656 = 253231166518977
BaseRepresentation
bin10101101000100101000…
…111100100101011100000
312021010101101101111210100
4111220211013210223200
5143324210421123111
63054545542302400
7212260231423446
oct25504507445340
95233341344710
101486681426656
115235529a9088
12200166727a00
13aa269042b8a
1451d54894b96
1528a12eba756
hex15a251e4ae0

1486681426656 has 72 divisors (see below), whose sum is σ = 4364129375424. Its totient is φ = 479574650880.

The previous prime is 1486681426639. The next prime is 1486681426669. The reversal of 1486681426656 is 6566241866841.

1486681426656 is a `hidden beast` number, since 1 + 4 + 86 + 6 + 81 + 426 + 6 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 1486681426593 and 1486681426602.

It is a congruent number.

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, 83250561 + ... + 83268416.

It is an arithmetic number, because the mean of its divisors is an integer number (60612907992).

Almost surely, 21486681426656 is an apocalyptic number.

1486681426656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1486681426656 is an abundant number, since it is smaller than the sum of its proper divisors (2877447948768).

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

1486681426656 is a wasteful number, since it uses less digits than its factorization.

1486681426656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166519024 (or 166519013 counting only the distinct ones).

The product of its digits is 79626240, while the sum is 63.

The spelling of 1486681426656 in words is "one trillion, four hundred eighty-six billion, six hundred eighty-one million, four hundred twenty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2976 4464 8928 166518977 333037954 499556931 666075908 999113862 1332151816 1498670793 1998227724 2664303632 2997341586 3996455448 5162088287 5328607264 5994683172 7992910896 10324176574 11989366344 15486264861 15985821792 20648353148 23978732688 30972529722 41296706296 46458794583 47957465376 61945059444 82593412592 92917589166 123890118888 165186825184 185835178332 247780237776 371670356664 495560475552 743340713328 1486681426656