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125993726656 = 2672291385399
BaseRepresentation
bin111010101010111001…
…1111011001011000000
3110001012201102110202121
41311111303323023000
54031013343223111
6133514122454024
712050146002100
oct1652563731300
9401181373677
10125993726656
11494851a0726
1220503064314
13bb5bb978a5
1461533a1200
15342629e871
hex1d55cfb2c0

125993726656 has 84 divisors (see below), whose sum is σ = 300867318000. Its totient is φ = 52135297536.

The previous prime is 125993726609. The next prime is 125993726699. The reversal of 125993726656 is 656627399521.

It is a junction number, because it is equal to n+sod(n) for n = 125993726594 and 125993726603.

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, 601756 + ... + 783643.

Almost surely, 2125993726656 is an apocalyptic number.

125993726656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

125993726656 is an abundant number, since it is smaller than the sum of its proper divisors (174873591344).

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

125993726656 is a wasteful number, since it uses less digits than its factorization.

125993726656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1385454 (or 1385437 counting only the distinct ones).

The product of its digits is 36741600, while the sum is 61.

The spelling of 125993726656 in words is "one hundred twenty-five billion, nine hundred ninety-three million, seven hundred twenty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 29 32 49 56 58 64 98 112 116 196 203 224 232 392 406 448 464 784 812 928 1421 1568 1624 1856 2842 3136 3248 5684 6496 11368 12992 22736 45472 90944 1385399 2770798 5541596 9697793 11083192 19395586 22166384 38791172 40176571 44332768 67884551 77582344 80353142 88665536 135769102 155164688 160706284 271538204 281235997 310329376 321412568 543076408 562471994 620658752 642825136 1086152816 1124943988 1285650272 1968651979 2172305632 2249887976 2571300544 3937303958 4344611264 4499775952 7874607916 8999551904 15749215832 17999103808 31498431664 62996863328 125993726656