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125261267640 = 23359349111653
BaseRepresentation
bin111010010101000100…
…1110100001010111000
3102222022200011200212220
41310222021310022320
54023013341031030
6133313315404040
712023043131055
oct1645211641270
9388280150786
10125261267640
11491397a13a3
12203398b3620
13ba732021a2
1460c3db802c
1533d1d19a10
hex1d2a2742b8

125261267640 has 64 divisors (see below), whose sum is σ = 375827364000. Its totient is φ = 33399132672.

The previous prime is 125261267639. The next prime is 125261267641. The reversal of 125261267640 is 46762162521.

It is an interprime number because it is at equal distance from previous prime (125261267639) and next prime (125261267641).

It is a super-2 number, since 2×1252612676402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 125261267592 and 125261267601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125261267641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1066054 + ... + 1177706.

Almost surely, 2125261267640 is an apocalyptic number.

125261267640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125261267640 is an abundant number, since it is smaller than the sum of its proper divisors (250566096360).

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

125261267640 is a wasteful number, since it uses less digits than its factorization.

125261267640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121016 (or 121012 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 125261267640 in words is "one hundred twenty-five billion, two hundred sixty-one million, two hundred sixty-seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 9349 18698 28047 37396 46745 56094 74792 93490 111653 112188 140235 186980 223306 224376 280470 334959 373960 446612 558265 560940 669918 893224 1116530 1121880 1339836 1674795 2233060 2679672 3349590 4466120 6699180 13398360 1043843897 2087687794 3131531691 4175375588 5219219485 6263063382 8350751176 10438438970 12526126764 15657658455 20876877940 25052253528 31315316910 41753755880 62630633820 125261267640