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125716407296 = 210236779669
BaseRepresentation
bin111010100010101001…
…0000010010000000000
3110000111101121012010012
41311011102002100000
54024431400013141
6133430414524052
712040240554614
oct1650522022000
9400441535105
10125716407296
11493526a8577
1220446206628
13bb165ab3ac
146128613344
15340bc70ceb
hex1d45482400

125716407296 has 88 divisors (see below), whose sum is σ = 266153887680. Its totient is φ = 59227103232.

The previous prime is 125716407281. The next prime is 125716407301. The reversal of 125716407296 is 692704617521.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1538150 + ... + 1617818.

Almost surely, 2125716407296 is an apocalyptic number.

125716407296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125716407296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133076943840).

125716407296 is an abundant number, since it is smaller than the sum of its proper divisors (140437480384).

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

125716407296 is an equidigital number, since it uses as much as digits as its factorization.

125716407296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79779 (or 79761 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 50.

The spelling of 125716407296 in words is "one hundred twenty-five billion, seven hundred sixteen million, four hundred seven thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 23 32 46 64 67 92 128 134 184 256 268 368 512 536 736 1024 1072 1472 1541 2144 2944 3082 4288 5888 6164 8576 11776 12328 17152 23552 24656 34304 49312 68608 79669 98624 159338 197248 318676 394496 637352 788992 1274704 1577984 1832387 2549408 3664774 5098816 5337823 7329548 10197632 10675646 14659096 20395264 21351292 29318192 40790528 42702584 58636384 81581056 85405168 117272768 122769929 170810336 234545536 245539858 341620672 469091072 491079716 683241344 938182144 982159432 1366482688 1876364288 1964318864 2732965376 3928637728 5465930752 7857275456 15714550912 31429101824 62858203648 125716407296