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125732352234640 = 245103148710261453
BaseRepresentation
bin11100100101101001011000…
…001100010001010010010000
3121111011220011210211100210011
4130211221120030101102100
5112434444324133002030
61123224351211244304
735324601620215534
oct3445513014212220
9544156153740704
10125732352234640
1137075878001068
1212127932449694
135520682456678
14230969a70dbc4
15e808c12e6b2a
hex725a58311490

125732352234640 has 80 divisors (see below), whose sum is σ = 295364378469888. Its totient is φ = 49771161681408.

The previous prime is 125732352234631. The next prime is 125732352234641. The reversal of 125732352234640 is 46432253237521.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (125732352234641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7122154 + ... + 17383606.

Almost surely, 2125732352234640 is an apocalyptic number.

125732352234640 is a gapful number since it is divisible by the number (10) 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 125732352234640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147682189234944).

125732352234640 is an abundant number, since it is smaller than the sum of its proper divisors (169632026235248).

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

125732352234640 is a wasteful number, since it uses less digits than its factorization.

125732352234640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10263056 (or 10263050 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 49.

The spelling of 125732352234640 in words is "one hundred twenty-five trillion, seven hundred thirty-two billion, three hundred fifty-two million, two hundred thirty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 103 206 412 515 824 1030 1487 1648 2060 2974 4120 5948 7435 8240 11896 14870 23792 29740 59480 118960 153161 306322 612644 765805 1225288 1531610 2450576 3063220 6126440 10261453 12252880 20522906 41045812 51307265 82091624 102614530 164183248 205229060 410458120 820916240 1056929659 2113859318 4227718636 5284648295 8455437272 10569296590 15258780611 16910874544 21138593180 30517561222 42277186360 61035122444 76293903055 84554372720 122070244888 152587806110 244140489776 305175612220 610351224440 1220702448880 1571654402933 3143308805866 6286617611732 7858272014665 12573235223464 15716544029330 25146470446928 31433088058660 62866176117320 125732352234640