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125883731712 = 283166798327
BaseRepresentation
bin111010100111101000…
…0010100111100000000
3110000221001110011001210
41311033100110330000
54030302213403322
6133455153130120
712044342031114
oct1651720247400
9400831404053
10125883731712
11494290a2912
1220492259940
13bb4216491b
14614292b744
15341b7c370c
hex1d4f414f00

125883731712 has 72 divisors (see below), whose sum is σ = 335238696576. Its totient is φ = 41935645696.

The previous prime is 125883731711. The next prime is 125883731717. The reversal of 125883731712 is 217137388521.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125883731711) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1231093 + ... + 1329419.

It is an arithmetic number, because the mean of its divisors is an integer number (4656093008).

Almost surely, 2125883731712 is an apocalyptic number.

125883731712 is a gapful number since it is divisible by the number (12) 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 125883731712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167619348288).

125883731712 is an abundant number, since it is smaller than the sum of its proper divisors (209354964864).

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

125883731712 is an equidigital number, since it uses as much as digits as its factorization.

125883731712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100013 (or 99999 counting only the distinct ones).

The product of its digits is 564480, while the sum is 48.

The spelling of 125883731712 in words is "one hundred twenty-five billion, eight hundred eighty-three million, seven hundred thirty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 1667 3334 5001 6668 10002 13336 20004 26672 40008 53344 80016 98327 106688 160032 196654 213376 294981 320064 393308 426752 589962 640128 786616 1179924 1280256 1573232 2359848 3146464 4719696 6292928 9439392 12585856 18878784 25171712 37757568 75515136 163911109 327822218 491733327 655644436 983466654 1311288872 1966933308 2622577744 3933866616 5245155488 7867733232 10490310976 15735466464 20980621952 31470932928 41961243904 62941865856 125883731712