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125245353504 = 2532399415801
BaseRepresentation
bin111010010100100110…
…1000110111000100000
3102222021120020011210110
41310221031012320200
54023000302303004
6133311550331320
712022460640135
oct1645115067040
9388246204713
10125245353504
1149130811917
12203344b9b40
13ba6cb1c73b
1460c1c3458c
1533d0724589
hex1d29346e20

125245353504 has 96 divisors (see below), whose sum is σ = 330552472320. Its totient is φ = 41522432000.

The previous prime is 125245353451. The next prime is 125245353511. The reversal of 125245353504 is 405353542521.

125245353504 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21587404 + ... + 21593204.

It is an arithmetic number, because the mean of its divisors is an integer number (3443254920).

Almost surely, 2125245353504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125245353504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165276236160).

125245353504 is an abundant number, since it is smaller than the sum of its proper divisors (205307118816).

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

125245353504 is a wasteful number, since it uses less digits than its factorization.

125245353504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6994 (or 6986 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 39.

The spelling of 125245353504 in words is "one hundred twenty-five billion, two hundred forty-five million, three hundred fifty-three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 239 478 717 941 956 1434 1882 1912 2823 2868 3764 3824 5646 5736 5801 7528 7648 11292 11472 11602 15056 17403 22584 22944 23204 30112 34806 45168 46408 69612 90336 92816 139224 185632 224899 278448 449798 556896 674697 899596 1349394 1386439 1799192 2698788 2772878 3598384 4159317 5397576 5458741 5545756 7196768 8318634 10795152 10917482 11091512 16376223 16637268 21590304 21834964 22183024 32752446 33274536 43669928 44366048 65504892 66549072 87339856 131009784 133098144 174679712 262019568 524039136 1304639099 2609278198 3913917297 5218556396 7827834594 10437112792 15655669188 20874225584 31311338376 41748451168 62622676752 125245353504