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125841257152 = 26133143113467
BaseRepresentation
bin111010100110010111…
…0010011001011000000
3110000211002112012220221
41311030232103023000
54030210330212102
6133451034512424
712043315015432
oct1651456231300
9400732465827
10125841257152
1149407122076
122047bb95714
13bb36412950
14613b032652
153417bd3637
hex1d4cb932c0

125841257152 has 112 divisors (see below), whose sum is σ = 284058514432. Its totient is φ = 54899389440.

The previous prime is 125841257149. The next prime is 125841257189. The reversal of 125841257152 is 251752148521.

It is a happy number.

125841257152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1258412571522 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a junction number, because it is equal to n+sod(n) for n = 125841257099 and 125841257108.

It is an unprimeable number.

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, 1052323 + ... + 1165789.

It is an arithmetic number, because the mean of its divisors is an integer number (2536236736).

Almost surely, 2125841257152 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 125841257152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142029257216).

125841257152 is an abundant number, since it is smaller than the sum of its proper divisors (158217257280).

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

125841257152 is a wasteful number, since it uses less digits than its factorization.

125841257152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113566 (or 113556 counting only the distinct ones).

The product of its digits is 224000, while the sum is 43.

The spelling of 125841257152 in words is "one hundred twenty-five billion, eight hundred forty-one million, two hundred fifty-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 31 32 43 52 62 64 86 104 124 172 208 248 344 403 416 496 559 688 806 832 992 1118 1333 1376 1612 1984 2236 2666 2752 3224 4472 5332 6448 8944 10664 12896 17329 17888 21328 25792 34658 35776 42656 69316 85312 113467 138632 226934 277264 453868 554528 907736 1109056 1475071 1815472 2950142 3517477 3630944 4879081 5900284 7034954 7261888 9758162 11800568 14069908 19516324 23601136 28139816 39032648 45727201 47202272 56279632 63428053 78065296 91454402 94404544 112559264 126856106 151251511 156130592 182908804 225118528 253712212 302503022 312261184 365817608 507424424 605006044 731635216 1014848848 1210012088 1463270432 1966269643 2029697696 2420024176 2926540864 3932539286 4059395392 4840048352 7865078572 9680096704 15730157144 31460314288 62920628576 125841257152