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125096006064 = 2431710713110937
BaseRepresentation
bin111010010000001001…
…1011001000110110000
3102221220011012112121210
41310200103121012300
54022144034143224
6133245053320120
712015665335641
oct1644023310660
9387804175553
10125096006064
1149064485987
12202b2496040
13ba47bbb883
1460aa0796c8
1533c2573429
hex1d204d91b0

125096006064 has 160 divisors (see below), whose sum is σ = 348040509696. Its totient is φ = 38578708480.

The previous prime is 125096006041. The next prime is 125096006089. The reversal of 125096006064 is 460600690521.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11432404 + ... + 11443340.

Almost surely, 2125096006064 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 125096006064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174020254848).

125096006064 is an abundant number, since it is smaller than the sum of its proper divisors (222944503632).

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

125096006064 is a wasteful number, since it uses less digits than its factorization.

125096006064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11203 (or 11197 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

Adding to 125096006064 its reverse (460600690521), we get a palindrome (585696696585).

The spelling of 125096006064 in words is "one hundred twenty-five billion, ninety-six million, six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 107 131 136 204 214 262 272 321 393 408 428 524 642 786 816 856 1048 1284 1572 1712 1819 2096 2227 2568 3144 3638 4454 5136 5457 6288 6681 7276 8908 10914 10937 13362 14017 14552 17816 21828 21874 26724 28034 29104 32811 35632 42051 43656 43748 53448 56068 65622 84102 87312 87496 106896 112136 131244 168204 174992 185929 224272 238289 262488 336408 371858 476578 524976 557787 672816 714867 743716 953156 1115574 1170259 1429734 1432747 1487432 1906312 2231148 2340518 2859468 2865494 2974864 3510777 3812624 4298241 4462296 4681036 5718936 5730988 7021554 8596482 8924592 9362072 11437872 11461976 14043108 17192964 18724144 19894403 22923952 24356699 28086216 34385928 39788806 48713398 56172432 59683209 68771856 73070097 79577612 97426796 119366418 146140194 153303929 159155224 194853592 238732836 292280388 306607858 318310448 389707184 459911787 477465672 584560776 613215716 919823574 954931344 1169121552 1226431432 1839647148 2452862864 2606166793 3679294296 5212333586 7358588592 7818500379 10424667172 15637000758 20849334344 31274001516 41698668688 62548003032 125096006064