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125614067106 = 2311210910971447
BaseRepresentation
bin111010011111100101…
…1101000110110100010
3110000020021000202202210
41310333023220312202
54024224200121411
6133412321222550
712034555644663
oct1647713506642
9400207022683
10125614067106
11492aa958900
1220417a91a56
13bacb328678
146118bb336a
153402ca7ca6
hex1d3f2e8da2

125614067106 has 96 divisors (see below), whose sum is σ = 279123546240. Its totient is φ = 37655228160.

The previous prime is 125614067087. The next prime is 125614067147. The reversal of 125614067106 is 601760416521.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86809275 + ... + 86810721.

It is an arithmetic number, because the mean of its divisors is an integer number (2907536940).

Almost surely, 2125614067106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125614067106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139561773120).

125614067106 is an abundant number, since it is smaller than the sum of its proper divisors (153509479134).

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

125614067106 is a wasteful number, since it uses less digits than its factorization.

125614067106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2680 (or 2669 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 125614067106 in words is "one hundred twenty-five billion, six hundred fourteen million, sixty-seven thousand, one hundred six".

Divisors: 1 2 3 6 11 22 33 66 109 121 218 242 327 363 654 726 1097 1199 1447 2194 2398 2894 3291 3597 4341 6582 7194 8682 12067 13189 15917 24134 26378 31834 36201 39567 47751 72402 79134 95502 119573 132737 157723 175087 239146 265474 315446 350174 358719 398211 473169 525261 717438 796422 946338 1050522 1315303 1587359 1734953 2630606 3174718 3469906 3945909 4762077 5204859 7891818 9524154 10409718 14468333 17460949 19084483 28936666 34921898 38168966 43404999 52382847 57253449 86809998 104765694 114506898 173022131 192070439 346044262 384140878 519066393 576211317 1038132786 1152422634 1903243441 3806486882 5709730323 11419460646 20935677851 41871355702 62807033553 125614067106