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125565560106 = 237171313533803
BaseRepresentation
bin111010011110001001…
…0100110010100101010
3110000002212202100200020
41310330102212110222
54024124240410411
6133403425421310
712033426436110
oct1647422462452
9400085670606
10125565560106
1149285537878
122040379a836
13bac12739bc
146112587ab0
1533ed8c5606
hex1d3c4a652a

125565560106 has 128 divisors (see below), whose sum is σ = 307157723136. Its totient is φ = 33404067840.

The previous prime is 125565560093. The next prime is 125565560149. The reversal of 125565560106 is 601065565521.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33015601 + ... + 33019403.

It is an arithmetic number, because the mean of its divisors is an integer number (2399669712).

Almost surely, 2125565560106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125565560106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153578861568).

125565560106 is an abundant number, since it is smaller than the sum of its proper divisors (181592163030).

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

125565560106 is a wasteful number, since it uses less digits than its factorization.

125565560106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4316.

The product of its (nonzero) digits is 270000, while the sum is 42.

The spelling of 125565560106 in words is "one hundred twenty-five billion, five hundred sixty-five million, five hundred sixty thousand, one hundred six".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 131 238 262 353 357 393 706 714 786 917 1059 1834 2118 2227 2471 2751 3803 4454 4942 5502 6001 6681 7413 7606 11409 12002 13362 14826 15589 18003 22818 26621 31178 36006 42007 46243 46767 53242 64651 79863 84014 92486 93534 126021 129302 138729 159726 193953 252042 277458 323701 387906 452557 498193 647402 786131 905114 971103 996386 1342459 1357671 1494579 1572262 1942206 2358393 2684918 2715342 2989158 3487351 4027377 4716786 5502917 6974702 8054754 8469281 9397213 10462053 11005834 16508751 16938562 18794426 20924106 22821803 25407843 28191639 33017502 45643606 50815686 56383278 59284967 68465409 118569934 136930818 159752621 175862129 177854901 319505242 351724258 355709802 479257863 527586387 958515726 1055172774 1231034903 2462069806 2989656193 3693104709 5979312386 7386209418 8968968579 17937937158 20927593351 41855186702 62782780053 125565560106