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125210046664 = 231929711073739
BaseRepresentation
bin111010010011100011…
…0011011000011001000
3102222012002210101220201
41310213012123003020
54022412232443124
6133304245501544
712021551556553
oct1644706330310
9388162711821
10125210046664
114911289730a
12203247118b4
13ba6570a111
1460bb28369a
1533cc59d144
hex1d2719b0c8

125210046664 has 128 divisors (see below), whose sum is σ = 261740160000. Its totient is φ = 55915695360.

The previous prime is 125210046623. The next prime is 125210046701. The reversal of 125210046664 is 466640012521.

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 31 ways as a sum of consecutive naturals, for example, 33485707 + ... + 33489445.

It is an arithmetic number, because the mean of its divisors is an integer number (2044845000).

Almost surely, 2125210046664 is an apocalyptic number.

It is an amenable number.

125210046664 is an abundant number, since it is smaller than the sum of its proper divisors (136530113336).

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

125210046664 is a wasteful number, since it uses less digits than its factorization.

125210046664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3971 (or 3967 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 125210046664 in words is "one hundred twenty-five billion, two hundred ten million, forty-six thousand, six hundred sixty-four".

Divisors: 1 2 4 8 19 29 38 58 71 76 107 116 142 152 214 232 284 428 551 568 856 1102 1349 2033 2059 2204 2698 3103 3739 4066 4118 4408 5396 6206 7478 7597 8132 8236 10792 12412 14956 15194 16264 16472 24824 29912 30388 39121 58957 60776 71041 78242 108431 117914 142082 144343 156484 216862 220313 235828 265469 284164 288686 312968 400073 433724 440626 471656 530938 568328 577372 800146 867448 881252 1061876 1154744 1600292 1762504 2060189 2123752 3200584 4120378 4185947 5043911 7601387 7698601 8240756 8371894 10087822 11602117 15202774 15397202 16481512 16743788 20175644 23204234 28405183 30405548 30794404 33487576 40351288 46408468 56810366 60811096 61588808 92816936 113620732 146273419 220440223 227241464 292546838 440880446 539698477 585093676 823750307 881760892 1079396954 1170187352 1647500614 1763521784 2158793908 3295001228 4317587816 6590002456 15651255833 31302511666 62605023332 125210046664