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93860134896 = 24311596149393
BaseRepresentation
bin101011101101001111…
…1111111111111110000
322222021021101212201110
41113122133333333300
53014211143304041
6111041352233320
76531640661103
oct1273237777760
9288237355643
1093860134896
1136895665620
121623569b840
138b0a782b78
14478584473a
1526951c5516
hex15da7ffff0

93860134896 has 160 divisors (see below), whose sum is σ = 273413571840. Its totient is φ = 27501465600.

The previous prime is 93860134883. The next prime is 93860134943. The reversal of 93860134896 is 69843106839.

It is a happy number.

It is a congruent number.

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, 1875576 + ... + 1924968.

It is an arithmetic number, because the mean of its divisors is an integer number (1708834824).

Almost surely, 293860134896 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 93860134896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136706785920).

93860134896 is an abundant number, since it is smaller than the sum of its proper divisors (179553436944).

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

93860134896 is a wasteful number, since it uses less digits than its factorization.

93860134896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49535 (or 49529 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 57.

The spelling of 93860134896 in words is "ninety-three billion, eight hundred sixty million, one hundred thirty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 59 61 66 88 118 122 132 176 177 183 236 244 264 354 366 472 488 528 649 671 708 732 944 976 1298 1342 1416 1464 1947 2013 2596 2684 2832 2928 3599 3894 4026 5192 5368 7198 7788 8052 10384 10736 10797 14396 15576 16104 21594 28792 31152 32208 39589 43188 49393 57584 79178 86376 98786 118767 148179 158356 172752 197572 237534 296358 316712 395144 475068 543323 592716 633424 790288 950136 1086646 1185432 1629969 1900272 2173292 2370864 2914187 3012973 3259938 4346584 5828374 6025946 6519876 8693168 8742561 9038919 11656748 12051892 13039752 17485122 18077838 23313496 24103784 26079504 32056057 33142703 34970244 36155676 46626992 48207568 64112114 66285406 69940488 72311352 96168171 99428109 128224228 132570812 139880976 144622704 177765407 192336342 198856218 256448456 265141624 355530814 384672684 397712436 512896912 530283248 533296221 711061628 769345368 795424872 1066592442 1422123256 1538690736 1590849744 1955419477 2133184884 2844246512 3910838954 4266369768 5866258431 7821677908 8532739536 11732516862 15643355816 23465033724 31286711632 46930067448 93860134896