Search a number
-
+
96135525918 = 233191095031709
BaseRepresentation
bin101100110001000011…
…1111011011000011110
3100012010211221201102000
41121202013323120132
53033341143312133
6112055233543130
76642220326135
oct1314207733036
9305124851360
1096135525918
1137852aa8573
121676b714aa6
1390b0cbcaa3
14491db0891c
152779d35413
hex16621fb61e

96135525918 has 128 divisors (see below), whose sum is σ = 227525760000. Its totient is φ = 30002700672.

The previous prime is 96135525859. The next prime is 96135525931. The reversal of 96135525918 is 81952553169.

96135525918 is a `hidden beast` number, since 9 + 613 + 5 + 5 + 2 + 5 + 9 + 18 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

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, 56251648 + ... + 56253356.

It is an arithmetic number, because the mean of its divisors is an integer number (1777545000).

Almost surely, 296135525918 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96135525918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113762880000).

96135525918 is an abundant number, since it is smaller than the sum of its proper divisors (131390234082).

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

96135525918 is a wasteful number, since it uses less digits than its factorization.

96135525918 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2351 (or 2345 counting only the distinct ones).

The product of its digits is 2916000, while the sum is 54.

The spelling of 96135525918 in words is "ninety-six billion, one hundred thirty-five million, five hundred twenty-five thousand, nine hundred eighteen".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 109 114 171 218 327 342 503 513 654 981 1006 1026 1509 1709 1962 2071 2943 3018 3418 4142 4527 5127 5886 6213 9054 9557 10254 12426 13581 15381 18639 19114 27162 28671 30762 32471 37278 46143 54827 55917 57342 64942 86013 92286 97413 109654 111834 164481 172026 186281 194826 258039 292239 328962 372562 493443 516078 558843 584478 859627 876717 986886 1041713 1117686 1480329 1676529 1719254 1753434 2083426 2578881 2960658 3125139 3353058 3539339 5029587 5157762 6250278 7078678 7736643 9375417 10059174 10618017 15473286 16332913 18750834 21236034 23209929 28126251 31854051 32665826 46419858 48998739 56252502 63708102 93699343 95562153 97997478 146996217 187398686 191124306 281098029 293992434 440988651 562196058 843294087 881977302 1686588174 1780287517 2529882261 3560575034 5059764522 5340862551 10681725102 16022587653 32045175306 48067762959 96135525918