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116542315458 = 236433135939
BaseRepresentation
bin110110010001001110…
…1101001101111000010
3102010211000221001000000
41230202131221233002
53402134313043313
6125312214140430
711264012223312
oct1544235515702
9363730831000
10116542315458
114547510a598
121a705951716
13acb3a4549a
1458d8041442
153071656673
hex1b22769bc2

116542315458 has 112 divisors (see below), whose sum is σ = 269097824160. Its totient is φ = 37816414272.

The previous prime is 116542315441. The next prime is 116542315471. The reversal of 116542315458 is 854513245611.

116542315458 is a `hidden beast` number, since 1 + 1 + 6 + 542 + 3 + 1 + 54 + 58 = 666.

It is a super-2 number, since 2×1165423154582 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 19620253 + ... + 19626191.

Almost surely, 2116542315458 is an apocalyptic number.

116542315458 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 116542315458, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134548912080).

116542315458 is an abundant number, since it is smaller than the sum of its proper divisors (152555508702).

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

116542315458 is an equidigital number, since it uses as much as digits as its factorization.

116542315458 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6315 (or 6300 counting only the distinct ones).

The product of its digits is 576000, while the sum is 45.

The spelling of 116542315458 in words is "one hundred sixteen billion, five hundred forty-two million, three hundred fifteen thousand, four hundred fifty-eight".

Divisors: 1 2 3 6 9 18 27 43 54 81 86 129 162 243 258 313 387 486 626 729 774 939 1161 1458 1878 2322 2817 3483 5634 5939 6966 8451 10449 11878 13459 16902 17817 20898 25353 26918 31347 35634 40377 50706 53451 62694 76059 80754 106902 121131 152118 160353 228177 242262 255377 320706 363393 456354 481059 510754 726786 766131 962118 1090179 1443177 1532262 1858907 2180358 2298393 2886354 3270537 3717814 4329531 4596786 5576721 6541074 6895179 8659062 9811611 11153442 13790358 16730163 19623222 20685537 33460326 41371074 50190489 62056611 79933001 100380978 124113222 150571467 159866002 186169833 239799003 301142934 372339666 451714401 479598006 719397009 903428802 1355143203 1438794018 2158191027 2710286406 4316382054 6474573081 12949146162 19423719243 38847438486 58271157729 116542315458