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132045515442258 = 2311349461110911213
BaseRepresentation
bin11110000001100000111110…
…000010101100100001010010
3122022112102120000012011122120
4132001200332002230201102
5114301413203423123013
61144500512232515110
736545654653116105
oct3601407602544122
9568472500164576
10132045515442258
113908a2090584a0
121298737bb4ba96
13588aab975b4c2
14248707393273c
15103ec1837d123
hex78183e0ac852

132045515442258 has 128 divisors (see below), whose sum is σ = 289838479392000. Its totient is φ = 39773143833600.

The previous prime is 132045515442257. The next prime is 132045515442263. The reversal of 132045515442258 is 852244515540231.

It is a self number, because there is not a number n which added to its sum of digits gives 132045515442258.

It is not an unprimeable number, because it can be changed into a prime (132045515442257) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 11776103860 + ... + 11776115072.

It is an arithmetic number, because the mean of its divisors is an integer number (2264363120250).

Almost surely, 2132045515442258 is an apocalyptic number.

132045515442258 is an abundant number, since it is smaller than the sum of its proper divisors (157792963949742).

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

132045515442258 is a wasteful number, since it uses less digits than its factorization.

132045515442258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13148.

The product of its (nonzero) digits is 7680000, while the sum is 51.

The spelling of 132045515442258 in words is "one hundred thirty-two trillion, forty-five billion, five hundred fifteen million, four hundred forty-two thousand, two hundred fifty-eight".

Divisors: 1 2 3 6 11 22 33 66 349 461 698 922 1047 1109 1383 2094 2218 2766 3327 3839 5071 6654 7678 10142 11213 11517 12199 15213 22426 23034 24398 30426 33639 36597 67278 73194 123343 160889 246686 321778 370029 387041 482667 511249 740058 774082 965334 1022498 1161123 1533747 1769779 2322246 3067494 3539558 3913337 4257451 5169193 5309337 5623739 7826674 8514902 10338386 10618674 11247478 11740011 12435217 12772353 15507579 16871217 23480022 24870434 25544706 31015158 33742434 37305651 43046707 56861123 74611302 86093414 113722246 129140121 136787387 170583369 178425901 258280242 273574774 341166738 356851802 410362161 535277703 820724322 1070555406 1804048357 1962684911 3608096714 3925369822 4339890733 5412145071 5732635037 5888054733 8679781466 10824290142 11465270074 11776109466 13019672199 17197905111 19844531927 26039344398 34395810222 39689063854 47738798063 59533595781 63058985407 95477596126 119067191562 126117970814 143216394189 189176956221 286432788378 378353912442 2000689627913 4001379255826 6002068883739 12004137767478 22007585907043 44015171814086 66022757721129 132045515442258