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135514012114524 = 223792571329141849
BaseRepresentation
bin11110110011111111010000…
…100011011101111001011100
3122202211000100111121022000010
4132303333100203131321130
5120230230144100131044
61200114135554003220
740354364356306161
oct3663772043357134
9582730314538003
10135514012114524
113a1a7195aa521a
1213247634576510
135a7cbbb758234
142566cadab6068
1510a006cb25bb9
hex7b3fd08dde5c

135514012114524 has 96 divisors (see below), whose sum is σ = 321479673984000. Its totient is φ = 44421605130240.

The previous prime is 135514012114441. The next prime is 135514012114553. The reversal of 135514012114524 is 425411210415531.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3238145152 + ... + 3238187000.

It is an arithmetic number, because the mean of its divisors is an integer number (3348746604000).

Almost surely, 2135514012114524 is an apocalyptic number.

It is an amenable number.

135514012114524 is an abundant number, since it is smaller than the sum of its proper divisors (185965661869476).

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

135514012114524 is a wasteful number, since it uses less digits than its factorization.

135514012114524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55483 (or 55481 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 39.

The spelling of 135514012114524 in words is "one hundred thirty-five trillion, five hundred fourteen billion, twelve million, one hundred fourteen thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 12 79 158 237 257 316 474 514 771 948 1028 1542 3084 13291 20303 26582 39873 40606 41849 53164 60909 79746 81212 83698 121818 125547 159492 167396 243636 251094 502188 1049989 2099978 3149967 3306071 3415787 4199956 6299934 6612142 6831574 9918213 10247361 10755193 12599868 13224284 13663148 19836426 20494722 21510386 32265579 39672852 40989444 43020772 64531158 129062316 269847173 539694346 556215059 809541519 849660247 1079388692 1112430118 1619083038 1668645177 1699320494 2224860236 2548980741 3238166076 3337290354 3398640988 5097961482 6674580708 10195922964 43940989661 87881979322 131822968983 142947270163 175763958644 263645937966 285894540326 428841810489 527291875932 571789080652 857683620978 1715367241956 11292834342877 22585668685754 33878503028631 45171337371508 67757006057262 135514012114524