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135053106534 = 232109151607751
BaseRepresentation
bin111110111000111001…
…0101101110101100110
3110220121002020122122200
41331301302231311212
54203042043402114
6142013104435330
712520512315243
oct1756162556546
9426532218580
10135053106534
1152303a59935
1222211018b46
13c973a387b8
1467726325ca
1537a67aa409
hex1f71cadd66

135053106534 has 96 divisors (see below), whose sum is σ = 298141409280. Its totient is φ = 44177400000.

The previous prime is 135053106523. The next prime is 135053106547. The reversal of 135053106534 is 435601350531.

135053106534 is a `hidden beast` number, since 1 + 35 + 0 + 531 + 0 + 65 + 34 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 179830659 + ... + 179831409.

It is an arithmetic number, because the mean of its divisors is an integer number (3105639680).

Almost surely, 2135053106534 is an apocalyptic number.

135053106534 is an abundant number, since it is smaller than the sum of its proper divisors (163088302746).

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

135053106534 is a wasteful number, since it uses less digits than its factorization.

135053106534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The spelling of 135053106534 in words is "one hundred thirty-five billion, fifty-three million, one hundred six thousand, five hundred thirty-four".

Divisors: 1 2 3 6 9 18 109 151 218 302 327 453 607 654 751 906 981 1214 1359 1502 1821 1962 2253 2718 3642 4506 5463 6759 10926 13518 16459 32918 49377 66163 81859 91657 98754 113401 132326 148131 163718 183314 198489 226802 245577 274971 296262 340203 396978 455857 491154 549942 595467 680406 736731 824913 911714 1020609 1190934 1367571 1473462 1649826 2041218 2735142 4102713 8205426 9990613 12360709 19981226 24721418 29971839 37082127 49688413 59943678 68834407 74164254 89915517 99376826 111246381 137668814 149065239 179831034 206503221 222492762 298130478 413006442 447195717 619509663 894391434 1239019326 7502950363 15005900726 22508851089 45017702178 67526553267 135053106534