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149093714511 = 32779120124943
BaseRepresentation
bin1000101011011010101…
…1011000101001001111
3112020211121010102220100
42022312223120221033
54420320442331021
6152254231422143
713525452443340
oct2126653305117
9466747112810
10149093714511
1158259573485
1224a8b224953
13110a0894b61
14730527a0c7
153d29260626
hex22b6ad8a4f

149093714511 has 48 divisors (see below), whose sum is σ = 249455964160. Its totient is φ = 84044563200.

The previous prime is 149093714437. The next prime is 149093714521. The reversal of 149093714511 is 115417390941.

149093714511 is a `hidden beast` number, since 1 + 4 + 90 + 9 + 37 + 14 + 511 = 666.

It is not a de Polignac number, because 149093714511 - 217 = 149093583439 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149093714521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5964906 + ... + 5989848.

Almost surely, 2149093714511 is an apocalyptic number.

149093714511 is a deficient number, since it is larger than the sum of its proper divisors (100362249649).

149093714511 is a wasteful number, since it uses less digits than its factorization.

149093714511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26236 (or 26233 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 149093714511 in words is "one hundred forty-nine billion, ninety-three million, seven hundred fourteen thousand, five hundred eleven".

Divisors: 1 3 7 9 21 63 79 237 553 711 1201 1659 3603 4977 8407 10809 24943 25221 74829 75663 94879 174601 224487 284637 523803 664153 853911 1571409 1970497 1992459 5911491 5977377 13793479 17734473 29956543 41380437 89869629 124141311 209695801 269608887 629087403 1887262209 2366566897 7099700691 16565968279 21299102073 49697904837 149093714511