Search a number
-
+
31154166036 = 22327211585913
BaseRepresentation
bin11101000000111011…
…101101100100010100
32222102012001121112100
4131000323231210110
51002300431303121
622151221522100
72152013020260
oct350073554424
988365047470
1031154166036
1112237795064
126055573330
132c2652c496
1417178470a0
15c2510e026
hex740eed914

31154166036 has 72 divisors (see below), whose sum is σ = 90427623104. Its totient is φ = 8858989440.

The previous prime is 31154165971. The next prime is 31154166073. The reversal of 31154166036 is 63066145113.

31154166036 is a `hidden beast` number, since 3 + 1 + 1 + 5 + 41 + 6 + 603 + 6 = 666.

It is a super-2 number, since 2×311541660362 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 239785 + ... + 346128.

Almost surely, 231154166036 is an apocalyptic number.

31154166036 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

31154166036 is an abundant number, since it is smaller than the sum of its proper divisors (59273457068).

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

31154166036 is a wasteful number, since it uses less digits than its factorization.

31154166036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586141 (or 586136 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 31154166036 in words is "thirty-one billion, one hundred fifty-four million, one hundred sixty-six thousand, thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 211 252 422 633 844 1266 1477 1899 2532 2954 3798 4431 5908 7596 8862 13293 17724 26586 53172 585913 1171826 1757739 2343652 3515478 4101391 5273217 7030956 8202782 10546434 12304173 16405564 21092868 24608346 36912519 49216692 73825038 123627643 147650076 247255286 370882929 494510572 741765858 865393501 1112648787 1483531716 1730787002 2225297574 2596180503 3461574004 4450595148 5192361006 7788541509 10384722012 15577083018 31154166036