Search a number
-
+
149132768967 = 32713834015471
BaseRepresentation
bin1000101011100100000…
…0010111011011000111
3112020221022121121112200
42022321000113123013
54420410442101332
6152302144445543
713526435422620
oct2127100273307
9466838547480
10149132768967
1158279618696
1224aa03198b3
13110a89ba1c0
14730a524a47
153d2c8c717c
hex22b90176c7

149132768967 has 96 divisors (see below), whose sum is σ = 269037490176. Its totient is φ = 77507712000.

The previous prime is 149132768963. The next prime is 149132769001. The reversal of 149132768967 is 769867231941.

149132768967 is a `hidden beast` number, since 1 + 491 + 3 + 2 + 7 + 6 + 89 + 67 = 666.

It is not a de Polignac number, because 149132768967 - 22 = 149132768963 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149132768963) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27256042 + ... + 27261512.

It is an arithmetic number, because the mean of its divisors is an integer number (2802473856).

Almost surely, 2149132768967 is an apocalyptic number.

149132768967 is a deficient number, since it is larger than the sum of its proper divisors (119904721209).

149132768967 is a wasteful number, since it uses less digits than its factorization.

149132768967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5981 (or 5978 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 63.

The spelling of 149132768967 in words is "one hundred forty-nine billion, one hundred thirty-two million, seven hundred sixty-eight thousand, nine hundred sixty-seven".

Divisors: 1 3 7 9 13 21 39 63 83 91 117 249 273 401 581 747 819 1079 1203 1743 2807 3237 3609 5213 5229 5471 7553 8421 9711 15639 16413 22659 25263 33283 36491 38297 46917 49239 67977 71123 99849 109473 114891 213369 232981 299547 328419 344673 432679 454093 497861 640107 698943 1298037 1362279 1493583 2096829 2193871 3028753 3178651 3894111 4086837 4480749 5903209 6581613 9086259 9535953 15357097 17709627 19744839 27258777 28520323 28607859 41322463 46071291 53128881 85560969 123967389 138213873 182091293 199642261 256682907 371902167 546273879 598926783 1274639051 1638821637 1796780349 2367186809 3823917153 7101560427 11471751459 16570307663 21304681281 49710922989 149132768967