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149917170384 = 24381428109
BaseRepresentation
bin1000101110011111000…
…0100111101011010000
3112022221222121100000000
42023213300213223100
54424012243423014
6152512045130000
713555041631332
oct2134760475320
9468858540000
10149917170384
1158641375023
122507ab59900
13111a236b157
14738278d452
153d766bc509
hex22e7c27ad0

149917170384 has 90 divisors (see below), whose sum is σ = 435674945810. Its totient is φ = 49972355136.

The previous prime is 149917170329. The next prime is 149917170401. The reversal of 149917170384 is 483071719941.

It is a happy number.

149917170384 is a `hidden beast` number, since 1 + 4 + 9 + 91 + 7 + 170 + 384 = 666.

149917170384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 121312890000 + 28604280384 = 348300^2 + 169128^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 149917170384.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 609079 + ... + 819030.

Almost surely, 2149917170384 is an apocalyptic number.

It is an amenable number.

149917170384 is an abundant number, since it is smaller than the sum of its proper divisors (285757775426).

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

149917170384 is an frugal number, since it uses more digits than its factorization.

149917170384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428141 (or 1428114 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 149917170384 in words is "one hundred forty-nine billion, nine hundred seventeen million, one hundred seventy thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2187 2916 3888 4374 5832 6561 8748 11664 13122 17496 26244 34992 52488 104976 1428109 2856218 4284327 5712436 8568654 11424872 12852981 17137308 22849744 25705962 34274616 38558943 51411924 68549232 77117886 102823848 115676829 154235772 205647696 231353658 308471544 347030487 462707316 616943088 694060974 925414632 1041091461 1388121948 1850829264 2082182922 2776243896 3123274383 4164365844 5552487792 6246548766 8328731688 9369823149 12493097532 16657463376 18739646298 24986195064 37479292596 49972390128 74958585192 149917170384