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149476431984 = 24311547517549
BaseRepresentation
bin1000101100110101111…
…1010101100001110000
3112021211021021111120120
42023031133111201300
54422111431310414
6152400222410240
713541110464615
oct2131537254160
9467737244516
10149476431984
1158435604810
1224b77430980
1311131c64bb9
14734002250c
153d4cb5d2a9
hex22cd7d5870

149476431984 has 80 divisors (see below), whose sum is σ = 422022691200. Its totient is φ = 45212993280.

The previous prime is 149476431977. The next prime is 149476431991. The reversal of 149476431984 is 489134674941.

It is a happy number.

149476431984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (149476431977) and next prime (149476431991).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 30042 + ... + 547590.

It is an arithmetic number, because the mean of its divisors is an integer number (5275283640).

Almost surely, 2149476431984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149476431984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211011345600).

149476431984 is an abundant number, since it is smaller than the sum of its proper divisors (272546259216).

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

149476431984 is a wasteful number, since it uses less digits than its factorization.

149476431984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518118 (or 518112 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 60.

The spelling of 149476431984 in words is "one hundred forty-nine billion, four hundred seventy-six million, four hundred thirty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 547 1094 1641 2188 3282 4376 6017 6564 8752 12034 13128 18051 24068 26256 36102 48136 72204 96272 144408 288816 517549 1035098 1552647 2070196 3105294 4140392 5693039 6210588 8280784 11386078 12421176 17079117 22772156 24842352 34158234 45544312 68316468 91088624 136632936 273265872 283099303 566198606 849297909 1132397212 1698595818 2264794424 3114092333 3397191636 4529588848 6228184666 6794383272 9342276999 12456369332 13588766544 18684553998 24912738664 37369107996 49825477328 74738215992 149476431984