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149527996032 = 2731953386689
BaseRepresentation
bin1000101101000010010…
…0000010011010000000
3112021221212022020011010
42023100210002122000
54422213131333112
6152405303520520
713542304665252
oct2132044023200
9467855266133
10149527996032
1158461723628
1224b90759140
131113c84a17c
147346c05cd2
153d5244663c
hex22d0902680

149527996032 has 128 divisors (see below), whose sum is σ = 425977704000. Its totient is φ = 46328315904.

The previous prime is 149527996019. The next prime is 149527996063. The reversal of 149527996032 is 230699725941.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193344 + ... + 580032.

Almost surely, 2149527996032 is an apocalyptic number.

149527996032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is a pronic number, being equal to 386688×386689.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149527996032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212988852000).

149527996032 is an abundant number, since it is smaller than the sum of its proper divisors (276449707968).

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

149527996032 is a wasteful number, since it uses less digits than its factorization.

149527996032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386778 (or 386766 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 57.

The spelling of 149527996032 in words is "one hundred forty-nine billion, five hundred twenty-seven million, nine hundred ninety-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 53 57 64 76 96 106 114 128 152 159 192 212 228 304 318 384 424 456 608 636 848 912 1007 1216 1272 1696 1824 2014 2432 2544 3021 3392 3648 4028 5088 6042 6784 7296 8056 10176 12084 16112 20352 24168 32224 48336 64448 96672 128896 193344 386688 386689 773378 1160067 1546756 2320134 3093512 4640268 6187024 7347091 9280536 12374048 14694182 18561072 20494517 22041273 24748096 29388364 37122144 40989034 44082546 49496192 58776728 61483551 74244288 81978068 88165092 117553456 122967102 148488576 163956136 176330184 235106912 245934204 327912272 352660368 389395823 470213824 491868408 655824544 705320736 778791646 940427648 983736816 1168187469 1311649088 1410641472 1557583292 1967473632 2336374938 2623298176 2821282944 3115166584 3934947264 4672749876 6230333168 7869894528 9345499752 12460666336 18690999504 24921332672 37381999008 49842665344 74763998016 149527996032