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149640147072 = 2732139991997
BaseRepresentation
bin1000101101011100111…
…1110111000010000000
3112022020200100002110100
42023113033313002000
54422430334201242
6152424351402400
713545136156233
oct2132717670200
9468220302410
10149640147072
1158509a64339
1225002223400
1311159b56630
147357a7b41a
153d5c1eb54c
hex22d73f7080

149640147072 has 96 divisors (see below), whose sum is σ = 463728627180. Its totient is φ = 46043117568.

The previous prime is 149640147071. The next prime is 149640147079. The reversal of 149640147072 is 270741046941.

It can be written as a sum of positive squares in 2 ways, for example, as 119455949376 + 30184197696 = 345624^2 + 173736^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (149640147071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4981023 + ... + 5010974.

Almost surely, 2149640147072 is an apocalyptic number.

149640147072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

149640147072 is an abundant number, since it is smaller than the sum of its proper divisors (314088480108).

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

149640147072 is a wasteful number, since it uses less digits than its factorization.

149640147072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9992030 (or 9992015 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 149640147072 in words is "one hundred forty-nine billion, six hundred forty million, one hundred forty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 832 936 1152 1248 1664 1872 2496 3744 4992 7488 14976 9991997 19983994 29975991 39967988 59951982 79935976 89927973 119903964 129895961 159871952 179855946 239807928 259791922 319743904 359711892 389687883 479615856 519583844 639487808 719423784 779375766 959231712 1039167688 1169063649 1278975616 1438847568 1558751532 1918463424 2078335376 2338127298 2877695136 3117503064 3836926848 4156670752 4676254596 5755390272 6235006128 8313341504 9352509192 11510780544 12470012256 16626683008 18705018384 24940024512 37410036768 49880049024 74820073536 149640147072