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152738432208 = 24324672271271
BaseRepresentation
bin1000111000111111101…
…0111000010011010000
3112121020121022021122200
42032033322320103100
510000302014312313
6154100030403200
714015000152425
oct2161772702320
9477217267580
10152738432208
115985995486a
1225727960500
1311531a00c4b
14756d349d4c
153e8e206b73
hex238feb84d0

152738432208 has 60 divisors (see below), whose sum is σ = 428370984288. Its totient is φ = 50803767360.

The previous prime is 152738432191. The next prime is 152738432251. The reversal of 152738432208 is 802234837251.

152738432208 is a `hidden beast` number, since 1 + 5 + 2 + 7 + 3 + 8 + 432 + 208 = 666.

152738432208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 1068388 + ... + 1202883.

Almost surely, 2152738432208 is an apocalyptic number.

152738432208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

152738432208 is an abundant number, since it is smaller than the sum of its proper divisors (275632552080).

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

152738432208 is a wasteful number, since it uses less digits than its factorization.

152738432208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2271752 (or 2271743 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 152738432208 in words is "one hundred fifty-two billion, seven hundred thirty-eight million, four hundred thirty-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 467 934 1401 1868 2802 3736 4203 5604 7472 8406 11208 16812 22416 33624 67248 2271271 4542542 6813813 9085084 13627626 18170168 20441439 27255252 36340336 40882878 54510504 81765756 109021008 163531512 327063024 1060683557 2121367114 3182050671 4242734228 6364101342 8485468456 9546152013 12728202684 16970936912 19092304026 25456405368 38184608052 50912810736 76369216104 152738432208