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152534373320 = 235710126920051
BaseRepresentation
bin1000111000001111000…
…0011101001111001000
3112120201101100000111002
42032003300131033020
54444342244421240
6154023500554132
714006641531520
oct2160360351710
9476641300432
10152534373320
115976474a35a
122568b552948
13114cb655344
1475501cc680
153e7b349d15
hex2383c1d3c8

152534373320 has 128 divisors (see below), whose sum is σ = 397607097600. Its totient is φ = 51584640000.

The previous prime is 152534373319. The next prime is 152534373373. The reversal of 152534373320 is 23373435251.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7597295 + ... + 7617345.

It is an arithmetic number, because the mean of its divisors is an integer number (3106305450).

Almost surely, 2152534373320 is an apocalyptic number.

152534373320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152534373320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198803548800).

152534373320 is an abundant number, since it is smaller than the sum of its proper divisors (245072724280).

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

152534373320 is a wasteful number, since it uses less digits than its factorization.

152534373320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20439 (or 20435 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 38.

The spelling of 152534373320 in words is "one hundred fifty-two billion, five hundred thirty-four million, three hundred seventy-three thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 101 140 202 269 280 404 505 538 707 808 1010 1076 1345 1414 1883 2020 2152 2690 2828 3535 3766 4040 5380 5656 7070 7532 9415 10760 14140 15064 18830 20051 27169 28280 37660 40102 54338 75320 80204 100255 108676 135845 140357 160408 190183 200510 217352 271690 280714 380366 401020 543380 561428 701785 760732 802040 950915 1086760 1122856 1403570 1521464 1901830 2025151 2807140 3803660 4050302 5393719 5614280 7607320 8100604 10125755 10787438 14176057 16201208 20251510 21574876 26968595 28352114 37756033 40503020 43149752 53937190 56704228 70880285 75512066 81006040 107874380 113408456 141760570 151024132 188780165 215748760 283521140 302048264 377560330 544765619 567042280 755120660 1089531238 1510241320 2179062476 2723828095 3813359333 4358124952 5447656190 7626718666 10895312380 15253437332 19066796665 21790624760 30506874664 38133593330 76267186660 152534373320