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152830856352 = 25313711620351
BaseRepresentation
bin1000111001010101101…
…1011100110010100000
3112121111001012220202010
42032111123130302200
510000444144400402
6154113131352520
714020201562526
oct2162533346240
9477431186663
10152830856352
11598a7041459
12257528b2740
1311547bc13a5
14757b728316
153e973b1a6c
hex23956dcca0

152830856352 has 48 divisors (see below), whose sum is σ = 404109361152. Its totient is φ = 50571763200.

The previous prime is 152830856333. The next prime is 152830856357. The reversal of 152830856352 is 253658038251.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (152830856357) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5797024 + ... + 5823327.

It is an arithmetic number, because the mean of its divisors is an integer number (8418945024).

Almost surely, 2152830856352 is an apocalyptic number.

152830856352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

152830856352 is an abundant number, since it is smaller than the sum of its proper divisors (251278504800).

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

152830856352 is a wasteful number, since it uses less digits than its factorization.

152830856352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11620501 (or 11620493 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 48.

The spelling of 152830856352 in words is "one hundred fifty-two billion, eight hundred thirty million, eight hundred fifty-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 137 274 411 548 822 1096 1644 2192 3288 4384 6576 13152 11620351 23240702 34861053 46481404 69722106 92962808 139444212 185925616 278888424 371851232 557776848 1115553696 1591988087 3183976174 4775964261 6367952348 9551928522 12735904696 19103857044 25471809392 38207714088 50943618784 76415428176 152830856352