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156930452820 = 223254153421953
BaseRepresentation
bin1001001000100111001…
…0001010110101010100
3120000001202022222212100
42102021302022311110
510032343143442240
6200032020122100
714223611561031
oct2221162126524
9500052288770
10156930452820
1160610170a09
12264b7836330
1311a4c344a0b
147849da6388
15413725be30
hex2489c8ad54

156930452820 has 288 divisors, whose sum is σ = 498535992864. Its totient is φ = 39920025600.

The previous prime is 156930452813. The next prime is 156930452821. The reversal of 156930452820 is 28254039651.

156930452820 is a `hidden beast` number, since 1 + 5 + 69 + 304 + 5 + 282 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 115544246724 + 41386206096 = 339918^2 + 203436^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (156930452821) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 164669464 + ... + 164670416.

It is an arithmetic number, because the mean of its divisors is an integer number (1731027753).

Almost surely, 2156930452820 is an apocalyptic number.

156930452820 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 156930452820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249267996432).

156930452820 is an abundant number, since it is smaller than the sum of its proper divisors (341605540044).

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

156930452820 is a wasteful number, since it uses less digits than its factorization.

156930452820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1483 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 156930452820 in words is "one hundred fifty-six billion, nine hundred thirty million, four hundred fifty-two thousand, eight hundred twenty".