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156930068736 = 2836721312
BaseRepresentation
bin1001001000100111000…
…0101101000100000000
3120000001201121111000000
42102021300231010000
510032343044144421
6200032004000000
714223605401200
oct2221160550400
9500051544000
10156930068736
116060aa29391
12264b7690000
1311a4c23bc4c
147849d06400
1541371d3226
hex2489c2d100

156930068736 has 567 divisors, whose sum is σ = 550536679623. Its totient is φ = 44494894080.

The previous prime is 156930068717. The next prime is 156930068753. The reversal of 156930068736 is 637860039651.

The square root of 156930068736 is 396144.

It is a perfect power (a square), and thus also a powerful number.

156930068736 is a `hidden beast` number, since 1 + 569 + 3 + 0 + 0 + 6 + 8 + 73 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (567).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1197939391 + ... + 1197939521.

Almost surely, 2156930068736 is an apocalyptic number.

156930068736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

156930068736 is the 396144-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 156930068736

156930068736 is an abundant number, since it is smaller than the sum of its proper divisors (393606610887).

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

156930068736 is an frugal number, since it uses more digits than its factorization.

156930068736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 156930068736 in words is "one hundred fifty-six billion, nine hundred thirty million, sixty-eight thousand, seven hundred thirty-six".