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156936942000 = 24325331281249
BaseRepresentation
bin1001001000101000101…
…0111011000110110000
3120000002012112200100100
42102022022323012300
510032401324121000
6200032411152400
714224020665646
oct2221212730660
9500065480310
10156936942000
11606138a3373
12264b9a45700
1311a507a7577
14784abb5196
154137adea00
hex248a2bb1b0

156936942000 has 240 divisors, whose sum is σ = 565812000000. Its totient is φ = 40499712000.

The previous prime is 156936941989. The next prime is 156936942017. The reversal of 156936942000 is 249639651.

156936942000 is a `hidden beast` number, since 1 + 569 + 3 + 69 + 4 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1569369420002 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 417376 + ... + 698624.

It is an arithmetic number, because the mean of its divisors is an integer number (2357550000).

Almost surely, 2156936942000 is an apocalyptic number.

156936942000 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 156936942000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282906000000).

156936942000 is an abundant number, since it is smaller than the sum of its proper divisors (408875058000).

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

156936942000 is a wasteful number, since it uses less digits than its factorization.

156936942000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281309 (or 281290 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 156936942000 in words is "one hundred fifty-six billion, nine hundred thirty-six million, nine hundred forty-two thousand".