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156893397120 = 2736517131151
BaseRepresentation
bin1001001000011110010…
…0110100000010000000
3112222222011121101000000
42102013210310002000
510032304202201440
6200024214000000
714222651604645
oct2220744640200
9488864541000
10156893397120
11605a1261469
12264a7346000
1311a4476c375
1478450bbdcc
154133d8c730
hex2487934080

156893397120 has 896 divisors, whose sum is σ = 603950878080. Its totient is φ = 38817792000.

The previous prime is 156893397109. The next prime is 156893397131. The reversal of 156893397120 is 21793398651.

156893397120 is a `hidden beast` number, since 1 + 56 + 89 + 3 + 397 + 120 = 666.

156893397120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (156893397109) and next prime (156893397131).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1039029045 + ... + 1039029195.

Almost surely, 2156893397120 is an apocalyptic number.

156893397120 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 156893397120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301975439040).

156893397120 is an abundant number, since it is smaller than the sum of its proper divisors (447057480960).

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

156893397120 is a wasteful number, since it uses less digits than its factorization.

156893397120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 156893397120 in words is "one hundred fifty-six billion, eight hundred ninety-three million, three hundred ninety-seven thousand, one hundred twenty".