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156423294720 = 28335711431367
BaseRepresentation
bin1001000110101110001…
…1100000111100000000
3112221202102000200202000
42101223203200330000
510030323330412340
6155505422024000
714205213032010
oct2215343407400
9487672020660
10156423294720
116037a965590
1226395a18000
131199b254774
1477dc8a9c40
15410797cd30
hex246b8e0f00

156423294720 has 1152 divisors, whose sum is σ = 708666900480. Its totient is φ = 31724421120.

The previous prime is 156423294691. The next prime is 156423294737. The reversal of 156423294720 is 27492324651.

156423294720 is a `hidden beast` number, since 1 + 564 + 2 + 3 + 29 + 47 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 114427477 + ... + 114428843.

It is an arithmetic number, because the mean of its divisors is an integer number (615162240).

Almost surely, 2156423294720 is an apocalyptic number.

156423294720 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 156423294720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354333450240).

156423294720 is an abundant number, since it is smaller than the sum of its proper divisors (552243605760).

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

156423294720 is a wasteful number, since it uses less digits than its factorization.

156423294720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1458 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 156423294720 in words is "one hundred fifty-six billion, four hundred twenty-three million, two hundred ninety-four thousand, seven hundred twenty".