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157083870720 = 2935724110181
BaseRepresentation
bin1001001001001011101…
…1011010011000000000
3120000110110000102122210
42102102323122120000
510033201432330340
6200055140302120
714230453604400
oct2222273323000
9500413012583
10157083870720
1160689828067
122653b0a1940
1311a7506c53a
147862500800
154145964180
hex2492eda600

157083870720 has 480 divisors, whose sum is σ = 598472382816. Its totient is φ = 35025715200.

The previous prime is 157083870719. The next prime is 157083870721. The reversal of 157083870720 is 27078380751.

It is an interprime number because it is at equal distance from previous prime (157083870719) and next prime (157083870721).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 157083870720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157083870721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15424030 + ... + 15434210.

Almost surely, 2157083870720 is an apocalyptic number.

157083870720 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 157083870720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299236191408).

157083870720 is an abundant number, since it is smaller than the sum of its proper divisors (441388512096).

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

157083870720 is a wasteful number, since it uses less digits than its factorization.

157083870720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10262 (or 10239 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 48.

The spelling of 157083870720 in words is "one hundred fifty-seven billion, eighty-three million, eight hundred seventy thousand, seven hundred twenty".