Search a number
-
+
157927034880 = 212345313783
BaseRepresentation
bin1001001100010100101…
…1110101000000000000
3120002122012120121110000
42103011023311000000
510041413310104010
6200314540240000
714260402435056
oct2230513650000
9502565517400
10157927034880
1160a8176a84a
1226735540000
1311b7a956244
1479024a41d6
1541949b57c0
hex24c52f5000

157927034880 has 1040 divisors, whose sum is σ = 607416251904. Its totient is φ = 39176110080.

The previous prime is 157927034869. The next prime is 157927034891. The reversal of 157927034880 is 88430729751.

It is a happy number.

157927034880 is a `hidden beast` number, since 1 + 5 + 7 + 92 + 70 + 3 + 488 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (157927034869) and next prime (157927034891).

It is a super-2 number, since 2×1579270348802 (a number of 23 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1902735319 + ... + 1902735401.

Almost surely, 2157927034880 is an apocalyptic number.

157927034880 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 157927034880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303708125952).

157927034880 is an abundant number, since it is smaller than the sum of its proper divisors (449489217024).

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

157927034880 is an equidigital number, since it uses as much as digits as its factorization.

157927034880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 157927034880 in words is "one hundred fifty-seven billion, nine hundred twenty-seven million, thirty-four thousand, eight hundred eighty".