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157376494080 = 293451379739
BaseRepresentation
bin1001001010010001011…
…1101011101000000000
3120001012211122020110000
42102210113223220000
510034301340302310
6200144152240000
714240636061621
oct2224427535000
9501184566400
10157376494080
1160819a23353
12266010a0000
1311ac0886860
14788d313a48
1541614b74c0
hex24a45eba00

157376494080 has 800 divisors, whose sum is σ = 615548102400. Its totient is φ = 38196707328.

The previous prime is 157376494031. The next prime is 157376494103. The reversal of 157376494080 is 80494673751.

157376494080 is a `hidden beast` number, since 1 + 5 + 7 + 3 + 76 + 494 + 0 + 80 = 666.

It is a super-3 number, since 3×1573764940803 (a number of 35 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 212958351 + ... + 212959089.

It is an arithmetic number, because the mean of its divisors is an integer number (769435128).

Almost surely, 2157376494080 is an apocalyptic number.

157376494080 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 157376494080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307774051200).

157376494080 is an abundant number, since it is smaller than the sum of its proper divisors (458171608320).

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

157376494080 is an equidigital number, since it uses as much as digits as its factorization.

157376494080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 157376494080 in words is "one hundred fifty-seven billion, three hundred seventy-six million, four hundred ninety-four thousand, eighty".