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130393157376 = 2831723676481
BaseRepresentation
bin111100101110000001…
…0011010111100000000
3110110120022201201011010
41321130002122330000
54114021122014001
6135522441520520
712264156356526
oct1713402327400
9413508651133
10130393157376
11503325a1089
12213304a3140
13c3b048b731
14644d7ac316
1535d26248d6
hex1e5c09af00

130393157376 has 288 divisors, whose sum is σ = 389208734208. Its totient is φ = 38539100160.

The previous prime is 130393157371. The next prime is 130393157381. The reversal of 130393157376 is 673751393031.

It is an interprime number because it is at equal distance from previous prime (130393157371) and next prime (130393157381).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130393157371) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20116056 + ... + 20122536.

It is an arithmetic number, because the mean of its divisors is an integer number (1351419216).

Almost surely, 2130393157376 is an apocalyptic number.

130393157376 is a gapful number since it is divisible by the number (16) 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 130393157376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194604367104).

130393157376 is an abundant number, since it is smaller than the sum of its proper divisors (258815576832).

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

130393157376 is a wasteful number, since it uses less digits than its factorization.

130393157376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6607 (or 6593 counting only the distinct ones).

The product of its (nonzero) digits is 1071630, while the sum is 48.

The spelling of 130393157376 in words is "one hundred thirty billion, three hundred ninety-three million, one hundred fifty-seven thousand, three hundred seventy-six".