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97627413156 = 223713613374349
BaseRepresentation
bin101101011101100001…
…1000001101010100100
3100022222211012102221220
41122323003001222210
53044420104210111
6112503250140340
710024204214460
oct1327303015244
9308884172856
1097627413156
1138449147529
1216b072816b0
13928b1014c0
144a21cd94a0
152815ccae06
hex16bb0c1aa4

97627413156 has 192 divisors, whose sum is σ = 285873369600. Its totient is φ = 25244835840.

The previous prime is 97627413137. The next prime is 97627413313. The reversal of 97627413156 is 65131472679.

It is a super-2 number, since 2×976274131562 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 97627413099 and 97627413108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22446070 + ... + 22450418.

It is an arithmetic number, because the mean of its divisors is an integer number (1488923800).

Almost surely, 297627413156 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97627413156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142936684800).

97627413156 is an abundant number, since it is smaller than the sum of its proper divisors (188245956444).

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

97627413156 is a wasteful number, since it uses less digits than its factorization.

97627413156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4774 (or 4772 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 51.

The spelling of 97627413156 in words is "ninety-seven billion, six hundred twenty-seven million, four hundred thirteen thousand, one hundred fifty-six".