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97156620288 = 213347131609
BaseRepresentation
bin101101001111011111…
…1000110000000000000
3100021210000022200120000
41122132333012000000
53042434043322123
6112344431320000
710006426434510
oct1323677060000
9307700280500
1097156620288
1138227419912
12169b5680000
139214704540
1449b9587840
1527d97d1b43
hex169efc6000

97156620288 has 560 divisors, whose sum is σ = 357456089760. Its totient is φ = 25607798784.

The previous prime is 97156620271. The next prime is 97156620293. The reversal of 97156620288 is 88202665179.

97156620288 is a `hidden beast` number, since 9 + 7 + 1 + 5 + 6 + 620 + 2 + 8 + 8 = 666.

It is a super-2 number, since 2×971566202882 (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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 60382428 + ... + 60384036.

It is an arithmetic number, because the mean of its divisors is an integer number (638314446).

Almost surely, 297156620288 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 97156620288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178728044880).

97156620288 is an abundant number, since it is smaller than the sum of its proper divisors (260299469472).

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

97156620288 is a wasteful number, since it uses less digits than its factorization.

97156620288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1667 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 97156620288 in words is "ninety-seven billion, one hundred fifty-six million, six hundred twenty thousand, two hundred eighty-eight".