Search a number
-
+
97157305980 = 223357194992711
BaseRepresentation
bin101101001111100000…
…1101101011001111100
3100021210001121112011000
41122133001231121330
53042434232242410
6112344454130300
710006435321560
oct1323701553174
9307701545130
1097157305980
1138227847aa9
12169b5950990
1392148b4687
1449b96c56a0
1527d98b9dc0
hex169f06d67c

97157305980 has 384 divisors, whose sum is σ = 364492800000. Its totient is φ = 20988668160.

The previous prime is 97157305957. The next prime is 97157306009. The reversal of 97157305980 is 8950375179.

97157305980 is a `hidden beast` number, since 9 + 7 + 15 + 7 + 30 + 598 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 35836825 + ... + 35839535.

It is an arithmetic number, because the mean of its divisors is an integer number (949200000).

Almost surely, 297157305980 is an apocalyptic number.

97157305980 is a gapful number since it is divisible by the number (90) 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 97157305980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182246400000).

97157305980 is an abundant number, since it is smaller than the sum of its proper divisors (267335494020).

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

97157305980 is a wasteful number, since it uses less digits than its factorization.

97157305980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3254 (or 3246 counting only the distinct ones).

The product of its (nonzero) digits is 2381400, while the sum is 54.

The spelling of 97157305980 in words is "ninety-seven billion, one hundred fifty-seven million, three hundred five thousand, nine hundred eighty".