Search a number
-
+
97483018894560 = 25335136189319729
BaseRepresentation
bin10110001010100100001000…
…101101100111110011100000
3110210011021201012022102122000
4112022210020231213303200
5100234130210314111220
6543155025230244000
726350626040556505
oct2612441055476340
9423137635272560
1097483018894560
1129074352875062
12ab24a41956600
1342517bc657930
141a102bbb7b4ac
15b40b54eba390
hex58a908b67ce0

97483018894560 has 768 divisors, whose sum is σ = 377656890912000. Its totient is φ = 23337176924160.

The previous prime is 97483018894489. The next prime is 97483018894627. The reversal of 97483018894560 is 6549881038479.

97483018894560 is a `hidden beast` number, since 9 + 7 + 4 + 83 + 0 + 18 + 89 + 456 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 304732776 + ... + 305052504.

It is an arithmetic number, because the mean of its divisors is an integer number (491740743375).

Almost surely, 297483018894560 is an apocalyptic number.

97483018894560 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 97483018894560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188828445456000).

97483018894560 is an abundant number, since it is smaller than the sum of its proper divisors (280173872017440).

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

97483018894560 is a wasteful number, since it uses less digits than its factorization.

97483018894560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319916 (or 319902 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 97483018894560 in words is "ninety-seven trillion, four hundred eighty-three billion, eighteen million, eight hundred ninety-four thousand, five hundred sixty".