Search a number
-
+
97902430560 = 2532511411271187
BaseRepresentation
bin101101100101101110…
…0001000100101100000
3100100200222200202220200
41123023130020211200
53101001010234220
6112550432505200
710034053633464
oct1331334104540
9310628622820
1097902430560
113857a408140
1216b833ab200
139303092cac
144a4a6484a4
152830002890
hex16cb708960

97902430560 has 576 divisors, whose sum is σ = 376610217984. Its totient is φ = 22953369600.

The previous prime is 97902430559. The next prime is 97902430579. The reversal of 97902430560 is 6503420979.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82478287 + ... + 82479473.

It is an arithmetic number, because the mean of its divisors is an integer number (653837184).

Almost surely, 297902430560 is an apocalyptic number.

97902430560 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 97902430560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188305108992).

97902430560 is an abundant number, since it is smaller than the sum of its proper divisors (278707787424).

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

97902430560 is a wasteful number, since it uses less digits than its factorization.

97902430560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1387 (or 1376 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 97902430560 in words is "ninety-seven billion, nine hundred two million, four hundred thirty thousand, five hundred sixty".