Search a number
-
+
9496600750080 = 211325319193617
BaseRepresentation
bin1000101000110001100110…
…0000111010100000000000
31020121212101102201202022200
42022030121200322200000
52221043014243000310
632110402252033200
72000051422333203
oct212143140724000
936555342652280
109496600750080
113031538602874
121094608462800
1353b6aa9b8182
1424b8d069593a
15117065ba49c0
hex8a31983a800

9496600750080 has 576 divisors, whose sum is σ = 34021611187200. Its totient is φ = 2447392112640.

The previous prime is 9496600750067. The next prime is 9496600750121. The reversal of 9496600750080 is 800570066949.

9496600750080 is a `hidden beast` number, since 9 + 496 + 6 + 0 + 0 + 75 + 0 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 9496600749999 and 9496600750026.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2625544432 + ... + 2625548048.

It is an arithmetic number, because the mean of its divisors is an integer number (59065297200).

Almost surely, 29496600750080 is an apocalyptic number.

9496600750080 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 9496600750080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17010805593600).

9496600750080 is an abundant number, since it is smaller than the sum of its proper divisors (24525010437120).

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

9496600750080 is a wasteful number, since it uses less digits than its factorization.

9496600750080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4600 (or 4577 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 9496600750080 in words is "nine trillion, four hundred ninety-six billion, six hundred million, seven hundred fifty thousand, eighty".