Search a number
-
+
9996465302604 = 2234112793227669
BaseRepresentation
bin1001000101110111101111…
…0000110110110001001100
31022101122121212002000120000
42101131323300312301030
52302240230104140404
633132151320124300
72051135505043134
oct221357360666114
938348555060500
109996465302604
113204528068600
121155470006690
1357687ca60ac1
14267b8d8dbac4
1512506e980339
hex9177bc36c4c

9996465302604 has 180 divisors, whose sum is σ = 29088020253600. Its totient is φ = 2990886275520.

The previous prime is 9996465302599. The next prime is 9996465302627. The reversal of 9996465302604 is 4062035646999.

9996465302604 is a `hidden beast` number, since 9 + 9 + 96 + 4 + 6 + 530 + 2 + 6 + 0 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1483282 + ... + 4710950.

It is an arithmetic number, because the mean of its divisors is an integer number (161600112520).

Almost surely, 29996465302604 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 9996465302604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14544010126800).

9996465302604 is an abundant number, since it is smaller than the sum of its proper divisors (19091554950996).

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

9996465302604 is a wasteful number, since it uses less digits than its factorization.

9996465302604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3227786 (or 3227764 counting only the distinct ones).

The product of its (nonzero) digits is 75582720, while the sum is 63.

The spelling of 9996465302604 in words is "nine trillion, nine hundred ninety-six billion, four hundred sixty-five million, three hundred two thousand, six hundred four".