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9465125376 = 29372671877
BaseRepresentation
bin10001101000010101…
…00101101000000000
3220102122022012002010
420310022211220000
5123341033003001
64203114252520
7453361144500
oct106412455000
926378265063
109465125376
1140178a8873
121a01a27140
13b7ac44705
1465b0cda00
153a5e568d6
hex2342a5a00

9465125376 has 240 divisors, whose sum is σ = 29786191776. Its totient is φ = 2662539264.

The previous prime is 9465125317. The next prime is 9465125387. The reversal of 9465125376 is 6735215649.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5041750 + ... + 5043626.

Almost surely, 29465125376 is an apocalyptic number.

9465125376 is a gapful number since it is divisible by the number (96) 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 9465125376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14893095888).

9465125376 is an abundant number, since it is smaller than the sum of its proper divisors (20321066400).

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

9465125376 is a wasteful number, since it uses less digits than its factorization.

9465125376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1979 (or 1956 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 48.

The square root of 9465125376 is about 97288.8759108666. The cubic root of 9465125376 is about 2115.3169870669.

The spelling of 9465125376 in words is "nine billion, four hundred sixty-five million, one hundred twenty-five thousand, three hundred seventy-six".