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804103925040 = 2432513436729819
BaseRepresentation
bin10111011001110000101…
…01000010110100110000
32211212112101101201210100
423230320111002310300
5101133301101100130
61413222241432400
7112044305406033
oct13547025026460
92755471351710
10804103925040
11290022780389
1210ba1093b700
135aa992872a0
142acc140d01a
1515db3744c60
hexbb38542d30

804103925040 has 480 divisors, whose sum is σ = 3020324186880. Its totient is φ = 190438262784.

The previous prime is 804103925039. The next prime is 804103925041. The reversal of 804103925040 is 40529301408.

804103925040 is a `hidden beast` number, since 80 + 41 + 0 + 39 + 2 + 504 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (804103925039) and next prime (804103925041).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 804103924986 and 804103925004.

It is not an unprimeable number, because it can be changed into a prime (804103925041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26951251 + ... + 26981069.

It is an arithmetic number, because the mean of its divisors is an integer number (6292342056).

Almost surely, 2804103925040 is an apocalyptic number.

804103925040 is a gapful number since it is divisible by the number (80) 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 804103925040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510162093440).

804103925040 is an abundant number, since it is smaller than the sum of its proper divisors (2216220261840).

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

804103925040 is a wasteful number, since it uses less digits than its factorization.

804103925040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29961 (or 29952 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 804103925040 in words is "eight hundred four billion, one hundred three million, nine hundred twenty-five thousand, forty".