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970017204240 = 24345747676791
BaseRepresentation
bin11100001110110011000…
…01111110100000010000
310102201210011111120220000
432013121201332200100
5111343043401013430
62021341511050000
7130036634123220
oct16073141764020
93381704446800
10970017204240
11344422472747
12137bb4970900
137061a648486
1434d403da080
151a3743d9e60
hexe1d987e810

970017204240 has 800 divisors, whose sum is σ = 3991499956224. Its totient is φ = 213730513920.

The previous prime is 970017204239. The next prime is 970017204281. The reversal of 970017204240 is 42402710079.

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 = 970017204195 and 970017204204.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 142835245 + ... + 142842035.

Almost surely, 2970017204240 is an apocalyptic number.

970017204240 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 970017204240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1995749978112).

970017204240 is an abundant number, since it is smaller than the sum of its proper divisors (3021482751984).

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

970017204240 is a wasteful number, since it uses less digits than its factorization.

970017204240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6937 (or 6922 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 970017204240 in words is "nine hundred seventy billion, seventeen million, two hundred four thousand, two hundred forty".