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679790496425040 = 24 ⋅ 33 ⋅ 5 ⋅ 7 ⋅ 112 ⋅ 13 ⋅ 83 ⋅ 344363
BaseRepresentation
bin1001101010010001000000111…
……1000011111010010001010000
310022010221100002111210212212000
42122210100033003322101100
51203100141414041100130
610405443235352234000
7263121146134366050
oct23244201703722120
93263840074725760
10679790496425040
11187669592148400
12642abb5199b900
1323240c79465330
14bdc206d8c3560
15538cd9e183260
hex26a440f0fa450

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(max 15 digits)

679790496425040 has 1920 divisors, whose sum is σ = 3205823654154240. Its totient is φ = 128818055393280.

The previous prime is 679790496425021. The next prime is 679790496425041. The reversal of 679790496425040 is 40524694097976.

It is a happy number.

679790496425040 is a `hidden beast` number, since 6 + 7 + 9 + 7 + 9 + 0 + 496 + 42 + 50 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 679790496425040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (679790496425041) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1973879899 + ... + 1974224261.

It is an arithmetic number, because the mean of its divisors is an integer number (1669699819872).

Almost surely, 2679790496425040 is an apocalyptic number.

679790496425040 is a gapful number since it is divisible by the number (60) 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 679790496425040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1602911827077120).

679790496425040 is an abundant number, since it is smaller than the sum of its proper divisors (2526033157729200).

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

679790496425040 is a wasteful number, since it uses less digits than its factorization.

679790496425040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344510 (or 344487 counting only the distinct ones).

The product of its (nonzero) digits is 823011840, while the sum is 72.

The spelling of 679790496425040 in words is "six hundred seventy-nine trillion, seven hundred ninety billion, four hundred ninety-six million, four hundred twenty-five thousand, forty".