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704376040704 = 2837238964007
BaseRepresentation
bin10100100000000000001…
…01010110110100000000
32111100010011210022001120
422100000011112310000
543020030231300304
61255330315032240
7101614044362460
oct12200005266400
92440104708046
10704376040704
112517a6a03866
12b461a13b680
1351564c6163b
1426140583ba0
15134c835c0d9
hexa400156d00

704376040704 has 288 divisors, whose sum is σ = 2260783042560. Its totient is φ = 190334386176.

The previous prime is 704376040679. The next prime is 704376040717. The reversal of 704376040704 is 407040673407.

It is a super-2 number, since 2×7043760407042 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 10972669 + ... + 11036675.

It is an arithmetic number, because the mean of its divisors is an integer number (7849941120).

Almost surely, 2704376040704 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 704376040704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130391521280).

704376040704 is an abundant number, since it is smaller than the sum of its proper divisors (1556407001856).

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

704376040704 is a wasteful number, since it uses less digits than its factorization.

704376040704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64145 (or 64131 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 42.

The spelling of 704376040704 in words is "seven hundred four billion, three hundred seventy-six million, forty thousand, seven hundred four".