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697074290640 = 243657131931223
BaseRepresentation
bin10100010010011001101…
…11011000111111010000
32110122021022020222000000
422021030313120333100
542410102004300030
61252122001130000
7101235102464430
oct12111467307720
92418238228000
10697074290640
1124969a29a982
12b3120929900
1350970297180
1425a4a91a2c0
15131ec2da860
hexa24cdd8fd0

697074290640 has 2240 divisors, whose sum is σ = 3264217743360. Its totient is φ = 134234910720.

The previous prime is 697074290639. The next prime is 697074290651. The reversal of 697074290640 is 46092470796.

It is a happy number.

697074290640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×6970742906404 (a number of 48 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 3125893569 + ... + 3125893791.

It is an arithmetic number, because the mean of its divisors is an integer number (1457240064).

Almost surely, 2697074290640 is an apocalyptic number.

697074290640 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 697074290640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632108871680).

697074290640 is an abundant number, since it is smaller than the sum of its proper divisors (2567143452720).

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

697074290640 is a wasteful number, since it uses less digits than its factorization.

697074290640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 697074290640 in words is "six hundred ninety-seven billion, seventy-four million, two hundred ninety thousand, six hundred forty".