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697940400137680 = 24572879432901057
BaseRepresentation
bin1001111010110001011110100…
…1100111111110010111010000
310101112012110011111201010222201
42132230113221213332113100
51212440023414413401210
610512221220554212544
7300003346515433660
oct23654275147762720
93345173144633881
10697940400137680
11192426952677677
1266341637a24154
1323c5966082048b
14c44c6d1d3a1a0
1555a507144b53a
hex27ac5e99fe5d0

697940400137680 has 80 divisors (see below), whose sum is σ = 1855171509995520. Its totient is φ = 239210733920256.

The previous prime is 697940400137677. The next prime is 697940400137681. The reversal of 697940400137680 is 86731004049796.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (697940400137681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214838289 + ... + 218062768.

It is an arithmetic number, because the mean of its divisors is an integer number (23189643874944).

Almost surely, 2697940400137680 is an apocalyptic number.

It is an amenable number.

697940400137680 is an abundant number, since it is smaller than the sum of its proper divisors (1157231109857840).

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

697940400137680 is a wasteful number, since it uses less digits than its factorization.

697940400137680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432903956 (or 432903950 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 64.

The spelling of 697940400137680 in words is "six hundred ninety-seven trillion, nine hundred forty billion, four hundred million, one hundred thirty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 2879 5758 11516 14395 20153 23032 28790 40306 46064 57580 80612 100765 115160 161224 201530 230320 322448 403060 806120 1612240 432901057 865802114 1731604228 2164505285 3030307399 3463208456 4329010570 6060614798 6926416912 8658021140 12121229596 15151536995 17316042280 24242459192 30303073990 34632084560 48484918384 60606147980 121212295960 242424591920 1246322143103 2492644286206 4985288572412 6231610715515 8724255001721 9970577144824 12463221431030 17448510003442 19941154289648 24926442862060 34897020006884 43621275008605 49852885724120 69794040013768 87242550017210 99705771448240 139588080027536 174485100034420 348970200068840 697940400137680