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678000686000876 = 22731781106781107
BaseRepresentation
bin1001101000101000110101011…
…0000010111110101011101100
310021220121020021112201210122222
42122022031112002332223230
51202331330401104012001
610401553114255254512
7262544635021660130
oct23212152602765354
93256536245653588
10678000686000876
11187039526895977
12640610a9b1a438
1323141262284c54
14bd5d5a05053c0
15535b548e8361b
hex268a3560beaec

678000686000876 has 24 divisors (see below), whose sum is σ = 1399743351745536. Its totient is φ = 281198441198160.

The previous prime is 678000686000863. The next prime is 678000686000927.

678000686000876 is nontrivially palindromic in base 10.

678000686000876 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 390553389686 + ... + 390553391421.

It is an arithmetic number, because the mean of its divisors is an integer number (58322639656064).

Almost surely, 2678000686000876 is an apocalyptic number.

It is an amenable number.

678000686000876 is an abundant number, since it is smaller than the sum of its proper divisors (721742665744660).

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

678000686000876 is a wasteful number, since it uses less digits than its factorization.

678000686000876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781106781149 (or 781106781147 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 62.

The spelling of 678000686000876 in words is "six hundred seventy-eight trillion, six hundred eighty-six million, eight hundred seventy-six", and thus it is an aban number.

Divisors: 1 2 4 7 14 28 31 62 124 217 434 868 781106781107 1562213562214 3124427124428 5467747467749 10935494935498 21870989870996 24214310214317 48428620428634 96857240857268 169500171500219 339000343000438 678000686000876