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677039405696 = 2722733769143
BaseRepresentation
bin10011101101000101011…
…00010111101010000000
32101201120001002100121022
421312202230113222000
542043034041440241
61235005544045012
766625444665233
oct11664254275200
92351501070538
10677039405696
11241149104325
12ab26b163768
134bac95c6c74
1424aa9b5341a
151292847d54b
hex9da2b17a80

677039405696 has 64 divisors (see below), whose sum is σ = 1358770870080. Its totient is φ = 336023482368.

The previous prime is 677039405671. The next prime is 677039405839. The reversal of 677039405696 is 696504930776.

It is a tau number, because it is divible by the number of its divisors (64).

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, 9757301 + ... + 9826443.

It is an arithmetic number, because the mean of its divisors is an integer number (21230794845).

Almost surely, 2677039405696 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 677039405696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679385435040).

677039405696 is an abundant number, since it is smaller than the sum of its proper divisors (681731464384).

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

677039405696 is a wasteful number, since it uses less digits than its factorization.

677039405696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69721 (or 69709 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 62.

The spelling of 677039405696 in words is "six hundred seventy-seven billion, thirty-nine million, four hundred five thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 128 227 337 454 674 908 1348 1816 2696 3632 5392 7264 10784 14528 21568 29056 43136 69143 76499 138286 152998 276572 305996 553144 611992 1106288 1223984 2212576 2447968 4425152 4895936 8850304 9791872 15695461 23301191 31390922 46602382 62781844 93204764 125563688 186409528 251127376 372819056 502254752 745638112 1004509504 1491276224 2009019008 2982552448 5289370357 10578740714 21157481428 42314962856 84629925712 169259851424 338519702848 677039405696