Search a number
-
+
3357053821696 = 28179269272341
BaseRepresentation
bin110000110110100000000…
…000000010001100000000
3102212221010212000202002111
4300312200000002030000
5420000221234243241
611050113110025104
7464352631444141
oct60664000021400
912787125022074
103357053821696
11108479a400733
12462752648194
131b47518ca203
14b86a74d5ac8
155c4d0b93c81
hex30da0002300

3357053821696 has 72 divisors (see below), whose sum is σ = 6763504633200. Its totient is φ = 1662938542080.

The previous prime is 3357053821657. The next prime is 3357053821733. The reversal of 3357053821696 is 6961283507533.

It is a super-2 number, since 2×33570538216962 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3357053821696.

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, 12190486 + ... + 12462826.

It is an arithmetic number, because the mean of its divisors is an integer number (93937564350).

Almost surely, 23357053821696 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 3357053821696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3381752316600).

3357053821696 is an abundant number, since it is smaller than the sum of its proper divisors (3406450811504).

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

3357053821696 is a wasteful number, since it uses less digits than its factorization.

3357053821696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272805 (or 272791 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 58.

The spelling of 3357053821696 in words is "three trillion, three hundred fifty-seven billion, fifty-three million, eight hundred twenty-one thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 128 179 256 269 358 538 716 1076 1432 2152 2864 4304 5728 8608 11456 17216 22912 34432 45824 48151 68864 96302 192604 272341 385208 544682 770416 1089364 1540832 2178728 3081664 4357456 6163328 8714912 12326656 17429824 34859648 48749039 69719296 73259729 97498078 146519458 194996156 293038916 389992312 586077832 779984624 1172155664 1559969248 2344311328 3119938496 4688622656 6239876992 9377245312 12479753984 13113491491 18754490624 26226982982 52453965964 104907931928 209815863856 419631727712 839263455424 1678526910848 3357053821696