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1682388864 = 273213112339
BaseRepresentation
bin110010001000111…
…0011011110000000
311100020201012122200
41210101303132000
511421142420424
6434535233200
756456032542
oct14421633600
94306635580
101682388864
11793734722
123ab518800
1320a721590
1411d61d692
159ca758c9
hex64473780

1682388864 has 96 divisors (see below), whose sum is σ = 5213699400. Its totient is φ = 517653504.

The previous prime is 1682388859. The next prime is 1682388899. The reversal of 1682388864 is 4688832861.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×16823888642 = 5660864579422420992, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1682388864.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41194 + ... + 71145.

Almost surely, 21682388864 is an apocalyptic number.

It is an amenable number.

1682388864 is an abundant number, since it is smaller than the sum of its proper divisors (3531310536).

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

1682388864 is a wasteful number, since it uses less digits than its factorization.

1682388864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112372 (or 112357 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The square root of 1682388864 is about 41016.9338688303. The cubic root of 1682388864 is about 1189.3475848512.

The spelling of 1682388864 in words is "one billion, six hundred eighty-two million, three hundred eighty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 832 936 1152 1248 1664 1872 2496 3744 4992 7488 14976 112339 224678 337017 449356 674034 898712 1011051 1348068 1460407 1797424 2022102 2696136 2920814 3594848 4044204 4381221 5392272 5841628 7189696 8088408 8762442 10784544 11683256 13143663 14379392 16176816 17524884 21569088 23366512 26287326 32353632 35049768 43138176 46733024 52574652 64707264 70099536 93466048 105149304 129414528 140199072 186932096 210298608 280398144 420597216 560796288 841194432 1682388864