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6420839004 = 223317312101
BaseRepresentation
bin1011111101011011…
…00011101001011100
3121120110221102021000
411332231203221130
5101122213322004
62541044510300
7315054142146
oct57655435134
917513842230
106420839004
1127a543a418
1212b23ab390
137b4325628
1444ca79c96
15278a65c39
hex17eb63a5c

6420839004 has 96 divisors (see below), whose sum is σ = 17688283200. Its totient is φ = 2014214400.

The previous prime is 6420838981. The next prime is 6420839053. The reversal of 6420839004 is 4009380246.

It is a happy number.

6420839004 is a `hidden beast` number, since 64 + 208 + 390 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 6420839004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 524554 + ... + 536654.

It is an arithmetic number, because the mean of its divisors is an integer number (184252950).

Almost surely, 26420839004 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 6420839004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8844141600).

6420839004 is an abundant number, since it is smaller than the sum of its proper divisors (11267444196).

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

6420839004 is a wasteful number, since it uses less digits than its factorization.

6420839004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12165 (or 12123 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 6420839004 is about 80130.1379257518. The cubic root of 6420839004 is about 1858.6484770842.

The spelling of 6420839004 in words is "six billion, four hundred twenty million, eight hundred thirty-nine thousand, four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 289 306 459 578 612 867 918 1156 1734 1836 2601 3468 4913 5202 7803 9826 10404 12101 14739 15606 19652 24202 29478 31212 36303 44217 48404 58956 72606 88434 108909 132651 145212 176868 205717 217818 265302 326727 411434 435636 530604 617151 653454 822868 1234302 1306908 1851453 2468604 3497189 3702906 5554359 6994378 7405812 10491567 11108718 13988756 20983134 22217436 31474701 41966268 59452213 62949402 94424103 118904426 125898804 178356639 188848206 237808852 356713278 377696412 535069917 713426556 1070139834 1605209751 2140279668 3210419502 6420839004