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6980903424 = 293211137723
BaseRepresentation
bin1101000000001100…
…00010001000000000
3200000111210122012200
412200012002020000
5103244102402144
63112412553200
7334664462055
oct64006021000
920014718180
106980903424
112a625a1080
121429a82800
1387337aab1
144a31c902c
152acce5c69
hex1a0182200

6980903424 has 120 divisors (see below), whose sum is σ = 21979097712. Its totient is φ = 2115409920.

The previous prime is 6980903401. The next prime is 6980903431. The reversal of 6980903424 is 4243090896.

6980903424 is a `hidden beast` number, since 69 + 80 + 90 + 3 + 424 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6980903424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18174 + ... + 119549.

Almost surely, 26980903424 is an apocalyptic number.

6980903424 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6980903424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10989548856).

6980903424 is an abundant number, since it is smaller than the sum of its proper divisors (14998194288).

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

6980903424 is a wasteful number, since it uses less digits than its factorization.

6980903424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137758 (or 137739 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 6980903424 is about 83551.8008423517. The cubic root of 6980903424 is about 1911.1900539391.

The spelling of 6980903424 in words is "six billion, nine hundred eighty million, nine hundred three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 1056 1152 1408 1536 1584 2112 2304 2816 3168 4224 4608 5632 6336 8448 12672 16896 25344 50688 137723 275446 413169 550892 826338 1101784 1239507 1514953 1652676 2203568 2479014 3029906 3305352 4407136 4544859 4958028 6059812 6610704 8814272 9089718 9916056 12119624 13221408 13634577 17628544 18179436 19832112 24239248 26442816 27269154 35257088 36358872 39664224 48478496 52885632 54538308 70514176 72717744 79328448 96956992 105771264 109076616 145435488 158656896 193913984 211542528 218153232 290870976 317313792 387827968 436306464 581741952 634627584 775655936 872612928 1163483904 1745225856 2326967808 3490451712 6980903424