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690047759616 = 28327110633119
BaseRepresentation
bin10100000101010100000…
…11010011010100000000
32102222010121121012111020
422002222003103110000
542301204211301431
61245000434145440
7100566012115305
oct12025203232400
92388117535436
10690047759616
11246713a75146
12b189b722280
13500c06321c7
14255816550ac
1512e3a4d0696
hexa0aa0d3500

690047759616 has 144 divisors (see below), whose sum is σ = 1845635850240. Its totient is φ = 228878161920.

The previous prime is 690047759581. The next prime is 690047759623. The reversal of 690047759616 is 616957740096.

It is a self number, because there is not a number n which added to its sum of digits gives 690047759616.

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 15 ways as a sum of consecutive naturals, for example, 221238505 + ... + 221241623.

Almost surely, 2690047759616 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 690047759616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922817925120).

690047759616 is an abundant number, since it is smaller than the sum of its proper divisors (1155588090624).

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

690047759616 is a wasteful number, since it uses less digits than its factorization.

690047759616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4472 (or 4458 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 60.

The spelling of 690047759616 in words is "six hundred ninety billion, forty-seven million, seven hundred fifty-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 271 384 542 768 813 1063 1084 1626 2126 2168 3119 3189 3252 4252 4336 6238 6378 6504 8504 8672 9357 12476 12756 13008 17008 17344 18714 24952 25512 26016 34016 34688 37428 49904 51024 52032 68032 69376 74856 99808 102048 104064 136064 149712 199616 204096 208128 272128 288073 299424 399232 408192 576146 598848 798464 816384 845249 864219 1152292 1197696 1690498 1728438 2304584 2395392 2535747 3315497 3380996 3456876 4609168 5071494 6630994 6761992 6913752 9218336 9946491 10142988 13261988 13523984 13827504 18436672 19892982 20285976 26523976 27047968 27655008 36873344 39785964 40571952 53047952 54095936 55310016 73746688 79571928 81143904 106095904 108191872 110620032 159143856 162287808 212191808 216383744 221240064 318287712 324575616 424383616 636575424 649151232 848767232 898499687 1273150848 1796999374 2546301696 2695499061 3593998748 5390998122 7187997496 10781996244 14375994992 21563992488 28751989984 43127984976 57503979968 86255969952 115007959936 172511939904 230015919872 345023879808 690047759616