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21700460704 = 2513793172083
BaseRepresentation
bin10100001101011100…
…101100000010100000
32002000100020121210211
4110031130230002200
5323420304220304
613545152103504
71365520605166
oct241534540240
962010217724
1021700460704
11922638734a
124257534b94
13207aa85ac0
14109c08b236
158701b1204
hex50d72c0a0

21700460704 has 96 divisors (see below), whose sum is σ = 46760958720. Its totient is φ = 9852890112.

The previous prime is 21700460699. The next prime is 21700460723. The reversal of 21700460704 is 40706400712.

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, 10416847 + ... + 10418929.

It is an arithmetic number, because the mean of its divisors is an integer number (487093320).

Almost surely, 221700460704 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 21700460704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23380479360).

21700460704 is an abundant number, since it is smaller than the sum of its proper divisors (25060498016).

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

21700460704 is a wasteful number, since it uses less digits than its factorization.

21700460704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2502 (or 2494 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 31.

The spelling of 21700460704 in words is "twenty-one billion, seven hundred million, four hundred sixty thousand, seven hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 79 104 158 208 316 317 416 632 634 1027 1264 1268 2054 2083 2528 2536 4108 4121 4166 5072 8216 8242 8332 10144 16432 16484 16664 25043 27079 32864 32968 33328 50086 54158 65936 66656 100172 108316 131872 164557 200344 216632 325559 329114 400688 433264 651118 658228 660311 801376 866528 1302236 1316456 1320622 2139241 2604472 2632912 2641244 4278482 5208944 5265824 5282488 8556964 8584043 10417888 10564976 17113928 17168086 21129952 34227856 34336172 52164569 68455712 68672344 104329138 137344688 208658276 274689376 417316552 678139397 834633104 1356278794 1669266208 2712557588 5425115176 10850230352 21700460704