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5694415104 = 28375092081
BaseRepresentation
bin1010100110110100…
…11110000100000000
3112200212001021000010
411103122132010000
543130232240404
62341015024520
7261053505210
oct52332360400
915625037003
105694415104
112462392394
12112b06b140
136c9993bc1
143c03c4240
15234dc4189
hex15369e100

5694415104 has 144 divisors (see below), whose sum is σ = 17362880640. Its totient is φ = 1622999040.

The previous prime is 5694415043. The next prime is 5694415127. The reversal of 5694415104 is 4015144965.

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, 2735344 + ... + 2737424.

It is an arithmetic number, because the mean of its divisors is an integer number (120575560).

Almost surely, 25694415104 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 5694415104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8681440320).

5694415104 is an abundant number, since it is smaller than the sum of its proper divisors (11668465536).

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

5694415104 is a wasteful number, since it uses less digits than its factorization.

5694415104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2616 (or 2602 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 5694415104 is about 75461.3484109580. The cubic root of 5694415104 is about 1785.7323824976.

The spelling of 5694415104 in words is "five billion, six hundred ninety-four million, four hundred fifteen thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 509 672 768 896 1018 1344 1527 1792 2036 2081 2688 3054 3563 4072 4162 5376 6108 6243 7126 8144 8324 10689 12216 12486 14252 14567 16288 16648 21378 24432 24972 28504 29134 32576 33296 42756 43701 48864 49944 57008 58268 65152 66592 85512 87402 97728 99888 114016 116536 130304 133184 171024 174804 195456 199776 228032 233072 266368 342048 349608 390912 399552 456064 466144 532736 684096 699216 799104 912128 932288 1059229 1368192 1398432 1598208 1864576 2118458 2736384 2796864 3177687 3729152 4236916 5593728 6355374 7414603 8473832 11187456 12710748 14829206 16947664 22243809 25421496 29658412 33895328 44487618 50842992 59316824 67790656 88975236 101685984 118633648 135581312 177950472 203371968 237267296 271162624 355900944 406743936 474534592 711801888 813487872 949069184 1423603776 1898138368 2847207552 5694415104