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5679256704 = 273112275923
BaseRepresentation
bin1010100101000001…
…01001010010000000
3112122210112010120220
411102200221102000
543112342203304
62335314103040
7260510612502
oct52240512200
915583463526
105679256704
112454879690
121125b7aa80
136c67b7434
143bc399d72
152338ccad9
hex152829480

5679256704 has 128 divisors (see below), whose sum is σ = 16532225280. Its totient is φ = 1713116160.

The previous prime is 5679256663. The next prime is 5679256721. The reversal of 5679256704 is 4076529765.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 955887 + ... + 961809.

It is an arithmetic number, because the mean of its divisors is an integer number (129158010).

Almost surely, 25679256704 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 5679256704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8266112640).

5679256704 is an abundant number, since it is smaller than the sum of its proper divisors (10852968576).

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

5679256704 is a wasteful number, since it uses less digits than its factorization.

5679256704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6178 (or 6166 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 51.

The square root of 5679256704 is about 75360.8433073834. The cubic root of 5679256704 is about 1784.1464484602.

The spelling of 5679256704 in words is "five billion, six hundred seventy-nine million, two hundred fifty-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 227 264 352 384 454 528 681 704 908 1056 1362 1408 1816 2112 2497 2724 3632 4224 4994 5448 5923 7264 7491 9988 10896 11846 14528 14982 17769 19976 21792 23692 29056 29964 35538 39952 43584 47384 59928 65153 71076 79904 87168 94768 119856 130306 142152 159808 189536 195459 239712 260612 284304 319616 379072 390918 479424 521224 568608 758144 781836 958848 1042448 1137216 1344521 1563672 2084896 2274432 2689042 3127344 4033563 4169792 5378084 6254688 8067126 8339584 10756168 12509376 14789731 16134252 21512336 25018752 29579462 32268504 43024672 44369193 59158924 64537008 86049344 88738386 118317848 129074016 172098688 177476772 236635696 258148032 354953544 473271392 516296064 709907088 946542784 1419814176 1893085568 2839628352 5679256704