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5699042064 = 24382332
BaseRepresentation
bin1010100111011000…
…00111101100010000
3112201011202100000000
411103230013230100
543132423321224
62341302130000
7261141025662
oct52354075420
915634670000
105699042064
112464a62721
121130720900
136ca923c51
143c0c6a532
152354da0c9
hex153b07b10

5699042064 has 135 divisors (see below), whose sum is σ = 16633386133. Its totient is φ = 1891527552.

The previous prime is 5699042053. The next prime is 5699042087. The reversal of 5699042064 is 4602409965.

The square root of 5699042064 is 75492.

It is a perfect power (a square), and thus also a powerful number.

5699042064 is a `hidden beast` number, since 569 + 9 + 0 + 4 + 20 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1157360400 + 4541681664 = 34020^2 + 67392^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 24459292 + ... + 24459524.

Almost surely, 25699042064 is an apocalyptic number.

5699042064 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

5699042064 is the 75492-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5699042064

5699042064 is an abundant number, since it is smaller than the sum of its proper divisors (10934344069).

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

5699042064 is an frugal number, since it uses more digits than its factorization.

5699042064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The cubic root of 5699042064 is about 1786.2159133069.

The spelling of 5699042064 in words is "five billion, six hundred ninety-nine million, forty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 233 243 324 432 466 486 648 699 729 932 972 1296 1398 1458 1864 1944 2097 2187 2796 2916 3728 3888 4194 4374 5592 5832 6291 6561 8388 8748 11184 11664 12582 13122 16776 17496 18873 25164 26244 33552 34992 37746 50328 52488 54289 56619 75492 100656 104976 108578 113238 150984 162867 169857 217156 226476 301968 325734 339714 434312 452952 488601 509571 651468 679428 868624 905904 977202 1019142 1302936 1358856 1465803 1528713 1954404 2038284 2605872 2717712 2931606 3057426 3908808 4076568 4397409 5863212 6114852 7817616 8153136 8794818 11726424 12229704 13192227 17589636 23452848 24459408 26384454 35179272 39576681 52768908 70358544 79153362 105537816 118730043 158306724 211075632 237460086 316613448 356190129 474920172 633226896 712380258 949840344 1424760516 1899680688 2849521032 5699042064