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5802215640 = 23351318120549
BaseRepresentation
bin1010110011101011…
…01100100011011000
3112222100220002112120
411121311230203120
543340331400030
62355425341240
7263533006404
oct53165544330
915870802476
105802215640
112508221541
12115b197820
137161090c0
143d0846104
1523e5ba010
hex159d6c8d8

5802215640 has 128 divisors (see below), whose sum is σ = 18850104000. Its totient is φ = 1420277760.

The previous prime is 5802215581. The next prime is 5802215663. The reversal of 5802215640 is 465122085.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 272086 + ... + 292634.

Almost surely, 25802215640 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 5802215640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9425052000).

5802215640 is an abundant number, since it is smaller than the sum of its proper divisors (13047888360).

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

5802215640 is a wasteful number, since it uses less digits than its factorization.

5802215640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20757 (or 20753 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 5802215640 is about 76172.2760589442. The cubic root of 5802215640 is about 1796.9305341738.

The spelling of 5802215640 in words is "five billion, eight hundred two million, two hundred fifteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 181 195 260 312 362 390 520 543 724 780 905 1086 1448 1560 1810 2172 2353 2715 3620 4344 4706 5430 7059 7240 9412 10860 11765 14118 18824 20549 21720 23530 28236 35295 41098 47060 56472 61647 70590 82196 94120 102745 123294 141180 164392 205490 246588 267137 282360 308235 410980 493176 534274 616470 801411 821960 1068548 1232940 1335685 1602822 2137096 2465880 2671370 3205644 3719369 4007055 5342740 6411288 7438738 8014110 10685480 11158107 14877476 16028220 18596845 22316214 29754952 32056440 37193690 44632428 48351797 55790535 74387380 89264856 96703594 111581070 145055391 148774760 193407188 223162140 241758985 290110782 386814376 446324280 483517970 580221564 725276955 967035940 1160443128 1450553910 1934071880 2901107820 5802215640