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640312515304 = 2371143106322741
BaseRepresentation
bin10010101000101011001…
…10011001101011101000
32021012202110222000101121
421110111212121223220
540442330000442204
61210053331225024
764155353402110
oct11242546315350
92235673860347
10640312515304
112276117a3a50
12a411b448174
13484c56a0267
1422dc4162040
15119c8ed6b54
hex9515999ae8

640312515304 has 128 divisors (see below), whose sum is σ = 1533152839680. Its totient is φ = 243430790400.

The previous prime is 640312515277. The next prime is 640312515391. The reversal of 640312515304 is 403515213046.

It is a super-3 number, since 3×6403125153043 (a number of 36 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 640312515304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28145374 + ... + 28168114.

It is an arithmetic number, because the mean of its divisors is an integer number (11977756560).

Almost surely, 2640312515304 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 640312515304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766576419840).

640312515304 is an abundant number, since it is smaller than the sum of its proper divisors (892840324376).

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

640312515304 is a wasteful number, since it uses less digits than its factorization.

640312515304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23871 (or 23867 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The spelling of 640312515304 in words is "six hundred forty billion, three hundred twelve million, five hundred fifteen thousand, three hundred four".

Divisors: 1 2 4 7 8 11 14 22 28 43 44 56 77 86 88 154 172 301 308 344 473 602 616 946 1063 1204 1892 2126 2408 3311 3784 4252 6622 7441 8504 11693 13244 14882 22741 23386 26488 29764 45482 45709 46772 59528 81851 90964 91418 93544 159187 163702 181928 182836 250151 318374 319963 327404 365672 500302 502799 636748 639926 654808 977863 1000604 1005598 1273496 1279852 1751057 1955726 2001208 2011196 2559704 3502114 3519593 3911452 4022392 6845041 7004228 7039186 7822904 10756493 13690082 14008456 14078372 21512986 24173683 27380164 28156744 43025972 48347366 54760328 75295451 86051944 96694732 150590902 169215781 193389464 265910513 301181804 338431562 531821026 602363608 676863124 1039468369 1063642052 1353726248 1861373591 2078936738 2127284104 3722747182 4157873476 7276278583 7445494364 8315746952 11434152059 14552557166 14890988728 22868304118 29105114332 45736608236 58210228664 80039064413 91473216472 160078128826 320156257652 640312515304