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5333654640 = 2435432572011
BaseRepresentation
bin1001111011110100…
…10001110001110000
3111202201012201200110
410331322101301300
541410403422030
62241130421320
7246113213346
oct47572216160
914681181613
105333654640
112297788746
12104a291840
13670010c82
14388515996
152133b21b0
hex13de91c70

5333654640 has 160 divisors (see below), whose sum is σ = 16993126656. Its totient is φ = 1383137280.

The previous prime is 5333654603. The next prime is 5333654659. The reversal of 5333654640 is 464563335.

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, 2651235 + ... + 2653245.

Almost surely, 25333654640 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 5333654640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8496563328).

5333654640 is an abundant number, since it is smaller than the sum of its proper divisors (11659472016).

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

5333654640 is a wasteful number, since it uses less digits than its factorization.

5333654640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2327 (or 2321 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 39.

The square root of 5333654640 is about 73031.8741372560. The cubic root of 5333654640 is about 1747.1960146714.

The spelling of 5333654640 in words is "five billion, three hundred thirty-three million, six hundred fifty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 240 257 258 344 430 514 516 645 688 771 860 1028 1032 1285 1290 1542 1720 2011 2056 2064 2570 2580 3084 3440 3855 4022 4112 5140 5160 6033 6168 7710 8044 10055 10280 10320 11051 12066 12336 15420 16088 20110 20560 22102 24132 30165 30840 32176 33153 40220 44204 48264 55255 60330 61680 66306 80440 86473 88408 96528 110510 120660 132612 160880 165765 172946 176816 221020 241320 259419 265224 331530 345892 432365 442040 482640 516827 518838 530448 663060 691784 864730 884080 1033654 1037676 1297095 1326120 1383568 1550481 1729460 2067308 2075352 2584135 2594190 2652240 3100962 3458920 4134616 4150704 5168270 5188380 6201924 6917840 7752405 8269232 10336540 10376760 12403848 15504810 20673080 20753520 22223561 24807696 31009620 41346160 44447122 62019240 66670683 88894244 111117805 124038480 133341366 177788488 222235610 266682732 333353415 355576976 444471220 533365464 666706830 888942440 1066730928 1333413660 1777884880 2666827320 5333654640