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5763436380 = 22325138113037
BaseRepresentation
bin1010101111000011…
…10000111101011100
3112212122220220101200
411113201300331130
543300414431010
62351522235500
7262552254342
oct52741607534
915778826350
105763436380
112498345069
12114a1b5b90
1370b07c0b0
143c962d992
1523aea9cc0
hex157870f5c

5763436380 has 144 divisors (see below), whose sum is σ = 18856647264. Its totient is φ = 1416476160.

The previous prime is 5763436361. The next prime is 5763436409. The reversal of 5763436380 is 836343675.

5763436380 is a `hidden beast` number, since 5 + 7 + 6 + 3 + 4 + 3 + 638 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1896222 + ... + 1899258.

Almost surely, 25763436380 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 5763436380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9428323632).

5763436380 is an abundant number, since it is smaller than the sum of its proper divisors (13093210884).

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

5763436380 is a wasteful number, since it uses less digits than its factorization.

5763436380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3876 (or 3871 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The square root of 5763436380 is about 75917.2996095093. The cubic root of 5763436380 is about 1792.9183048308.

The spelling of 5763436380 in words is "five billion, seven hundred sixty-three million, four hundred thirty-six thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 811 1170 1622 2340 2433 3037 3244 4055 4866 6074 7299 8110 9111 9732 10543 12148 12165 14598 15185 16220 18222 21086 24330 27333 29196 30370 31629 36444 36495 39481 42172 45555 48660 52715 54666 60740 63258 72990 78962 91110 94887 105430 109332 118443 126516 136665 145980 157924 158145 182220 189774 197405 210860 236886 273330 316290 355329 379548 394810 473772 474435 546660 592215 632580 710658 789620 948870 1184430 1421316 1776645 1897740 2368860 2463007 3553290 4926014 7106580 7389021 9852028 12315035 14778042 22167063 24630070 29556084 32019091 36945105 44334126 49260140 64038182 73890210 88668252 96057273 110835315 128076364 147780420 160095455 192114546 221670630 288171819 320190910 384229092 443341260 480286365 576343638 640381820 960572730 1152687276 1440859095 1921145460 2881718190 5763436380