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5363808768 = 2933587661
BaseRepresentation
bin1001111111011010…
…10011101000000000
3111211210221201101000
410333231103220000
541441113340033
62244125012000
7246630423303
oct47755235000
914753851330
105363808768
112302803a0a
1210583b4000
1367633b156
1438c524b3a
15215d6ba13
hex13fb53a00

5363808768 has 160 divisors (see below), whose sum is σ = 15928355520. Its totient is φ = 1782190080.

The previous prime is 5363808763. The next prime is 5363808841. The reversal of 5363808768 is 8678083635.

It is a happy number.

5363808768 is a `hidden beast` number, since 536 + 38 + 0 + 8 + 76 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5363808763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8114358 + ... + 8115018.

It is an arithmetic number, because the mean of its divisors is an integer number (99552222).

Almost surely, 25363808768 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 5363808768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7964177760).

5363808768 is an abundant number, since it is smaller than the sum of its proper divisors (10564546752).

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

5363808768 is an equidigital number, since it uses as much as digits as its factorization.

5363808768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The square root of 5363808768 is about 73238.0281547776. The cubic root of 5363808768 is about 1750.4824539742.

The spelling of 5363808768 in words is "five billion, three hundred sixty-three million, eight hundred eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 587 661 768 864 1152 1174 1322 1536 1728 1761 1983 2304 2348 2644 3456 3522 3966 4608 4696 5283 5288 5949 6912 7044 7932 9392 10566 10576 11898 13824 14088 15849 15864 17847 18784 21132 21152 23796 28176 31698 31728 35694 37568 42264 42304 47592 56352 63396 63456 71388 75136 84528 84608 95184 112704 126792 126912 142776 150272 169056 169216 190368 225408 253584 253824 285552 300544 338112 338432 380736 388007 450816 507168 507648 571104 676224 761472 776014 901632 1014336 1015296 1142208 1164021 1352448 1522944 1552028 2028672 2284416 2328042 2704896 3045888 3104056 3492063 4057344 4568832 4656084 6208112 6984126 8114688 9137664 9312168 10476189 12416224 13968252 18624336 20952378 24832448 27936504 37248672 41904756 49664896 55873008 74497344 83809512 99329792 111746016 148994688 167619024 198659584 223492032 297989376 335238048 446984064 595978752 670476096 893968128 1340952192 1787936256 2681904384 5363808768