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5363407104 = 283111274999
BaseRepresentation
bin1001111111010111…
…10001100100000000
3111211210012022101120
410333223301210000
541441013011404
62244112232240
7246624131256
oct47753614400
914753168346
105363407104
11230255a160
12105823b680
1367622a393
1438c45c5d6
15215cdc9d9
hex13faf1900

5363407104 has 144 divisors (see below), whose sum is σ = 15697920000. Its totient is φ = 1612154880.

The previous prime is 5363407097. The next prime is 5363407121. The reversal of 5363407104 is 4017043635.

It is a super-2 number, since 2×53634071042 = 57532271526475333632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1070397 + ... + 1075395.

Almost surely, 25363407104 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 5363407104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7848960000).

5363407104 is an abundant number, since it is smaller than the sum of its proper divisors (10334512896).

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

5363407104 is a wasteful number, since it uses less digits than its factorization.

5363407104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5156 (or 5142 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 5363407104 is about 73235.2859214737. The cubic root of 5363407104 is about 1750.4387584483.

The spelling of 5363407104 in words is "five billion, three hundred sixty-three million, four hundred seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 127 128 132 176 192 254 256 264 352 381 384 508 528 704 762 768 1016 1056 1397 1408 1524 2032 2112 2794 2816 3048 4064 4191 4224 4999 5588 6096 8128 8382 8448 9998 11176 12192 14997 16256 16764 19996 22352 24384 29994 32512 33528 39992 44704 48768 54989 59988 67056 79984 89408 97536 109978 119976 134112 159968 164967 178816 219956 239952 268224 319936 329934 357632 439912 479904 536448 634873 639872 659868 879824 959808 1072896 1269746 1279744 1319736 1759648 1904619 1919616 2539492 2639472 3519296 3809238 3839232 5078984 5278944 6983603 7038592 7618476 10157968 10557888 13967206 14077184 15236952 20315936 20950809 21115776 27934412 30473904 40631872 41901618 42231552 55868824 60947808 81263744 83803236 111737648 121895616 162527488 167606472 223475296 243791232 335212944 446950592 487582464 670425888 893901184 1340851776 1787802368 2681703552 5363407104