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5446808064 = 293614593
BaseRepresentation
bin1010001001010011…
…11011001000000000
3112001121010112000000
411010221323020000
542123340324224
62300252000000
7251656050615
oct50451731000
915047115000
105446808064
112345643575
121080160000
1368a5ab769
1439956c50c
1521d2b40c9
hex144a7b200

5446808064 has 140 divisors (see below), whose sum is σ = 16318120566. Its totient is φ = 1815478272.

The previous prime is 5446808063. The next prime is 5446808069. The reversal of 5446808064 is 4608086445.

5446808064 is a `hidden beast` number, since 54 + 468 + 0 + 80 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5330168064 + 116640000 = 73008^2 + 10800^2 .

It is not an unprimeable number, because it can be changed into a prime (5446808063) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 365952 + ... + 380544.

Almost surely, 25446808064 is an apocalyptic number.

5446808064 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5446808064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8159060283).

5446808064 is an abundant number, since it is smaller than the sum of its proper divisors (10871312502).

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

5446808064 is an frugal number, since it uses more digits than its factorization.

5446808064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14629 (or 14598 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 5446808064 is about 73802.4936164084. The cubic root of 5446808064 is about 1759.4652369817.

The spelling of 5446808064 in words is "five billion, four hundred forty-six million, eight hundred eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 729 768 864 972 1152 1296 1458 1536 1728 1944 2304 2592 2916 3456 3888 4608 5184 5832 6912 7776 10368 11664 13824 14593 15552 20736 23328 29186 31104 41472 43779 46656 58372 62208 87558 93312 116744 124416 131337 175116 186624 233488 262674 350232 373248 394011 466976 525348 700464 788022 933952 1050696 1182033 1400928 1576044 1867904 2101392 2364066 2801856 3152088 3546099 3735808 4202784 4728132 5603712 6304176 7092198 7471616 8405568 9456264 10638297 11207424 12608352 14184396 16811136 18912528 21276594 22414848 25216704 28368792 33622272 37825056 42553188 50433408 56737584 67244544 75650112 85106376 100866816 113475168 151300224 170212752 201733632 226950336 302600448 340425504 453900672 605200896 680851008 907801344 1361702016 1815602688 2723404032 5446808064