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5005455312 = 24311133719709
BaseRepresentation
bin1001010100101100…
…10010111111010000
3110220211122110211210
410222112102333100
540222344032222
62144404140120
7235016445114
oct45226227720
913824573753
105005455312
1121394a3730
12b78397640
1361a01b9a0
14356ac1744
151e4682d0c
hex12a592fd0

5005455312 has 160 divisors (see below), whose sum is σ = 15602751360. Its totient is φ = 1362216960.

The previous prime is 5005455283. The next prime is 5005455337. The reversal of 5005455312 is 2135545005.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 5005455312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244114 + ... + 263822.

It is an arithmetic number, because the mean of its divisors is an integer number (97517196).

Almost surely, 25005455312 is an apocalyptic number.

5005455312 is a gapful number since it is divisible by the number (52) 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 5005455312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7801375680).

5005455312 is an abundant number, since it is smaller than the sum of its proper divisors (10597296048).

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

5005455312 is a wasteful number, since it uses less digits than its factorization.

5005455312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19781 (or 19775 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 30.

The square root of 5005455312 is about 70749.2424835772. The cubic root of 5005455312 is about 1710.5976174577.

The spelling of 5005455312 in words is "five billion, five million, four hundred fifty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 37 39 44 48 52 66 74 78 88 104 111 132 143 148 156 176 208 222 264 286 296 312 407 429 444 481 528 572 592 624 814 858 888 962 1144 1221 1443 1628 1716 1776 1924 2288 2442 2886 3256 3432 3848 4884 5291 5772 6512 6864 7696 9768 10582 11544 15873 19536 19709 21164 23088 31746 39418 42328 59127 63492 78836 84656 118254 126984 157672 216799 236508 253968 256217 315344 433598 473016 512434 650397 729233 768651 867196 946032 1024868 1300794 1458466 1537302 1734392 2049736 2187699 2601588 2818387 2916932 3074604 3468784 4099472 4375398 5203176 5636774 5833864 6149208 8021563 8455161 8750796 9480029 10406352 11273548 11667728 12298416 16043126 16910322 17501592 18960058 22547096 24064689 28440087 32086252 33820644 35003184 37920116 45094192 48129378 56880174 64172504 67641288 75840232 96258756 104280319 113760348 128345008 135282576 151680464 192517512 208560638 227520696 312840957 385035024 417121276 455041392 625681914 834242552 1251363828 1668485104 2502727656 5005455312