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5416505024 = 267531571453
BaseRepresentation
bin1010000101101100…
…10100111011000000
3111222111002222001012
411002312110323000
542043111130044
62253250300052
7251140350560
oct50266247300
914874088035
105416505024
11232a526437
121071b87628
1368422b878
14395520da0
1521a7ca59e
hex142d94ec0

5416505024 has 112 divisors (see below), whose sum is σ = 12604016448. Its totient is φ = 2261495808.

The previous prime is 5416504979. The next prime is 5416505057. The reversal of 5416505024 is 4205056145.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 3727082 + ... + 3728534.

Almost surely, 25416505024 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 5416505024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6302008224).

5416505024 is an abundant number, since it is smaller than the sum of its proper divisors (7187511424).

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

5416505024 is a wasteful number, since it uses less digits than its factorization.

5416505024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

The square root of 5416505024 is about 73596.9090655307. The cubic root of 5416505024 is about 1756.1962687276.

The spelling of 5416505024 in words is "five billion, four hundred sixteen million, five hundred five thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 112 157 212 224 314 371 424 448 628 742 848 1099 1256 1453 1484 1696 2198 2512 2906 2968 3392 4396 5024 5812 5936 8321 8792 10048 10171 11624 11872 16642 17584 20342 23248 23744 33284 35168 40684 46496 58247 66568 70336 77009 81368 92992 116494 133136 154018 162736 228121 232988 266272 308036 325472 456242 465976 532544 539063 616072 650944 912484 931952 1078126 1232144 1596847 1824968 1863904 2156252 2464288 3193694 3649936 3727808 4312504 4928576 6387388 7299872 8625008 12090413 12774776 14599744 17250016 24180826 25549552 34500032 48361652 51099104 84632891 96723304 102198208 169265782 193446608 338531564 386893216 677063128 773786432 1354126256 2708252512 5416505024