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5418111168 = 263323313457
BaseRepresentation
bin1010000101111000…
…11101000011000000
3111222121010120021000
411002330131003000
542044014024133
62253344532000
7251160120321
oct50274350300
914877116230
105418111168
112330423128
121072621000
13684671952
1439581c448
1521a9e6413
hex142f1d0c0

5418111168 has 112 divisors (see below), whose sum is σ = 15997793760. Its totient is φ = 1798152192.

The previous prime is 5418111143. The next prime is 5418111197. The reversal of 5418111168 is 8611118145.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 395896 + ... + 409352.

Almost surely, 25418111168 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 5418111168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7998896880).

5418111168 is an abundant number, since it is smaller than the sum of its proper divisors (10579682592).

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

5418111168 is a wasteful number, since it uses less digits than its factorization.

5418111168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13711 (or 13695 counting only the distinct ones).

The product of its digits is 7680, while the sum is 36.

The square root of 5418111168 is about 73607.8200193431. The cubic root of 5418111168 is about 1756.3698385435.

The spelling of 5418111168 in words is "five billion, four hundred eighteen million, one hundred eleven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 233 288 432 466 576 699 864 932 1398 1728 1864 2097 2796 3728 4194 5592 6291 7456 8388 11184 12582 13457 14912 16776 22368 25164 26914 33552 40371 44736 50328 53828 67104 80742 100656 107656 121113 134208 161484 201312 215312 242226 322968 363339 402624 430624 484452 645936 726678 861248 968904 1291872 1453356 1937808 2583744 2906712 3135481 3875616 5813424 6270962 7751232 9406443 11626848 12541924 18812886 23253696 25083848 28219329 37625772 50167696 56438658 75251544 84657987 100335392 112877316 150503088 169315974 200670784 225754632 301006176 338631948 451509264 602012352 677263896 903018528 1354527792 1806037056 2709055584 5418111168