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4479919164 = 223474314583
BaseRepresentation
bin1000010110000011…
…00010010000111100
3102120012202110210000
410023001202100330
533133324403124
62020312114300
7216005453550
oct41301422074
912505673700
104479919164
111999885636
12a50395990
13565195656
14306d9d860
151b34736c9
hex10b06243c

4479919164 has 120 divisors (see below), whose sum is σ = 13418431488. Its totient is φ = 1276728480.

The previous prime is 4479919141. The next prime is 4479919177. The reversal of 4479919164 is 4619199744.

4479919164 is a `hidden beast` number, since 4 + 479 + 9 + 1 + 9 + 164 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4479919164.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 975217 + ... + 979799.

Almost surely, 24479919164 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 4479919164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6709215744).

4479919164 is an abundant number, since it is smaller than the sum of its proper divisors (8938512324).

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

4479919164 is a wasteful number, since it uses less digits than its factorization.

4479919164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5037 (or 5026 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 4479919164 is about 66932.1982606279. The cubic root of 4479919164 is about 1648.5042047382.

The spelling of 4479919164 in words is "four billion, four hundred seventy-nine million, nine hundred nineteen thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 431 567 756 862 1134 1293 1724 2268 2586 3017 3879 4583 5172 6034 7758 9051 9166 11637 12068 13749 15516 18102 18332 23274 27153 27498 32081 34911 36204 41247 46548 54306 54996 64162 69822 81459 82494 96243 108612 123741 128324 139644 162918 164988 192486 244377 247482 288729 325836 371223 384972 488754 494964 577458 742446 866187 977508 1154916 1484892 1732374 1975273 2598561 3464748 3950546 5197122 5925819 7901092 10394244 11851638 13826911 17777457 23703276 27653822 35554914 41480733 53332371 55307644 71109828 82961466 106664742 124442199 159997113 165922932 213329484 248884398 319994226 373326597 497768796 639988452 746653194 1119979791 1493306388 2239959582 4479919164