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5002164468 = 22327148913331
BaseRepresentation
bin1001010100010011…
…01111100011110100
3110220121110021122200
410222021233203310
540221023230333
62144205424500
7234646460610
oct45211574364
913817407580
105002164468
112137656224
12b7726b130
13619438b42
143564a6340
151e4232c13
hex12a26f8f4

5002164468 has 72 divisors (see below), whose sum is σ = 14461487040. Its totient is φ = 1428122880.

The previous prime is 5002164437. The next prime is 5002164511. The reversal of 5002164468 is 8644612005.

5002164468 is a `hidden beast` number, since 5 + 0 + 0 + 2 + 1 + 644 + 6 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 368563 + ... + 381893.

Almost surely, 25002164468 is an apocalyptic number.

It is an amenable number.

5002164468 is an abundant number, since it is smaller than the sum of its proper divisors (9459322572).

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

5002164468 is a wasteful number, since it uses less digits than its factorization.

5002164468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14837 (or 14832 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 5002164468 is about 70725.9815626478. The cubic root of 5002164468 is about 1710.2226569615. Note that the first 3 decimals are identical.

The spelling of 5002164468 in words is "five billion, two million, one hundred sixty-four thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 1489 2978 4467 5956 8934 10423 13331 13401 17868 20846 26662 26802 31269 39993 41692 53324 53604 62538 79986 93317 93807 119979 125076 159972 186634 187614 239958 279951 373268 375228 479916 559902 839853 1119804 1679706 3359412 19849859 39699718 59549577 79399436 119099154 138949013 178648731 238198308 277898026 357297462 416847039 555796052 714594924 833694078 1250541117 1667388156 2501082234 5002164468