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8005129044 = 22311147141227
BaseRepresentation
bin1110111010010010…
…01001001101010100
3202122220001200121220
413131021021031110
5112343303112134
63402201410340
7402242321433
oct73511111524
922586050556
108005129044
113438760a30
121674a999b0
139a761a863
1455d24111a
1531cbb0149
hex1dd249354

8005129044 has 48 divisors (see below), whose sum is σ = 20391038976. Its totient is φ = 2424088800.

The previous prime is 8005129007. The next prime is 8005129177. The reversal of 8005129044 is 4409215008.

It is a super-2 number, since 2×80051290442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 8005128996 and 8005129014.

It is a congruent number.

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, 173559 + ... + 214785.

It is an arithmetic number, because the mean of its divisors is an integer number (424813312).

Almost surely, 28005129044 is an apocalyptic number.

It is an amenable number.

8005129044 is an abundant number, since it is smaller than the sum of its proper divisors (12385909932).

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

8005129044 is a wasteful number, since it uses less digits than its factorization.

8005129044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42716 (or 42714 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 8005129044 is about 89471.3867334133. The cubic root of 8005129044 is about 2000.4273290218.

The spelling of 8005129044 in words is "eight billion, five million, one hundred twenty-nine thousand, forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 1471 2942 4413 5884 8826 16181 17652 32362 41227 48543 64724 82454 97086 123681 164908 194172 247362 453497 494724 906994 1360491 1813988 2720982 5441964 60644917 121289834 181934751 242579668 363869502 667094087 727739004 1334188174 2001282261 2668376348 4002564522 8005129044