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2829296016 = 243243734493
BaseRepresentation
bin1010100010100011…
…1010000110010000
321022011211010111100
42220220322012100
521243244433031
61144425344400
7130053422301
oct25050720620
97264733440
102829296016
111222077a78
1266b638100
13361216971
141cba8c7a8
151185c4de6
hexa8a3a190

2829296016 has 60 divisors (see below), whose sum is σ = 7921672668. Its totient is φ = 942673152.

The previous prime is 2829295981. The next prime is 2829296021. The reversal of 2829296016 is 6106929282.

It can be written as a sum of positive squares in 2 ways, for example, as 2430095616 + 399200400 = 49296^2 + 19980^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 627466 + ... + 631958.

Almost surely, 22829296016 is an apocalyptic number.

It is an amenable number.

2829296016 is an abundant number, since it is smaller than the sum of its proper divisors (5092376652).

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

2829296016 is a wasteful number, since it uses less digits than its factorization.

2829296016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8880 (or 8871 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 2829296016 is about 53191.1272300184. The cubic root of 2829296016 is about 1414.3583627555.

The spelling of 2829296016 in words is "two billion, eight hundred twenty-nine million, two hundred ninety-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 4373 4493 8746 8986 13119 13479 17492 17972 26238 26958 34984 35944 39357 40437 52476 53916 69968 71888 78714 80874 104952 107832 157428 161748 209904 215664 314856 323496 629712 646992 19647889 39295778 58943667 78591556 117887334 157183112 176831001 235774668 314366224 353662002 471549336 707324004 943098672 1414648008 2829296016