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29852582144 = 287111514437
BaseRepresentation
bin11011110011010110…
…100100000100000000
32212001110220022002112
4123303112210010000
5442114230112034
621414124234452
72104526522120
oct336326440400
985043808075
1029852582144
111172a0058a0
12595169ba28
132a7998b5b8
141632a32c80
15b9ac097ce
hex6f35a4100

29852582144 has 72 divisors (see below), whose sum is σ = 74292270528. Its totient is φ = 11630868480.

The previous prime is 29852582143. The next prime is 29852582153. The reversal of 29852582144 is 44128525892.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 29852582092 and 29852582101.

It is not an unprimeable number, because it can be changed into a prime (29852582143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 737507 + ... + 776930.

Almost surely, 229852582144 is an apocalyptic number.

It is an amenable number.

29852582144 is an abundant number, since it is smaller than the sum of its proper divisors (44439688384).

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

29852582144 is a wasteful number, since it uses less digits than its factorization.

29852582144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1514471 (or 1514457 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 50.

The spelling of 29852582144 in words is "twenty-nine billion, eight hundred fifty-two million, five hundred eighty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 352 448 616 704 896 1232 1408 1792 2464 2816 4928 9856 19712 1514437 3028874 6057748 10601059 12115496 16658807 21202118 24230992 33317614 42404236 48461984 66635228 84808472 96923968 116611649 133270456 169616944 193847936 233223298 266540912 339233888 387695872 466446596 533081824 678467776 932893192 1066163648 1356935552 1865786384 2132327296 2713871104 3731572768 4264654592 7463145536 14926291072 29852582144