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29883026112 = 2631959138841
BaseRepresentation
bin11011110101001010…
…101100101011000000
32212010121012000100220
4123311022230223000
5442200023313422
621421132543040
72105346350052
oct336512545300
985117160326
1029883026112
11117452098a5
12595b921a80
132a8308a694
141636ab98d2
15b9d71ee5c
hex6f52acac0

29883026112 has 112 divisors (see below), whose sum is σ = 84638083200. Its totient is φ = 9276733440.

The previous prime is 29883026111. The next prime is 29883026141. The reversal of 29883026112 is 21162038892.

It is a super-2 number, since 2×298830261122 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (29883026111) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 145812 + ... + 284652.

Almost surely, 229883026112 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 29883026112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42319041600).

29883026112 is an abundant number, since it is smaller than the sum of its proper divisors (54755057088).

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

29883026112 is a wasteful number, since it uses less digits than its factorization.

29883026112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138934 (or 138924 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 29883026112 in words is "twenty-nine billion, eight hundred eighty-three million, twenty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 59 64 76 96 114 118 152 177 192 228 236 304 354 456 472 608 708 912 944 1121 1216 1416 1824 1888 2242 2832 3363 3648 3776 4484 5664 6726 8968 11328 13452 17936 26904 35872 53808 71744 107616 138841 215232 277682 416523 555364 833046 1110728 1666092 2221456 2637979 3332184 4442912 5275958 6664368 7913937 8191619 8885824 10551916 13328736 15827874 16383238 21103832 24574857 26657472 31655748 32766476 42207664 49149714 63311496 65532952 84415328 98299428 126622992 131065904 155640761 168830656 196598856 253245984 262131808 311281522 393197712 466922283 506491968 524263616 622563044 786395424 933844566 1245126088 1572790848 1867689132 2490252176 3735378264 4980504352 7470756528 9961008704 14941513056 29883026112