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29939263328 = 251331832337
BaseRepresentation
bin11011111000100001…
…001110011101100000
32212021112000011022202
4123320201032131200
5442303422411303
621430502152332
72106631353002
oct337041163540
985245004282
1029939263328
1111773a2a737
1259767226a8
132a9191aa40
141640358372
15ba362cc88
hex6f884e760

29939263328 has 144 divisors (see below), whose sum is σ = 66520411776. Its totient is φ = 13172060160.

The previous prime is 29939263327. The next prime is 29939263349. The reversal of 29939263328 is 82336293992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29939263327) 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 23 ways as a sum of consecutive naturals, for example, 88840376 + ... + 88840712.

It is an arithmetic number, because the mean of its divisors is an integer number (461947304).

Almost surely, 229939263328 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 29939263328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33260205888).

29939263328 is an abundant number, since it is smaller than the sum of its proper divisors (36581148448).

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

29939263328 is a wasteful number, since it uses less digits than its factorization.

29939263328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 466 counting only the distinct ones).

The product of its digits is 7558272, while the sum is 56.

The spelling of 29939263328 in words is "twenty-nine billion, nine hundred thirty-nine million, two hundred sixty-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 83 104 124 166 208 248 332 337 403 416 496 664 674 806 992 1079 1328 1348 1612 2158 2573 2656 2696 3224 4316 4381 5146 5392 6448 6889 8632 8762 10292 10447 10784 12896 13778 17264 17524 20584 20894 27556 27971 33449 34528 35048 41168 41788 55112 55942 66898 70096 82336 83576 89557 110224 111884 133796 135811 140192 167152 179114 213559 220448 223768 267592 271622 334304 358228 363623 427118 447536 535184 543244 716456 727246 854236 867101 895072 1070368 1086488 1432912 1454492 1708472 1734202 2172976 2321593 2776267 2865824 2908984 3416944 3468404 4345952 4643186 5552534 5817968 6833888 6936808 9286372 11105068 11272313 11635936 13873616 18572744 22210136 22544626 27747232 30180709 37145488 44420272 45089252 60361418 71969383 74290976 88840544 90178504 120722836 143938766 180357008 241445672 287877532 360714016 482891344 575755064 935601979 965782688 1151510128 1871203958 2303020256 3742407916 7484815832 14969631664 29939263328