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29979453192 = 23313296435153
BaseRepresentation
bin11011111010111010…
…100010011100001000
32212101022122000110020
4123322322202130020
5442344220000232
621434455420440
72110630101423
oct337272423410
985338560406
1029979453192
111179468a9a7
125988084720
132a9a04cb20
14164581a9ba
15ba6e1ae2c
hex6faea2708

29979453192 has 128 divisors (see below), whose sum is σ = 83643235200. Its totient is φ = 8890785792.

The previous prime is 29979453191. The next prime is 29979453197. The reversal of 29979453192 is 29135497992.

It is a super-3 number, since 3×299794531923 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (29979453191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5815288 + ... + 5820440.

It is an arithmetic number, because the mean of its divisors is an integer number (653462775).

Almost surely, 229979453192 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 29979453192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41821617600).

29979453192 is an abundant number, since it is smaller than the sum of its proper divisors (53663782008).

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

29979453192 is a wasteful number, since it uses less digits than its factorization.

29979453192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5847 (or 5843 counting only the distinct ones).

The product of its digits is 11022480, while the sum is 60.

The spelling of 29979453192 in words is "twenty-nine billion, nine hundred seventy-nine million, four hundred fifty-three thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 29 39 52 58 78 87 104 116 156 174 232 312 348 377 643 696 754 1131 1286 1508 1929 2262 2572 3016 3858 4524 5144 5153 7716 8359 9048 10306 15432 15459 16718 18647 20612 25077 30918 33436 37294 41224 50154 55941 61836 66872 66989 74588 100308 111882 123672 133978 149176 149437 200616 200967 223764 242411 267956 298874 401934 447528 448311 484822 535912 597748 727233 803868 896622 969644 1195496 1454466 1607736 1793244 1939288 1942681 2908932 3313379 3586488 3885362 5817864 5828043 6626758 7770724 9940137 11656086 13253516 15541448 19880274 23312172 26507032 39760548 43073927 46624344 79521096 86147854 96087991 129221781 172295708 192175982 258443562 288263973 344591416 384351964 516887124 576527946 768703928 1033774248 1153055892 1249143883 2306111784 2498287766 3747431649 4996575532 7494863298 9993151064 14989726596 29979453192