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29978978832 = 24321137949937
BaseRepresentation
bin11011111010111000…
…101110101000010000
32212101021201220202100
4123322320232220100
5442344104310312
621434441320400
72110623054435
oct337270565020
985337656670
1029978978832
1111794396570
125987a96100
132a99c14c3a
141645735b8c
15ba6d755dc
hex6fae2ea10

29978978832 has 120 divisors (see below), whose sum is σ = 91770063840. Its totient is φ = 9060387840.

The previous prime is 29978978801. The next prime is 29978978857. The reversal of 29978978832 is 23887987992.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 575368 + ... + 625304.

It is an arithmetic number, because the mean of its divisors is an integer number (764750532).

Almost surely, 229978978832 is an apocalyptic number.

29978978832 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29978978832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45885031920).

29978978832 is an abundant number, since it is smaller than the sum of its proper divisors (61791085008).

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

29978978832 is a wasteful number, since it uses less digits than its factorization.

29978978832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50341 (or 50332 counting only the distinct ones).

The product of its digits is 219469824, while the sum is 72.

The spelling of 29978978832 in words is "twenty-nine billion, nine hundred seventy-eight million, nine hundred seventy-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 379 396 528 758 792 1137 1516 1584 2274 3032 3411 4169 4548 6064 6822 8338 9096 12507 13644 16676 18192 25014 27288 33352 37521 49937 50028 54576 66704 75042 99874 100056 149811 150084 199748 200112 299622 300168 399496 449433 549307 599244 600336 798992 898866 1098614 1198488 1647921 1797732 2197228 2396976 3295842 3595464 4394456 4943763 6591684 7190928 8788912 9887526 13183368 18926123 19775052 26366736 37852246 39550104 56778369 75704492 79100208 113556738 151408984 170335107 208187353 227113476 302817968 340670214 416374706 454226952 624562059 681340428 832749412 908453904 1249124118 1362680856 1665498824 1873686177 2498248236 2725361712 3330997648 3747372354 4996496472 7494744708 9992992944 14989489416 29978978832