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23843434832 = 247299537703
BaseRepresentation
bin10110001101001011…
…011111000101010000
32021112200121222122222
4112031023133011100
5342312404403312
614541543320212
71502601565160
oct261513370520
967480558588
1023843434832
11a125aa7548
124755150068
13232ca3c129
1412229225a0
159483b6672
hex58d2df150

23843434832 has 80 divisors (see below), whose sum is σ = 54681143040. Its totient is φ = 9854616576.

The previous prime is 23843434819. The next prime is 23843434931.

23843434832 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

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, 3091493 + ... + 3099195.

It is an arithmetic number, because the mean of its divisors is an integer number (683514288).

Almost surely, 223843434832 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 23843434832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27340571520).

23843434832 is an abundant number, since it is smaller than the sum of its proper divisors (30837708208).

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

23843434832 is a wasteful number, since it uses less digits than its factorization.

23843434832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8700 (or 8694 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 44.

The spelling of 23843434832 in words is "twenty-three billion, eight hundred forty-three million, four hundred thirty-four thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 203 232 406 464 812 953 1624 1906 3248 3812 6671 7624 7703 13342 15248 15406 26684 27637 30812 53368 53921 55274 61624 106736 107842 110548 123248 193459 215684 221096 223387 386918 431368 442192 446774 773836 862736 893548 1547672 1563709 1787096 3095344 3127418 3574192 6254836 7340959 12509672 14681918 25019344 29363836 51386713 58727672 102773426 117455344 205546852 212887811 411093704 425775622 822187408 851551244 1490214677 1703102488 2980429354 3406204976 5960858708 11921717416 23843434832