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20241831864 = 23317597311519
BaseRepresentation
bin10010110110100000…
…011101011110111000
31221020200120121012110
4102312200131132320
5312423402104424
613144324412320
71314416506032
oct226640353670
957220517173
1020241831864
118647a93971
123b0ab470a0
131ba781a507
14da0476c52
157d70d9c29
hex4b681d7b8

20241831864 has 128 divisors (see below), whose sum is σ = 55240704000. Its totient is φ = 6156693504.

The previous prime is 20241831853. The next prime is 20241831899. The reversal of 20241831864 is 46813814202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1751497 + ... + 1763015.

It is an arithmetic number, because the mean of its divisors is an integer number (431568000).

Almost surely, 220241831864 is an apocalyptic number.

20241831864 is a gapful number since it is divisible by the number (24) 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 20241831864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27620352000).

20241831864 is an abundant number, since it is smaller than the sum of its proper divisors (34998872136).

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

20241831864 is a wasteful number, since it uses less digits than its factorization.

20241831864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11677 (or 11673 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 20241831864 in words is "twenty billion, two hundred forty-one million, eight hundred thirty-one thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 59 68 73 102 118 136 146 177 204 219 236 292 354 408 438 472 584 708 876 1003 1241 1416 1752 2006 2482 3009 3723 4012 4307 4964 6018 7446 8024 8614 9928 11519 12036 12921 14892 17228 23038 24072 25842 29784 34456 34557 46076 51684 69114 73219 92152 103368 138228 146438 195823 219657 276456 292876 391646 439314 585752 587469 679621 783292 840887 878628 1174938 1359242 1566584 1681774 1757256 2038863 2349876 2522661 2718484 3363548 4077726 4699752 5045322 5436968 6727096 8155452 10090644 11553557 14295079 16310904 20181288 23107114 28590158 34660671 42885237 46214228 49612333 57180316 69321342 85770474 92428456 99224666 114360632 138642684 148836999 171540948 198449332 277285368 297673998 343081896 396898664 595347996 843409661 1190695992 1686819322 2530228983 3373638644 5060457966 6747277288 10120915932 20241831864