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20429301568 = 2613314119319
BaseRepresentation
bin10011000001101011…
…100110011101000000
31221201202100001021211
4103001223212131000
5313314400122233
613215102455504
71322154124654
oct230153463500
957652301254
1020429301568
118733898705
123b61894594
131c07608330
14dbb316a64
157e87bb5cd
hex4c1ae6740

20429301568 has 112 divisors (see below), whose sum is σ = 46167690240. Its totient is φ = 8901734400.

The previous prime is 20429301551. The next prime is 20429301587. The reversal of 20429301568 is 86510392402.

It is a self number, because there is not a number n which added to its sum of digits gives 20429301568.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1047813 + ... + 1067131.

It is an arithmetic number, because the mean of its divisors is an integer number (412211520).

Almost surely, 220429301568 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 20429301568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23083845120).

20429301568 is an abundant number, since it is smaller than the sum of its proper divisors (25738388672).

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

20429301568 is a wasteful number, since it uses less digits than its factorization.

20429301568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19416 (or 19406 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 20429301568 in words is "twenty billion, four hundred twenty-nine million, three hundred one thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 31 32 41 52 62 64 82 104 124 164 208 248 328 403 416 496 533 656 806 832 992 1066 1271 1312 1612 1984 2132 2542 2624 3224 4264 5084 6448 8528 10168 12896 16523 17056 19319 20336 25792 33046 34112 38638 40672 66092 77276 81344 132184 154552 251147 264368 309104 502294 528736 598889 618208 792079 1004588 1057472 1197778 1236416 1584158 2009176 2395556 3168316 4018352 4791112 6336632 7785557 8036704 9582224 10297027 12673264 15571114 16073408 19164448 20594054 24554449 25346528 31142228 38328896 41188108 49108898 50693056 62284456 82376216 98217796 124568912 164752432 196435592 249137824 319207837 329504864 392871184 498275648 638415674 659009728 785742368 1276831348 1571484736 2553662696 5107325392 10214650784 20429301568