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20753793792 = 283218774799
BaseRepresentation
bin10011010101000001…
…011100001100000000
31222120100220221221100
4103111001130030000
5320000432400132
613311213454400
71333204223304
oct232501341400
958510827840
1020753793792
11888aa804a6
1240324a1400
131c59900174
14100c463d04
1581701737c
hex4d505c300

20753793792 has 108 divisors (see below), whose sum is σ = 59882659200. Its totient is φ = 6912804864.

The previous prime is 20753793743. The next prime is 20753793811. The reversal of 20753793792 is 29739735702.

It is a super-3 number, since 3×207537937923 (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4322209 + ... + 4327007.

Almost surely, 220753793792 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 20753793792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29941329600).

20753793792 is an abundant number, since it is smaller than the sum of its proper divisors (39128865408).

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

20753793792 is a wasteful number, since it uses less digits than its factorization.

20753793792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6698 (or 6681 counting only the distinct ones).

The product of its (nonzero) digits is 5000940, while the sum is 54.

The spelling of 20753793792 in words is "twenty billion, seven hundred fifty-three million, seven hundred ninety-three thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 1877 2304 3754 4799 5631 7508 9598 11262 14397 15016 16893 19196 22524 28794 30032 33786 38392 43191 45048 57588 60064 67572 76784 86382 90096 115176 120128 135144 153568 172764 180192 230352 240256 270288 307136 345528 360384 460704 480512 540576 614272 691056 720768 921408 1081152 1228544 1382112 1441536 1842816 2162304 2764224 3685632 4324608 5528448 9007723 11056896 18015446 27023169 36030892 54046338 72061784 81069507 108092676 144123568 162139014 216185352 288247136 324278028 432370704 576494272 648556056 864741408 1152988544 1297112112 1729482816 2305977088 2594224224 3458965632 5188448448 6917931264 10376896896 20753793792