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20908661200 = 2452711366083
BaseRepresentation
bin10011011110010000…
…001101100111010000
31222222011100001002021
4103132100031213100
5320310104124300
613334425101224
71340064454630
oct233620154720
958864301067
1020908661200
11895a437699
124076327814
131c82a1469b
141024c586c0
15825908d1a
hex4de40d9d0

20908661200 has 120 divisors (see below), whose sum is σ = 57918132288. Its totient is φ = 7105136640.

The previous prime is 20908661117. The next prime is 20908661203. The reversal of 20908661200 is 216680902.

It is a happy number.

It is a super-2 number, since 2×209086612002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20908661203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 283359 + ... + 349441.

Almost surely, 220908661200 is an apocalyptic number.

20908661200 is a gapful number since it is divisible by the number (20) 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 20908661200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28959066144).

20908661200 is an abundant number, since it is smaller than the sum of its proper divisors (37009471088).

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

20908661200 is a wasteful number, since it uses less digits than its factorization.

20908661200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66221 (or 66210 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The spelling of 20908661200 in words is "twenty billion, nine hundred eight million, six hundred sixty-one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 113 140 175 200 226 280 350 400 452 560 565 700 791 904 1130 1400 1582 1808 2260 2800 2825 3164 3955 4520 5650 6328 7910 9040 11300 12656 15820 19775 22600 31640 39550 45200 63280 66083 79100 132166 158200 264332 316400 330415 462581 528664 660830 925162 1057328 1321660 1652075 1850324 2312905 2643320 3304150 3700648 4625810 5286640 6608300 7401296 7467379 9251620 11564525 13216600 14934758 18503240 23129050 26433200 29869516 37006480 37336895 46258100 52271653 59739032 74673790 92516200 104543306 119478064 149347580 185032400 186684475 209086612 261358265 298695160 373368950 418173224 522716530 597390320 746737900 836346448 1045433060 1306791325 1493475800 2090866120 2613582650 2986951600 4181732240 5227165300 10454330600 20908661200