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20553016040 = 235372794751
BaseRepresentation
bin10011001001000011…
…100010001011101000
31222001101010101122022
4103021003202023220
5314043033003130
613235242244012
71325215516364
oct231103421350
958041111568
1020553016040
118797707177
123b971b6608
131c27132b6b
14dcd91c2a4
158045a77e5
hex4c90e22e8

20553016040 has 96 divisors (see below), whose sum is σ = 48139660800. Its totient is φ = 7896096000.

The previous prime is 20553016021. The next prime is 20553016061. The reversal of 20553016040 is 4061035502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4323665 + ... + 4328415.

It is an arithmetic number, because the mean of its divisors is an integer number (501454800).

Almost surely, 220553016040 is an apocalyptic number.

20553016040 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 20553016040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24069830400).

20553016040 is an abundant number, since it is smaller than the sum of its proper divisors (27586644760).

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

20553016040 is a wasteful number, since it uses less digits than its factorization.

20553016040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4915 (or 4874 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The spelling of 20553016040 in words is "twenty billion, five hundred fifty-three million, sixteen thousand, forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 79 148 158 185 296 316 370 395 632 740 790 1369 1480 1580 2738 2923 3160 4751 5476 5846 6845 9502 10952 11692 13690 14615 19004 23384 23755 27380 29230 38008 47510 54760 58460 95020 108151 116920 175787 190040 216302 351574 375329 432604 540755 703148 750658 865208 878935 1081510 1406296 1501316 1757870 1876645 2163020 3002632 3515740 3753290 4326040 6504119 7031480 7506580 13008238 13887173 15013160 26016476 27774346 32520595 52032952 55548692 65041190 69435865 111097384 130082380 138871730 260164760 277743460 513825401 555486920 1027650802 2055301604 2569127005 4110603208 5138254010 10276508020 20553016040