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20648949100 = 225213109145723
BaseRepresentation
bin10011001110110001…
…011111010101101100
31222022001122022001121
4103032301133111230
5314242112332400
613252550350324
71330462112533
oct231661372554
958261568047
1020648949100
11883688009a
12400335b3a4
131c40c814a0
14ddc57131a
1580cc0721a
hex4cec5f56c

20648949100 has 72 divisors (see below), whose sum is σ = 48698046320. Its totient is φ = 7554228480.

The previous prime is 20648949053. The next prime is 20648949109. The reversal of 20648949100 is 194984602.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (20648949109) 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, 68839 + ... + 214561.

Almost surely, 220648949100 is an apocalyptic number.

20648949100 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 20648949100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24349023160).

20648949100 is an abundant number, since it is smaller than the sum of its proper divisors (28049097220).

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

20648949100 is a wasteful number, since it uses less digits than its factorization.

20648949100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145859 (or 145852 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The spelling of 20648949100 in words is "twenty billion, six hundred forty-eight million, nine hundred forty-nine thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 109 130 218 260 325 436 545 650 1090 1300 1417 2180 2725 2834 5450 5668 7085 10900 14170 28340 35425 70850 141700 145723 291446 582892 728615 1457230 1894399 2914460 3643075 3788798 7286150 7577596 9471995 14572300 15883807 18943990 31767614 37887980 47359975 63535228 79419035 94719950 158838070 189439900 206489491 317676140 397095175 412978982 794190350 825957964 1032447455 1588380700 2064894910 4129789820 5162237275 10324474550 20648949100