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20048268100 = 2252755751419
BaseRepresentation
bin10010101010111110…
…000100101101000100
31220202012100112122011
4102222332010231010
5312024324034400
613113211544004
71306546316140
oct225276045504
956665315564
1020048268100
1185587a7613
123a7615b004
131b766a7943
14d8288c220
157c51028ba
hex4aaf84b44

20048268100 has 72 divisors (see below), whose sum is σ = 49809936960. Its totient is φ = 6861217920.

The previous prime is 20048268091. The next prime is 20048268101. The reversal of 20048268100 is 186284002.

It is a super-2 number, since 2×200482681002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20048268101) 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, 364191 + ... + 415609.

It is an arithmetic number, because the mean of its divisors is an integer number (691804680).

Almost surely, 220048268100 is an apocalyptic number.

20048268100 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 20048268100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24904968480).

20048268100 is an abundant number, since it is smaller than the sum of its proper divisors (29761668860).

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

20048268100 is a wasteful number, since it uses less digits than its factorization.

20048268100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51997 (or 51990 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The spelling of 20048268100 in words is "twenty billion, forty-eight million, two hundred sixty-eight thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 557 700 1114 2228 2785 3899 5570 7798 11140 13925 15596 19495 27850 38990 51419 55700 77980 97475 102838 194950 205676 257095 359933 389900 514190 719866 1028380 1285475 1439732 1799665 2570950 3599330 5141900 7198660 8998325 17996650 28640383 35993300 57280766 114561532 143201915 200482681 286403830 400965362 572807660 716009575 801930724 1002413405 1432019150 2004826810 2864038300 4009653620 5012067025 10024134050 20048268100