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10044000020 = 22519373112297
BaseRepresentation
bin10010101101010101…
…10100011100010100
3221220222120001210202
421112222310130110
5131032231000040
64340353440032
7503620406615
oct112652643424
927828501722
1010044000020
11429463796a
121b43870018
13c40b548a2
146b3d37c0c
153dbba0015
hex256ab4714

10044000020 has 96 divisors (see below), whose sum is σ = 22885873920. Its totient is φ = 3689763840.

The previous prime is 10044000007. The next prime is 10044000089. The reversal of 10044000020 is 2000044001.

It is a junction number, because it is equal to n+sod(n) for n = 10043999965 and 10044000010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4371512 + ... + 4373808.

It is an arithmetic number, because the mean of its divisors is an integer number (238394520).

Almost surely, 210044000020 is an apocalyptic number.

10044000020 is a gapful number since it is divisible by the number (10) 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 10044000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11442936960).

10044000020 is an abundant number, since it is smaller than the sum of its proper divisors (12841873900).

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

10044000020 is a wasteful number, since it uses less digits than its factorization.

10044000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2673 (or 2671 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 10044000020 its reverse (2000044001), we get a palindrome (12044044021).

The spelling of 10044000020 in words is "ten billion, forty-four million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 19 20 37 38 74 76 95 148 185 190 311 370 380 622 703 740 1244 1406 1555 2297 2812 3110 3515 4594 5909 6220 7030 9188 11485 11507 11818 14060 22970 23014 23636 29545 43643 45940 46028 57535 59090 84989 87286 115070 118180 169978 174572 218215 218633 230140 339956 424945 436430 437266 714367 849890 872860 874532 1093165 1428734 1614791 1699780 2186330 2857468 3229582 3571835 4372660 6459164 7143670 8073955 13572973 14287340 16147910 26431579 27145946 32295820 52863158 54291892 67864865 105726316 132157895 135729730 264315790 271459460 502200001 528631580 1004400002 2008800004 2511000005 5022000010 10044000020