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20042106700 = 225271110125771
BaseRepresentation
bin10010101010100110…
…100100011101001100
31220201202202111210011
4102222212210131030
5312021234403300
613112431523004
71306443044650
oct225246443514
956652674704
1020042106700
118555279450
123a74089464
131b7532b345
14d81b26a60
157c47d6eba
hex4aa9a474c

20042106700 has 144 divisors (see below), whose sum is σ = 54761995008. Its totient is φ = 6184800000.

The previous prime is 20042106697. The next prime is 20042106731. The reversal of 20042106700 is 760124002.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 764815 + ... + 790585.

It is an arithmetic number, because the mean of its divisors is an integer number (380291632).

Almost surely, 220042106700 is an apocalyptic number.

20042106700 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 20042106700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27380997504).

20042106700 is an abundant number, since it is smaller than the sum of its proper divisors (34719888308).

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

20042106700 is a wasteful number, since it uses less digits than its factorization.

20042106700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25904 (or 25897 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The spelling of 20042106700 in words is "twenty billion, forty-two million, one hundred six thousand, seven hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 101 110 140 154 175 202 220 275 308 350 385 404 505 550 700 707 770 1010 1100 1111 1414 1540 1925 2020 2222 2525 2828 3535 3850 4444 5050 5555 7070 7700 7777 10100 11110 14140 15554 17675 22220 25771 27775 31108 35350 38885 51542 55550 70700 77770 103084 111100 128855 155540 180397 194425 257710 283481 360794 388850 515420 566962 644275 721588 777700 901985 1133924 1288550 1417405 1803970 1984367 2577100 2602871 2834810 3607940 3968734 4509925 5205742 5669620 7087025 7937468 9019850 9921835 10411484 13014355 14174050 18039700 18220097 19843670 26028710 28348100 28631581 36440194 39687340 49609175 52057420 57263162 65071775 72880388 91100485 99218350 114526324 130143550 143157905 182200970 198436700 200421067 260287100 286315810 364401940 400842134 455502425 572631620 715789525 801684268 911004850 1002105335 1431579050 1822009700 2004210670 2863158100 4008421340 5010526675 10021053350 20042106700