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948731904020 = 225175099354721
BaseRepresentation
bin11011100111001001101…
…01000000000000010100
310100200211202110022012102
431303210311000000110
5111021000331412040
62003501425141232
7125354314061315
oct15634465000024
93320752408172
10948731904020
1133639a47663a
12133a5448a818
136b6078b1684
1433cc153c60c
1519a2a8d4515
hexdce4d40014

948731904020 has 48 divisors (see below), whose sum is σ = 2109613213008. Its totient is φ = 357156126720.

The previous prime is 948731904019. The next prime is 948731904023. The reversal of 948731904020 is 20409137849.

It can be written as a sum of positive squares in 8 ways, for example, as 22140844804 + 926591059216 = 148798^2 + 962596^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (948731904023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17310260 + ... + 17364980.

It is an arithmetic number, because the mean of its divisors is an integer number (43950275271).

Almost surely, 2948731904020 is an apocalyptic number.

It is an amenable number.

948731904020 is an abundant number, since it is smaller than the sum of its proper divisors (1160881308988).

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

948731904020 is a wasteful number, since it uses less digits than its factorization.

948731904020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105740 (or 105738 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 47.

The spelling of 948731904020 in words is "nine hundred forty-eight billion, seven hundred thirty-one million, nine hundred four thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 50993 54721 101986 109442 203972 218884 254965 273605 509930 547210 866881 930257 1019860 1094420 1733762 1860514 3467524 3721028 4334405 4651285 8668810 9302570 17337620 18605140 2790387953 5580775906 11161551812 13951939765 27903879530 47436595201 55807759060 94873190402 189746380804 237182976005 474365952010 948731904020