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682103438748 = 2237523149087
BaseRepresentation
bin10011110110100001000…
…10000111110110011100
32102012121221221220000000
421323100202013312130
542133421440014443
61241204243534300
7100165105365054
oct11732042076634
92365557856000
10682103438748
11243307677306
12b024308a390
134c4257b5424
142502a522564
1512b22d328d3
hex9ed0887d9c

682103438748 has 96 divisors (see below), whose sum is σ = 1793683691520. Its totient is φ = 226931553072.

The previous prime is 682103438719. The next prime is 682103438801. The reversal of 682103438748 is 847834301286.

682103438748 is a `hidden beast` number, since 6 + 8 + 210 + 3 + 4 + 387 + 48 = 666.

682103438748 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 682103438694 and 682103438703.

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, 4500661 + ... + 4649747.

It is an arithmetic number, because the mean of its divisors is an integer number (18684205120).

Almost surely, 2682103438748 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 682103438748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896841845760).

682103438748 is an abundant number, since it is smaller than the sum of its proper divisors (1111580252772).

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

682103438748 is a wasteful number, since it uses less digits than its factorization.

682103438748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149635 (or 149615 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 682103438748 in words is "six hundred eighty-two billion, one hundred three million, four hundred thirty-eight thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 523 729 972 1046 1458 1569 2092 2187 2916 3138 4374 4707 6276 8748 9414 14121 18828 28242 42363 56484 84726 127089 149087 169452 254178 298174 381267 447261 508356 596348 762534 894522 1143801 1341783 1525068 1789044 2287602 2683566 4025349 4575204 5367132 8050698 12076047 16101396 24152094 36228141 48304188 72456282 77972501 108684423 144912564 155945002 217368846 233917503 311890004 326053269 434737692 467835006 652106538 701752509 935670012 1304213076 1403505018 2105257527 2807010036 4210515054 6315772581 8421030108 12631545162 18947317743 25263090324 37894635486 56841953229 75789270972 113683906458 170525859687 227367812916 341051719374 682103438748