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13608355700 = 22521092934261
BaseRepresentation
bin11001010110001111…
…10000011101110100
31022010101112002121002
430223013300131310
5210332214340300
610130202142432
7661141054262
oct145307603564
938111462532
1013608355700
115853620065
1227794b1a18
13138b4348a4
14931489432
15549a705d5
hex32b1f0774

13608355700 has 72 divisors (see below), whose sum is σ = 29909778360. Its totient is φ = 5373734400.

The previous prime is 13608355699. The next prime is 13608355771. The reversal of 13608355700 is 755380631.

It can be written as a sum of positive squares in 12 ways, for example, as 275958544 + 13332397156 = 16612^2 + 115466^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3191570 + ... + 3195830.

Almost surely, 213608355700 is an apocalyptic number.

13608355700 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 13608355700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14954889180).

13608355700 is an abundant number, since it is smaller than the sum of its proper divisors (16301422660).

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

13608355700 is a wasteful number, since it uses less digits than its factorization.

13608355700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4677 (or 4670 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 38.

The spelling of 13608355700 in words is "thirteen billion, six hundred eight million, three hundred fifty-five thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 100 109 218 293 436 545 586 1090 1172 1465 2180 2725 2930 4261 5450 5860 7325 8522 10900 14650 17044 21305 29300 31937 42610 63874 85220 106525 127748 159685 213050 319370 426100 464449 638740 798425 928898 1248473 1596850 1857796 2322245 2496946 3193700 4644490 4993892 6242365 9288980 11611225 12484730 23222450 24969460 31211825 46444900 62423650 124847300 136083557 272167114 544334228 680417785 1360835570 2721671140 3402088925 6804177850 13608355700