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20553835000 = 235423367487
BaseRepresentation
bin10011001001000110…
…101010000111111000
31222001102200000001011
4103021012222013320
5314043240210000
613235312003304
71325225500126
oct231106520770
958042600034
1020553835000
1187981164a6
123b97530534
131c2735b85a
14dcda92916
158046ba2ba
hex4c91aa1f8

20553835000 has 160 divisors (see below), whose sum is σ = 50491837440. Its totient is φ = 7826544000.

The previous prime is 20553834979. The next prime is 20553835007. The reversal of 20553835000 is 53835502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20553835007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42204757 + ... + 42205243.

It is an arithmetic number, because the mean of its divisors is an integer number (315573984).

Almost surely, 220553835000 is an apocalyptic number.

20553835000 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 20553835000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25245918720).

20553835000 is an abundant number, since it is smaller than the sum of its proper divisors (29938002440).

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

20553835000 is a wasteful number, since it uses less digits than its factorization.

20553835000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

The spelling of 20553835000 in words is "twenty billion, five hundred fifty-three million, eight hundred thirty-five thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 125 184 200 230 250 367 460 487 500 575 625 734 920 974 1000 1150 1250 1468 1835 1948 2300 2435 2500 2875 2936 3670 3896 4600 4870 5000 5750 7340 8441 9175 9740 11201 11500 12175 14375 14680 16882 18350 19480 22402 23000 24350 28750 33764 36700 42205 44804 45875 48700 56005 57500 60875 67528 73400 84410 89608 91750 97400 112010 115000 121750 168820 178729 183500 211025 224020 229375 243500 280025 304375 337640 357458 367000 422050 448040 458750 487000 560050 608750 714916 844100 893645 917500 1055125 1120100 1217500 1400125 1429832 1688200 1787290 1835000 2110250 2240200 2435000 2800250 3574580 4110767 4220500 4468225 5275625 5600500 7000625 7149160 8221534 8441000 8936450 10551250 11201000 14001250 16443068 17872900 20553835 21102500 22341125 28002500 32886136 35745800 41107670 42205000 44682250 56005000 82215340 89364500 102769175 111705625 164430680 178729000 205538350 223411250 411076700 446822500 513845875 822153400 893645000 1027691750 2055383500 2569229375 4110767000 5138458750 10276917500 20553835000