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20461556340 = 2233579747543
BaseRepresentation
bin10011000011100110…
…101001001001110100
31221211000000202112000
4103003212221021310
5313401124300330
613222214055300
71323025234131
oct230346511164
957730022460
1020461556340
118750019145
123b7064a530
131c111bc6b4
14dc1711588
157eb53d560
hex4c39a9274

20461556340 has 96 divisors (see below), whose sum is σ = 63739388160. Its totient is φ = 5449454208.

The previous prime is 20461556333. The next prime is 20461556351. The reversal of 20461556340 is 4365516402.

20461556340 is a `hidden beast` number, since 2 + 0 + 4 + 6 + 15 + 5 + 634 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20461556295 and 20461556304.

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, 406609 + ... + 454151.

It is an arithmetic number, because the mean of its divisors is an integer number (663951960).

Almost surely, 220461556340 is an apocalyptic number.

20461556340 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 20461556340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31869694080).

20461556340 is an abundant number, since it is smaller than the sum of its proper divisors (43277831820).

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

20461556340 is a wasteful number, since it uses less digits than its factorization.

20461556340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48358 (or 48350 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 20461556340 in words is "twenty billion, four hundred sixty-one million, five hundred fifty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 797 1594 2391 3188 3985 4782 7173 7970 9564 11955 14346 15940 21519 23910 28692 35865 43038 47543 47820 71730 86076 95086 107595 142629 143460 190172 215190 237715 285258 427887 430380 475430 570516 713145 855774 950860 1283661 1426290 1711548 2139435 2567322 2852580 4278870 5134644 6418305 8557740 12836610 25673220 37891771 75783542 113675313 151567084 189458855 227350626 341025939 378917710 454701252 568376565 682051878 757835420 1023077817 1136753130 1364103756 1705129695 2046155634 2273506260 3410259390 4092311268 5115389085 6820518780 10230778170 20461556340