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19820957226 = 2377333119531
BaseRepresentation
bin10010011101011010…
…111100111000101010
31220011100121221201220
4102131122330320222
5311043131112401
613034451522510
71301116233210
oct223532747052
956140557656
1019820957226
118451460594
123a11bb9436
131b3b57a675
14d605dacb0
157b01a1336
hex49d6bce2a

19820957226 has 64 divisors (see below), whose sum is σ = 46066768896. Its totient is φ = 5568393600.

The previous prime is 19820957209. The next prime is 19820957257. The reversal of 19820957226 is 62275902891.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1005081 + ... + 1024611.

It is an arithmetic number, because the mean of its divisors is an integer number (719793264).

Almost surely, 219820957226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19820957226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23033384448).

19820957226 is an abundant number, since it is smaller than the sum of its proper divisors (26245811670).

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

19820957226 is a wasteful number, since it uses less digits than its factorization.

19820957226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19947.

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 19820957226 in words is "nineteen billion, eight hundred twenty million, nine hundred fifty-seven thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 42 73 146 219 331 438 511 662 993 1022 1533 1986 2317 3066 4634 6951 13902 19531 24163 39062 48326 58593 72489 117186 136717 144978 169141 273434 338282 410151 507423 820302 1014846 1425763 2851526 4277289 6464761 8554578 9980341 12929522 19394283 19960682 29941023 38788566 45253327 59882046 90506654 135759981 271519962 471927553 943855106 1415782659 2831565318 3303492871 6606985742 9910478613 19820957226