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19148768212 = 22723716131637
BaseRepresentation
bin10001110101010110…
…110000001111010100
31211102111210012202111
4101311112300033110
5303204041040322
612444040320404
71245344562400
oct216526601724
954374705674
1019148768212
118136a86a82
123864a73104
131a62227aa2
14cd9222100
15771174177
hex4755b03d4

19148768212 has 72 divisors (see below), whose sum is σ = 40084264584. Its totient is φ = 7974989568.

The previous prime is 19148768203. The next prime is 19148768263. The reversal of 19148768212 is 21286784191.

It can be written as a sum of positive squares in 4 ways, for example, as 2609779396 + 16538988816 = 51086^2 + 128604^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11696658 + ... + 11698294.

It is an arithmetic number, because the mean of its divisors is an integer number (556725897).

Almost surely, 219148768212 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 19148768212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20042132292).

19148768212 is an abundant number, since it is smaller than the sum of its proper divisors (20935496372).

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

19148768212 is a wasteful number, since it uses less digits than its factorization.

19148768212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3305 (or 3296 counting only the distinct ones).

The product of its digits is 387072, while the sum is 49.

The spelling of 19148768212 in words is "nineteen billion, one hundred forty-eight million, seven hundred sixty-eight thousand, two hundred twelve".

Divisors: 1 2 4 7 14 28 37 49 74 98 148 196 259 518 1036 1613 1637 1813 3226 3274 3626 6452 6548 7252 11291 11459 22582 22918 45164 45836 59681 60569 79037 80213 119362 121138 158074 160426 238724 242276 316148 320852 417767 423983 835534 847966 1671068 1695932 2640481 2924369 2967881 5280962 5848738 5935762 10561924 11697476 11871524 18483367 36966734 73933468 97697797 129383569 195395594 258767138 390791188 517534276 683884579 1367769158 2735538316 4787192053 9574384106 19148768212