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19140098508 = 22322347948259
BaseRepresentation
bin10001110100110101…
…101011100111001100
31211101220110202011100
4101310311223213030
5303144331123013
612443130423100
71245211103316
oct216465534714
954356422140
1019140098508
1181320a5333
123861b91a90
131a604b089b
14cd80067b6
15770510473
hex474d6b9cc

19140098508 has 72 divisors (see below), whose sum is σ = 50591923200. Its totient is φ = 6089773536.

The previous prime is 19140098507. The next prime is 19140098521. The reversal of 19140098508 is 80589004191.

19140098508 is a `hidden beast` number, since 19 + 1 + 40 + 0 + 98 + 508 = 666.

It is not an unprimeable number, because it can be changed into a prime (19140098503) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 372483 + ... + 420741.

It is an arithmetic number, because the mean of its divisors is an integer number (702665600).

Almost surely, 219140098508 is an apocalyptic number.

19140098508 is a gapful number since it is divisible by the number (18) 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 19140098508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25295961600).

19140098508 is an abundant number, since it is smaller than the sum of its proper divisors (31451824692).

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

19140098508 is a wasteful number, since it uses less digits than its factorization.

19140098508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48771 (or 48766 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 19140098508 in words is "nineteen billion, one hundred forty million, ninety-eight thousand, five hundred eight".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 479 828 958 1437 1916 2874 4311 5748 8622 11017 17244 22034 33051 44068 48259 66102 96518 99153 132204 144777 193036 198306 289554 396612 434331 579108 868662 1109957 1737324 2219914 3329871 4439828 6659742 9989613 13319484 19979226 23116061 39958452 46232122 69348183 92464244 138696366 208044549 277392732 416089098 531669403 832178196 1063338806 1595008209 2126677612 3190016418 4785024627 6380032836 9570049254 19140098508