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19881105348 = 223131995871091
BaseRepresentation
bin10010100001000000…
…011001011111000100
31220022112210210110010
4102201000121133010
5311204030332343
613044441030220
71302446415156
oct224100313704
956275723403
1019881105348
118482402785
123a2a185370
131b4ab79b80
14d685b6ad6
157b55d2d33
hex4a10197c4

19881105348 has 96 divisors (see below), whose sum is σ = 50340326400. Its totient is φ = 6070584960.

The previous prime is 19881105337. The next prime is 19881105359. The reversal of 19881105348 is 84350118891.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (19881105337) and next prime (19881105359).

It is a super-2 number, since 2×198811053482 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 19881105297 and 19881105306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18222283 + ... + 18223373.

It is an arithmetic number, because the mean of its divisors is an integer number (524378400).

Almost surely, 219881105348 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 19881105348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25170163200).

19881105348 is an abundant number, since it is smaller than the sum of its proper divisors (30459221052).

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

19881105348 is a wasteful number, since it uses less digits than its factorization.

19881105348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1897 (or 1895 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 48.

The spelling of 19881105348 in words is "nineteen billion, eight hundred eighty-one million, one hundred five thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 199 398 587 597 796 1091 1174 1194 1761 2182 2348 2388 2587 3273 3522 4364 5174 6546 7044 7631 7761 10348 13092 14183 15262 15522 22893 28366 30524 31044 42549 45786 56732 85098 91572 116813 170196 217109 233626 350439 434218 467252 640417 651327 700878 868436 1280834 1302654 1401756 1518569 1921251 2561668 2605308 2822417 3037138 3842502 4555707 5644834 6074276 7685004 8325421 8467251 9111414 11289668 16650842 16934502 18222828 24976263 33301684 33869004 49952526 99905052 127442983 254885966 382328949 509771932 764657898 1529315796 1656758779 3313517558 4970276337 6627035116 9940552674 19881105348