Search a number
-
+
19918141425 = 3252713274831
BaseRepresentation
bin10010100011001101…
…101011011111110001
31220102010111102101200
4102203031223133301
5311243021011200
613052242521413
71303406260110
oct224315533761
956363442350
1019918141425
1184a12a9506
123a3a666269
131b55746600
14d6d497c77
157b899b800
hex4a336b7f1

19918141425 has 108 divisors (see below), whose sum is σ = 44150281344. Its totient is φ = 8404905600.

The previous prime is 19918141423. The next prime is 19918141457. The reversal of 19918141425 is 52414181991.

It is a happy number.

19918141425 is a `hidden beast` number, since 1 + 9 + 9 + 181 + 41 + 425 = 666.

It is not a de Polignac number, because 19918141425 - 21 = 19918141423 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (19918141423) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 228760 + ... + 303590.

Almost surely, 219918141425 is an apocalyptic number.

19918141425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

19918141425 is an abundant number, since it is smaller than the sum of its proper divisors (24232139919).

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

19918141425 is a wasteful number, since it uses less digits than its factorization.

19918141425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74880 (or 74859 counting only the distinct ones).

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

The spelling of 19918141425 in words is "nineteen billion, nine hundred eighteen million, one hundred forty-one thousand, four hundred twenty-five".

Divisors: 1 3 5 7 9 13 15 21 25 35 39 45 63 65 75 91 105 117 169 175 195 225 273 315 325 455 507 525 585 819 845 975 1183 1365 1521 1575 2275 2535 2925 3549 4095 4225 5915 6825 7605 10647 12675 17745 20475 29575 38025 53235 74831 88725 224493 266175 374155 523817 673479 972803 1122465 1571451 1870775 2619085 2918409 3367395 4714353 4864015 5612325 6809621 7857255 8755227 12646439 13095425 14592045 16836975 20428863 23571765 24320075 34048105 37939317 39286275 43776135 61286589 63232195 72960225 88525073 102144315 113817951 117858825 170240525 189696585 218880675 265575219 306432945 316160975 442625365 510721575 569089755 796725657 948482925 1327876095 1532164725 2213126825 2845448775 3983628285 6639380475 19918141425