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14921915490 = 23252913941131
BaseRepresentation
bin11011110010110101…
…00101110001100010
31102111221012211212200
431321122211301202
5221030002243430
610504404234030
71035531121536
oct157132456142
942457184780
1014921915490
116368039a69
122a8539b916
13153a6097c1
14a17ad9bc6
155c503d460
hex3796a5c62

14921915490 has 96 divisors (see below), whose sum is σ = 40424529600. Its totient is φ = 3814231680.

The previous prime is 14921915471. The next prime is 14921915521. The reversal of 14921915490 is 9451912941.

14921915490 is a `hidden beast` number, since 1 + 4 + 92 + 19 + 1 + 549 + 0 = 666.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 342225 + ... + 383355.

It is an arithmetic number, because the mean of its divisors is an integer number (421088850).

Almost surely, 214921915490 is an apocalyptic number.

14921915490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14921915490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20212264800).

14921915490 is an abundant number, since it is smaller than the sum of its proper divisors (25502614110).

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

14921915490 is a wasteful number, since it uses less digits than its factorization.

14921915490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41312 (or 41309 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 14921915490 in words is "fourteen billion, nine hundred twenty-one million, nine hundred fifteen thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 139 145 174 261 278 290 417 435 522 695 834 870 1251 1305 1390 2085 2502 2610 4031 4170 6255 8062 12093 12510 20155 24186 36279 40310 41131 60465 72558 82262 120930 123393 181395 205655 246786 362790 370179 411310 616965 740358 1192799 1233930 1850895 2385598 3578397 3701790 5717209 5963995 7156794 10735191 11434418 11927990 17151627 17891985 21470382 28586045 34303254 35783970 51454881 53675955 57172090 85758135 102909762 107351910 165799061 171516270 257274405 331598122 497397183 514548810 828995305 994794366 1492191549 1657990610 2486985915 2984383098 4973971830 7460957745 14921915490