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149819868 = 223411127331
BaseRepresentation
bin10001110111000…
…01000111011100
3101102220122020000
420323201013130
5301323213433
622511054300
73466306422
oct1073410734
9342818200
10149819868
1177629980
1242211390
1325067c13
1415c7d112
15d246113
hex8ee11dc

149819868 has 120 divisors (see below), whose sum is σ = 431929344. Its totient is φ = 44906400.

The previous prime is 149819867. The next prime is 149819881. The reversal of 149819868 is 868918941.

149819868 is a `hidden beast` number, since 1 + 498 + 1 + 98 + 68 = 666.

149819868 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149819867) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 452463 + ... + 452793.

Almost surely, 2149819868 is an apocalyptic number.

149819868 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 149819868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215964672).

149819868 is an abundant number, since it is smaller than the sum of its proper divisors (282109476).

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

149819868 is a wasteful number, since it uses less digits than its factorization.

149819868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 474 counting only the distinct ones).

The product of its digits is 995328, while the sum is 54.

The square root of 149819868 is about 12240.0926467082. The cubic root of 149819868 is about 531.1165118266.

The spelling of 149819868 in words is "one hundred forty-nine million, eight hundred nineteen thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 127 132 162 198 254 297 324 331 381 396 508 594 662 762 891 993 1143 1188 1324 1397 1524 1782 1986 2286 2794 2979 3429 3564 3641 3972 4191 4572 5588 5958 6858 7282 8382 8937 10287 10923 11916 12573 13716 14564 16764 17874 20574 21846 25146 26811 32769 35748 37719 41148 42037 43692 50292 53622 65538 75438 84074 98307 107244 113157 126111 131076 150876 168148 196614 226314 252222 294921 378333 393228 452628 462407 504444 589842 756666 924814 1134999 1179684 1387221 1513332 1849628 2269998 2774442 3404997 4161663 4539996 5548884 6809994 8323326 12484989 13619988 16646652 24969978 37454967 49939956 74909934 149819868