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149742136278 = 232753137163673
BaseRepresentation
bin1000101101110101010…
…0111010101111010110
3112022111210020200100100
42023131110322233112
54423132441330103
6152442433354530
713550515104660
oct2133524725726
9468453220310
10149742136278
1158561594339
1225030408a46
1311175015687
147367429530
153d661455a3
hex22dd53abd6

149742136278 has 96 divisors (see below), whose sum is σ = 380545978176. Its totient is φ = 41669581824.

The previous prime is 149742136277. The next prime is 149742136279. The reversal of 149742136278 is 872631247941.

149742136278 is a `hidden beast` number, since 1 + 4 + 9 + 7 + 4 + 2 + 1 + 3 + 627 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (149742136277) and next prime (149742136279).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149742136277) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 833050 + ... + 996722.

It is an arithmetic number, because the mean of its divisors is an integer number (3964020606).

Almost surely, 2149742136278 is an apocalyptic number.

149742136278 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 149742136278, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190272989088).

149742136278 is an abundant number, since it is smaller than the sum of its proper divisors (230803841898).

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

149742136278 is a wasteful number, since it uses less digits than its factorization.

149742136278 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163878 (or 163875 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The spelling of 149742136278 in words is "one hundred forty-nine billion, seven hundred forty-two million, one hundred thirty-six thousand, two hundred seventy-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 53 63 106 126 137 159 274 318 371 411 477 742 822 954 959 1113 1233 1918 2226 2466 2877 3339 5754 6678 7261 8631 14522 17262 21783 43566 50827 65349 101654 130698 152481 163673 304962 327346 457443 491019 914886 982038 1145711 1473057 2291422 2946114 3437133 6874266 8674669 10311399 17349338 20622798 22423201 26024007 44846402 52048014 60722683 67269603 78072021 121445366 134539206 156144042 156962407 182168049 201808809 313924814 364336098 403617618 470887221 546504147 941774442 1093008294 1188429653 1412661663 2376859306 2825323326 3565288959 7130577918 8319007571 10695866877 16638015142 21391733754 24957022713 49914045426 74871068139 149742136278