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149415180948 = 2232111921045183
BaseRepresentation
bin1000101100100111010…
…1101011101010010100
3112021200000000121221200
42023021311223222110
54422000241242243
6152350153512500
713536435040305
oct2131165535224
9467600017850
10149415180948
1158403a79a20
1224b5aa12730
131112236a697
147335c3a7ac
153d475aead3
hex22c9d6ba94

149415180948 has 108 divisors (see below), whose sum is σ = 434850893568. Its totient is φ = 42894269280.

The previous prime is 149415180923. The next prime is 149415180953. The reversal of 149415180948 is 849081514941.

149415180948 is a `hidden beast` number, since 1 + 4 + 9 + 415 + 180 + 9 + 48 = 666.

149415180948 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 149415180894 and 149415180903.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 379636 + ... + 665547.

Almost surely, 2149415180948 is an apocalyptic number.

149415180948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

149415180948 is an abundant number, since it is smaller than the sum of its proper divisors (285435712620).

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

149415180948 is a wasteful number, since it uses less digits than its factorization.

149415180948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045242 (or 1045218 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 149415180948 in words is "one hundred forty-nine billion, four hundred fifteen million, one hundred eighty thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 132 171 198 209 228 342 361 396 418 627 684 722 836 1083 1254 1444 1881 2166 2508 3249 3762 3971 4332 6498 7524 7942 11913 12996 15884 23826 35739 47652 71478 142956 1045183 2090366 3135549 4180732 6271098 9406647 11497013 12542196 18813294 19858477 22994026 34491039 37626588 39716954 45988052 59575431 68982078 79433908 103473117 119150862 137964156 178726293 206946234 218443247 238301724 357452586 377311063 413892468 436886494 655329741 714905172 754622126 873772988 1131933189 1310659482 1509244252 1965989223 2263866378 2621318964 3395799567 3931978446 4150421693 4527732756 6791599134 7863956892 8300843386 12451265079 13583198268 16601686772 24902530158 37353795237 49805060316 74707590474 149415180948