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148194282816 = 2632318299411
BaseRepresentation
bin1000101000000100010…
…0010100110101000000
3112011111220200120120100
42022001010110311000
54412000214022231
6152025101442400
713464251422446
oct2120104246500
9464456616510
10148194282816
115793789a0a8
1224879b70400
1310c8943a058
14725ba2ab96
153cc52e71e6
hex2281114d40

148194282816 has 84 divisors (see below), whose sum is σ = 438474534784. Its totient is φ = 47804601600.

The previous prime is 148194282793. The next prime is 148194282833. The reversal of 148194282816 is 618282491841.

148194282816 is a `hidden beast` number, since 1 + 481 + 9 + 4 + 2 + 82 + 81 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4131850 + ... + 4167561.

Almost surely, 2148194282816 is an apocalyptic number.

148194282816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

148194282816 is an abundant number, since it is smaller than the sum of its proper divisors (290280251968).

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

148194282816 is a wasteful number, since it uses less digits than its factorization.

148194282816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8299460 (or 8299447 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 54.

The spelling of 148194282816 in words is "one hundred forty-eight billion, one hundred ninety-four million, two hundred eighty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 144 186 192 248 279 288 372 496 558 576 744 992 1116 1488 1984 2232 2976 4464 5952 8928 17856 8299411 16598822 24898233 33197644 49796466 66395288 74694699 99592932 132790576 149389398 199185864 257281741 265581152 298778796 398371728 514563482 531162304 597557592 771845223 796743456 1029126964 1195115184 1543690446 1593486912 2058253928 2315535669 2390230368 3087380892 4116507856 4631071338 4780460736 6174761784 8233015712 9262142676 12349523568 16466031424 18524285352 24699047136 37048570704 49398094272 74097141408 148194282816