Search a number
-
+
194444466048 = 2732724112657
BaseRepresentation
bin1011010100010111001…
…0110001011110000000
3200120220011120022121200
42311011302301132000
511141210240403143
6225154311421200
720022341456010
oct2650562613600
9616804508550
10194444466048
1175510917328
1231827084800
131544a363291
1495a832dc40
1550d08851d3
hex2d45cb1780

194444466048 has 96 divisors (see below), whose sum is σ = 639467690160. Its totient is φ = 55555559424.

The previous prime is 194444466019. The next prime is 194444466059. The reversal of 194444466048 is 840664444491.

194444466048 is a `hidden beast` number, since 194 + 4 + 4 + 446 + 6 + 0 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 194444465985 and 194444466003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12048265 + ... + 12064392.

Almost surely, 2194444466048 is an apocalyptic number.

194444466048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

194444466048 is an abundant number, since it is smaller than the sum of its proper divisors (445023224112).

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

194444466048 is a wasteful number, since it uses less digits than its factorization.

194444466048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24112684 (or 24112669 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 194444466048 in words is "one hundred ninety-four billion, four hundred forty-four million, four hundred sixty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 24112657 48225314 72337971 96450628 144675942 168788599 192901256 217013913 289351884 337577198 385802512 434027826 506365797 578703768 675154396 771605024 868055652 1012731594 1157407536 1350308792 1519097391 1543210048 1736111304 2025463188 2314815072 2700617584 3038194782 3086420096 3472222608 4050926376 4629630144 5401235168 6076389564 6944445216 8101852752 9259260288 10802470336 12152779128 13888890432 16203705504 21604940672 24305558256 27777780864 32407411008 48611116512 64814822016 97222233024 194444466048