Search a number
-
+
108531719946 = 232133491132859
BaseRepresentation
bin110010100010011111…
…1101001111100001010
3101101010202120121210100
41211010333221330022
53234233110014241
6121505255230230
710561342253406
oct1450477517412
9341122517710
10108531719946
1142034365621
121904b078376
13a308262740
1453781ba106
152c532669b6
hex1944fe9f0a

108531719946 has 48 divisors (see below), whose sum is σ = 253315127520. Its totient is φ = 33384558240.

The previous prime is 108531719887. The next prime is 108531719963. The reversal of 108531719946 is 649917135801.

108531719946 is a `hidden beast` number, since 1 + 0 + 8 + 531 + 7 + 19 + 94 + 6 = 666.

108531719946 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 108531719892 and 108531719901.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 750465 + ... + 883323.

It is an arithmetic number, because the mean of its divisors is an integer number (5277398490).

Almost surely, 2108531719946 is an apocalyptic number.

108531719946 is an abundant number, since it is smaller than the sum of its proper divisors (144783407574).

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

108531719946 is a wasteful number, since it uses less digits than its factorization.

108531719946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136371 (or 136368 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 108531719946 in words is "one hundred eight billion, five hundred thirty-one million, seven hundred nineteen thousand, nine hundred forty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 3491 6982 10473 20946 31419 45383 62838 90766 132859 136149 265718 272298 398577 408447 797154 816894 1195731 1727167 2391462 3454334 5181501 10363002 15544503 31089006 463810769 927621538 1391432307 2782864614 4174296921 6029539997 8348593842 12059079994 18088619991 36177239982 54265859973 108531719946