Search a number
-
+
190494836078112 = 2532897431914641
BaseRepresentation
bin101011010100000100001001…
…000010010011011000100000
3220222111010110122210002212100
4223110010021002103120200
5144432031411013444422
61513052041454530400
755060540423126656
oct5324041102233040
9828433418702770
10190494836078112
1155774451859895
1219447213206a00
13823a78048ac57
143507ddbd86dd6
15170531b7487ac
hexad4109093620

190494836078112 has 72 divisors (see below), whose sum is σ = 547806428261820. Its totient is φ = 62784814878720.

The previous prime is 190494836078089. The next prime is 190494836078137. The reversal of 190494836078112 is 211870638494091.

190494836078112 is a `hidden beast` number, since 1 + 9 + 0 + 4 + 9 + 4 + 8 + 3 + 607 + 8 + 1 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 145160954572176 + 45333881505936 = 12048276^2 + 6733044^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1904948360781122 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 190494836078112.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3715931689 + ... + 3715982952.

Almost surely, 2190494836078112 is an apocalyptic number.

190494836078112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

190494836078112 is an abundant number, since it is smaller than the sum of its proper divisors (357311592183708).

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

190494836078112 is a wasteful number, since it uses less digits than its factorization.

190494836078112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7431914746 (or 7431914735 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 190494836078112 in words is "one hundred ninety trillion, four hundred ninety-four billion, eight hundred thirty-six million, seventy-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 89 96 144 178 267 288 356 534 712 801 1068 1424 1602 2136 2848 3204 4272 6408 8544 12816 25632 7431914641 14863829282 22295743923 29727658564 44591487846 59455317128 66887231769 89182975692 118910634256 133774463538 178365951384 237821268512 267548927076 356731902768 535097854152 661440403049 713463805536 1070195708304 1322880806098 1984321209147 2140391416608 2645761612196 3968642418294 5291523224392 5952963627441 7937284836588 10583046448784 11905927254882 15874569673176 21166092897568 23811854509764 31749139346352 47623709019528 63498278692704 95247418039056 190494836078112