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48190181931 = 3341113601641
BaseRepresentation
bin101100111000010110…
…111101001000101011
311121101110022212222000
4230320112331020223
51242143141310211
634045510502043
73324124534143
oct547026751053
9147343285860
1048190181931
111948a112a41
12940a964923
13470cb22b68
14249221d923
1513c0a4c656
hexb385bd22b

48190181931 has 64 divisors (see below), whose sum is σ = 74019415680. Its totient is φ = 30965760000.

The previous prime is 48190181917. The next prime is 48190181933. The reversal of 48190181931 is 13918109184.

It is a happy number.

48190181931 is a `hidden beast` number, since 481 + 9 + 0 + 1 + 81 + 93 + 1 = 666.

It is not a de Polignac number, because 48190181931 - 25 = 48190181899 is a prime.

It is a super-2 number, since 2×481901819312 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (48190181933) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 75179371 + ... + 75180011.

It is an arithmetic number, because the mean of its divisors is an integer number (1156553370).

Almost surely, 248190181931 is an apocalyptic number.

48190181931 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

48190181931 is a deficient number, since it is larger than the sum of its proper divisors (25829233749).

48190181931 is a wasteful number, since it uses less digits than its factorization.

48190181931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 45.

The spelling of 48190181931 in words is "forty-eight billion, one hundred ninety million, one hundred eighty-one thousand, nine hundred thirty-one".

Divisors: 1 3 9 27 41 113 123 339 369 601 641 1017 1107 1803 1923 3051 4633 5409 5769 13899 16227 17307 24641 26281 41697 67913 72433 73923 78843 125091 203739 217299 221769 236529 385241 611217 651897 665307 709587 1155723 1833651 1955691 2784433 2969753 3467169 8353299 8909259 10401507 15794881 25059897 26727777 43532233 47384643 75179691 80183331 130596699 142153929 391790097 426461787 1175370291 1784821553 5354464659 16063393977 48190181931