Search a number
-
+
104781164020 = 22513403004477
BaseRepresentation
bin110000110010101110…
…0011010110111110100
3101000110101020122021121
41201211130122313310
53204042434222040
6120045155553324
710366401125131
oct1414534326764
9330411218247
10104781164020
114048a265425
1218382bbb844
139b5b21a690
145100039588
152ad3d65c4a
hex186571adf4

104781164020 has 24 divisors (see below), whose sum is σ = 236966633064. Its totient is φ = 38688429696.

The previous prime is 104781163999. The next prime is 104781164039. The reversal of 104781164020 is 20461187401.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 320338404 + 104460825616 = 17898^2 + 323204^2 .

It is a super-2 number, since 2×1047811640202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 201501979 + ... + 201502498.

It is an arithmetic number, because the mean of its divisors is an integer number (9873609711).

Almost surely, 2104781164020 is an apocalyptic number.

104781164020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104781164020 is an abundant number, since it is smaller than the sum of its proper divisors (132185469044).

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

104781164020 is a wasteful number, since it uses less digits than its factorization.

104781164020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403004499 (or 403004497 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The spelling of 104781164020 in words is "one hundred four billion, seven hundred eighty-one million, one hundred sixty-four thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 403004477 806008954 1612017908 2015022385 4030044770 5239058201 8060089540 10478116402 20956232804 26195291005 52390582010 104781164020