Search a number
-
+
104858073630 = 23253731488911
BaseRepresentation
bin110000110101000000…
…1110011101000011110
3101000122201222001102200
41201222001303220132
53204222131324010
6120100544232330
710401323630322
oct1415201635036
9330581861380
10104858073630
1140519715792
12183a490b6a6
139b7113821b
14510a339982
152ada9a8cc0
hex186a073a1e

104858073630 has 48 divisors (see below), whose sum is σ = 279999405504. Its totient is φ = 27206418240.

The previous prime is 104858073629. The next prime is 104858073637. The reversal of 104858073630 is 36370858401.

104858073630 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 5 + 8 + 0 + 7 + 3 + 630 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104858073637) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 15741126 + ... + 15747785.

It is an arithmetic number, because the mean of its divisors is an integer number (5833320948).

Almost surely, 2104858073630 is an apocalyptic number.

104858073630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

104858073630 is an abundant number, since it is smaller than the sum of its proper divisors (175141331874).

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

104858073630 is a wasteful number, since it uses less digits than its factorization.

104858073630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31488961 (or 31488958 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 104858073630 in words is "one hundred four billion, eight hundred fifty-eight million, seventy-three thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 31488911 62977822 94466733 157444555 188933466 283400199 314889110 472333665 566800398 944667330 1165089707 1417000995 2330179414 2834001990 3495269121 5825448535 6990538242 10485807363 11650897070 17476345605 20971614726 34952691210 52429036815 104858073630