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10104781704 = 2331994123549
BaseRepresentation
bin10010110100100101…
…01011101110001000
3222002012221002121020
421122102223232020
5131143311003304
64350404312440
7505256140653
oct113222535610
928065832536
1010104781704
114315982066
121b600a2720
13c50616594
146bc03a89a
153e21a95d9
hex25a4abb88

10104781704 has 64 divisors (see below), whose sum is σ = 26620920000. Its totient is φ = 3187457280.

The previous prime is 10104781703. The next prime is 10104781717. The reversal of 10104781704 is 40718740101.

It is a super-3 number, since 3×101047817043 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (10104781703) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 417322 + ... + 440870.

It is an arithmetic number, because the mean of its divisors is an integer number (415951875).

Almost surely, 210104781704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10104781704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13310460000).

10104781704 is an abundant number, since it is smaller than the sum of its proper divisors (16516138296).

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

10104781704 is a wasteful number, since it uses less digits than its factorization.

10104781704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24518 (or 24514 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 33.

The spelling of 10104781704 in words is "ten billion, one hundred four million, seven hundred eighty-one thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 941 1882 2823 3764 5646 7528 11292 17879 22584 23549 35758 47098 53637 70647 71516 94196 107274 141294 143032 188392 214548 282588 429096 447431 565176 894862 1342293 1789724 2684586 3579448 5369172 10738344 22159609 44319218 66478827 88638436 132957654 177276872 265915308 421032571 531830616 842065142 1263097713 1684130284 2526195426 3368260568 5052390852 10104781704