Search a number
-
+
10073434816 = 26181869599
BaseRepresentation
bin10010110000110110…
…00110101011000000
3222000000221111202101
421120123012223000
5131112244403231
64343324400144
7504425532424
oct113033065300
928000844671
1010073434816
1142aa211745
121b516a6054
13c46c8c523
146b7bdab84
153de566661
hex2586c6ac0

10073434816 has 28 divisors (see below), whose sum is σ = 20099934400. Its totient is φ = 5008884480.

The previous prime is 10073434781. The next prime is 10073434817. The reversal of 10073434816 is 61843437001.

It is not an unprimeable number, because it can be changed into a prime (10073434817) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 423216 + ... + 446383.

It is an arithmetic number, because the mean of its divisors is an integer number (717854800).

Almost surely, 210073434816 is an apocalyptic number.

10073434816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10073434816 is a deficient number, since it is larger than the sum of its proper divisors (10026499584).

10073434816 is an equidigital number, since it uses as much as digits as its factorization.

10073434816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869792 (or 869782 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

It can be divided in two parts, 10073 and 434816, that added together give a square (444889 = 6672).

The spelling of 10073434816 in words is "ten billion, seventy-three million, four hundred thirty-four thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 64 181 362 724 1448 2896 5792 11584 869599 1739198 3478396 6956792 13913584 27827168 55654336 157397419 314794838 629589676 1259179352 2518358704 5036717408 10073434816