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10345295696 = 243124315647
BaseRepresentation
bin10011010001010000…
…01010111101010000
3222200222111110202212
421220220022331100
5132141343430241
64430315331252
7514236363641
oct115050127520
928628443685
1010345295696
11442971685a
122008750b28
13c8b3b7358
14701d676c8
15408367beb
hex268a0af50

10345295696 has 60 divisors (see below), whose sum is σ = 21194464896. Its totient is φ = 4889062080.

The previous prime is 10345295689. The next prime is 10345295699. The reversal of 10345295696 is 69659254301.

It is a super-2 number, since 2×103452956962 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10345295699) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 653345 + ... + 668991.

Almost surely, 210345295696 is an apocalyptic number.

10345295696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10345295696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10597232448).

10345295696 is an abundant number, since it is smaller than the sum of its proper divisors (10849169200).

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

10345295696 is a wasteful number, since it uses less digits than its factorization.

10345295696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15760 (or 15723 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 50.

The spelling of 10345295696 in words is "ten billion, three hundred forty-five million, two hundred ninety-five thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 31 43 62 86 124 172 248 344 496 688 961 1333 1922 2666 3844 5332 7688 10664 15376 15647 21328 31294 41323 62588 82646 125176 165292 250352 330584 485057 661168 672821 970114 1345642 1940228 2691284 3880456 5382568 7760912 10765136 15036767 20857451 30073534 41714902 60147068 83429804 120294136 166859608 240588272 333719216 646580981 1293161962 2586323924 5172647848 10345295696