Search a number
-
+
12952334800 = 245264350359
BaseRepresentation
bin11000001000000010…
…01111000111010000
31020102200002210002201
430010001033013100
5203011244203200
65541125252544
7635654013016
oct140401170720
936380083081
1012952334800
115547289929
122615864154
1312b5553242
148ac2bc8b6
1550c188c6a
hex30404f1d0

12952334800 has 60 divisors (see below), whose sum is σ = 31166998240. Its totient is φ = 5172773760.

The previous prime is 12952334783. The next prime is 12952334807. The reversal of 12952334800 is 843325921.

It is a self number, because there is not a number n which added to its sum of digits gives 12952334800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12952334807) 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, 232021 + ... + 282379.

Almost surely, 212952334800 is an apocalyptic number.

12952334800 is a gapful number since it is divisible by the number (10) 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 12952334800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15583499120).

12952334800 is an abundant number, since it is smaller than the sum of its proper divisors (18214663440).

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

12952334800 is a wasteful number, since it uses less digits than its factorization.

12952334800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51020 (or 51009 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 12952334800 in words is "twelve billion, nine hundred fifty-two million, three hundred thirty-four thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 643 1286 2572 3215 5144 6430 10288 12860 16075 25720 32150 50359 51440 64300 100718 128600 201436 251795 257200 402872 503590 805744 1007180 1258975 2014360 2517950 4028720 5035900 10071800 20143600 32380837 64761674 129523348 161904185 259046696 323808370 518093392 647616740 809520925 1295233480 1619041850 2590466960 3238083700 6476167400 12952334800