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11064864700 = 22521912134801
BaseRepresentation
bin10100100111000010…
…00110111110111100
31001120010111100212201
422103201012332330
5140130101132300
65025542241244
7541124540521
oct122341067674
931503440781
1011064864700
11476891168a
122189726224
1310744b8926
1476d757148
1544b60366a
hex293846fbc

11064864700 has 72 divisors (see below), whose sum is σ = 25300585520. Its totient is φ = 4188672000.

The previous prime is 11064864649. The next prime is 11064864703. The reversal of 11064864700 is 746846011.

It is a happy number.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 11064864700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11064864703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2302300 + ... + 2307100.

Almost surely, 211064864700 is an apocalyptic number.

11064864700 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 11064864700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12650292760).

11064864700 is an abundant number, since it is smaller than the sum of its proper divisors (14235720820).

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

11064864700 is a wasteful number, since it uses less digits than its factorization.

11064864700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6047 (or 6040 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The spelling of 11064864700 in words is "eleven billion, sixty-four million, eight hundred sixty-four thousand, seven hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1213 1900 2426 4801 4852 6065 9602 12130 19204 23047 24005 24260 30325 46094 48010 60650 91219 92188 96020 115235 120025 121300 182438 230470 240050 364876 456095 460940 480100 576175 912190 1152350 1824380 2280475 2304700 4560950 5823613 9121900 11647226 23294452 29118065 58236130 110648647 116472260 145590325 221297294 291180650 442594588 553243235 582361300 1106486470 2212972940 2766216175 5532432350 11064864700