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11033337680 = 2452918792531
BaseRepresentation
bin10100100011010001…
…10101111101010000
31001110221011121221022
422101220311331100
5140044013301210
65022454415012
7540262552151
oct122150657520
931427147838
1011033337680
1147520389a2
12217b061468
13106aaca8a1
147694ab928
15448977155
hex291a35f50

11033337680 has 80 divisors (see below), whose sum is σ = 26561692800. Its totient is φ = 4257200640.

The previous prime is 11033337673. The next prime is 11033337701. The reversal of 11033337680 is 8673333011.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 11033337680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4358015 + ... + 4360545.

It is an arithmetic number, because the mean of its divisors is an integer number (332021160).

Almost surely, 211033337680 is an apocalyptic number.

11033337680 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 11033337680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13280846400).

11033337680 is an abundant number, since it is smaller than the sum of its proper divisors (15528355120).

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

11033337680 is a wasteful number, since it uses less digits than its factorization.

11033337680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4452 (or 4446 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 35.

The spelling of 11033337680 in words is "eleven billion, thirty-three million, three hundred thirty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 1879 2320 2531 3758 5062 7516 9395 10124 12655 15032 18790 20248 25310 30064 37580 40496 50620 54491 73399 75160 101240 108982 146798 150320 202480 217964 272455 293596 366995 435928 544910 587192 733990 871856 1089820 1174384 1467980 2179640 2935960 4359280 4755749 5871920 9511498 19022996 23778745 38045992 47557490 76091984 95114980 137916721 190229960 275833442 380459920 551666884 689583605 1103333768 1379167210 2206667536 2758334420 5516668840 11033337680