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11222144496 = 2432194678783
BaseRepresentation
bin10100111001110010…
…00101010111110000
31001222002110000012100
422130321011113300
5140440332110441
65053321300400
7545044440303
oct123471052760
931862400170
1011222144496
114839676292
122212334700
13109ac661b4
147865b8b3a
1545a31ecb6
hex29ce455f0

11222144496 has 120 divisors (see below), whose sum is σ = 33133950720. Its totient is φ = 3535843968.

The previous prime is 11222144473. The next prime is 11222144537. The reversal of 11222144496 is 69444122211.

11222144496 is a `hidden beast` number, since 1 + 1 + 2 + 22 + 144 + 496 = 666.

11222144496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11222144496.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1273321 + ... + 1282103.

It is an arithmetic number, because the mean of its divisors is an integer number (276116256).

Almost surely, 211222144496 is an apocalyptic number.

11222144496 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 11222144496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16566975360).

11222144496 is an abundant number, since it is smaller than the sum of its proper divisors (21911806224).

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

11222144496 is a wasteful number, since it uses less digits than its factorization.

11222144496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9283 (or 9274 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The spelling of 11222144496 in words is "eleven billion, two hundred twenty-two million, one hundred forty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 467 684 912 934 1368 1401 1868 2736 2802 3736 4203 5604 7472 8406 8783 8873 11208 16812 17566 17746 22416 26349 26619 33624 35132 35492 52698 53238 67248 70264 70984 79047 79857 105396 106476 140528 141968 158094 159714 166877 210792 212952 316188 319428 333754 421584 425904 500631 632376 638856 667508 1001262 1264752 1277712 1335016 1501893 2002524 2670032 3003786 4005048 4101661 6007572 8010096 8203322 12015144 12304983 16406644 24030288 24609966 32813288 36914949 49219932 65626576 73829898 77931559 98439864 147659796 155863118 196879728 233794677 295319592 311726236 467589354 590639184 623452472 701384031 935178708 1246904944 1402768062 1870357416 2805536124 3740714832 5611072248 11222144496