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11294218416 = 2431323975731
BaseRepresentation
bin10101000010011000…
…00001100010110000
31002011010001202000210
422201030001202300
5141112304442131
65104414144120
7546611162325
oct124114014260
932133052023
1011294218416
114876323508
1222324b2040
1310acb7c9a0
14791dbab4c
1546180a146
hex2a13018b0

11294218416 has 80 divisors (see below), whose sum is σ = 31552980480. Its totient is φ = 3460558080.

The previous prime is 11294218387. The next prime is 11294218421. The reversal of 11294218416 is 61481249211.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111271 + ... + 187001.

It is an arithmetic number, because the mean of its divisors is an integer number (394412256).

Almost surely, 211294218416 is an apocalyptic number.

11294218416 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 11294218416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15776490240).

11294218416 is an abundant number, since it is smaller than the sum of its proper divisors (20258762064).

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

11294218416 is a wasteful number, since it uses less digits than its factorization.

11294218416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75994 (or 75988 counting only the distinct ones).

The product of its digits is 27648, while the sum is 39.

The spelling of 11294218416 in words is "eleven billion, two hundred ninety-four million, two hundred eighteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 239 312 478 624 717 956 1434 1912 2868 3107 3824 5736 6214 9321 11472 12428 18642 24856 37284 49712 74568 75731 149136 151462 227193 302924 454386 605848 908772 984503 1211696 1817544 1969006 2953509 3635088 3938012 5907018 7876024 11814036 15752048 18099709 23628072 36199418 47256144 54299127 72398836 108598254 144797672 217196508 235296217 289595344 434393016 470592434 705888651 868786032 941184868 1411777302 1882369736 2823554604 3764739472 5647109208 11294218416