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11774324016 = 2432713193131
BaseRepresentation
bin10101111011100110…
…11110110100110000
31010101120110122002200
422331303132310300
5143103211332031
65224204343200
7564531050160
oct127563366460
933346418080
1011774324016
114aa23319a4
122347244b00
13115848a740
147d9a745a0
1548da438e6
hex2bdcded30

11774324016 has 480 divisors, whose sum is σ = 43135572480. Its totient is φ = 2919421440.

The previous prime is 11774323987. The next prime is 11774324053. The reversal of 11774324016 is 61042347711.

11774324016 is a `hidden beast` number, since 1 + 177 + 432 + 40 + 16 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89880271 + ... + 89880401.

It is an arithmetic number, because the mean of its divisors is an integer number (89865776).

Almost surely, 211774324016 is an apocalyptic number.

11774324016 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 11774324016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21567786240).

11774324016 is an abundant number, since it is smaller than the sum of its proper divisors (31361248464).

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

11774324016 is a wasteful number, since it uses less digits than its factorization.

11774324016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

It can be divided in two parts, 11774 and 324016, that added together give a triangular number (335790 = T819).

The spelling of 11774324016 in words is "eleven billion, seven hundred seventy-four million, three hundred twenty-four thousand, sixteen".