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1226364473664 = 26341124614241
BaseRepresentation
bin10001110110001001000…
…001001101000101000000
311100020110110010010210000
4101312021001031011000
5130043043301124124
62335214542440000
7154413312013521
oct21661101150500
94306413103700
101226364473664
11433109857400
12179816b93000
138b851711495
14434dbbb6848
1521d795866c9
hex11d8904d140

1226364473664 has 420 divisors, whose sum is σ = 4005468973044. Its totient is φ = 370732032000.

The previous prime is 1226364473539. The next prime is 1226364473687. The reversal of 1226364473664 is 4663744636221.

1226364473664 is a `hidden beast` number, since 12 + 263 + 6 + 4 + 4 + 7 + 366 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 895748673600 + 330615800064 = 946440^2 + 574992^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1226364473664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 289166584 + ... + 289170824.

Almost surely, 21226364473664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1226364473664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2002734486522).

1226364473664 is an abundant number, since it is smaller than the sum of its proper divisors (2779104499380).

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

1226364473664 is a wasteful number, since it uses less digits than its factorization.

1226364473664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4748 (or 4718 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 54.

The spelling of 1226364473664 in words is "one trillion, two hundred twenty-six billion, three hundred sixty-four million, four hundred seventy-three thousand, six hundred sixty-four".