Search a number
-
+
22673884348368 = 2434116765336353
BaseRepresentation
bin1010010011111001011001…
…10100100111111111010000
32222021121020222121012020000
411021330230310213333100
510432442103343121433
6120120123315250000
74530063664000311
oct511745464477720
988247228535200
1022673884348368
117251a38675950
122662425ba9900
13c861a45aaa26
145855c9814608
15294bee320113
hex149f2cd27fd0

22673884348368 has 400 divisors, whose sum is σ = 72772479781056. Its totient is φ = 6757772820480.

The previous prime is 22673884348253. The next prime is 22673884348411. The reversal of 22673884348368 is 86384348837622.

22673884348368 is a `hidden beast` number, since 2 + 2 + 6 + 7 + 3 + 8 + 84 + 3 + 483 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 22673884348296 and 22673884348305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 623696080 + ... + 623732432.

Almost surely, 222673884348368 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 22673884348368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36386239890528).

22673884348368 is an abundant number, since it is smaller than the sum of its proper divisors (50098595432688).

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

22673884348368 is a wasteful number, since it uses less digits than its factorization.

22673884348368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37104 (or 37089 counting only the distinct ones).

The product of its digits is 1783627776, while the sum is 72.

The spelling of 22673884348368 in words is "twenty-two trillion, six hundred seventy-three billion, eight hundred eighty-four million, three hundred forty-eight thousand, three hundred sixty-eight".