Search a number
-
+
22081372468650 = 235521119232913037
BaseRepresentation
bin1010000010101001110000…
…10111001011010110101010
32220011221212210222001200000
411001110320113023112222
510343240122322444100
6114544013101323430
74436216665056615
oct501247027132652
986157783861600
1022081372468650
117043726109a10
122587626b66576
13c4235910c231
14564a5bc6d17c
152845c1a89900
hex1415385cb5aa

22081372468650 has 1152 divisors, whose sum is σ = 76267418572800. Its totient is φ = 4683198643200.

The previous prime is 22081372468643. The next prime is 22081372468681. The reversal of 22081372468650 is 5686427318022.

22081372468650 is a `hidden beast` number, since 2 + 20 + 81 + 37 + 2 + 468 + 6 + 50 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1693739932 + ... + 1693752968.

It is an arithmetic number, because the mean of its divisors is an integer number (66204356400).

Almost surely, 222081372468650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22081372468650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38133709286400).

22081372468650 is an abundant number, since it is smaller than the sum of its proper divisors (54186046104150).

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

22081372468650 is a wasteful number, since it uses less digits than its factorization.

22081372468650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13146 (or 13129 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 22081372468650 in words is "twenty-two trillion, eighty-one billion, three hundred seventy-two million, four hundred sixty-eight thousand, six hundred fifty".