Search a number
-
+
22137391991521 = 1722767672
BaseRepresentation
bin1010000100010010000110…
…11000101100101011100001
32220101022110220120200022101
411002021003120230223201
510400144334322212041
6115025435534210401
74443242132132002
oct502110330545341
986338426520271
1022137391991521
117065462727654
12259645b953a01
13c47715cc1bc1
14567653c111a9
15285c9eb21b31
hex14224362cae1

22137391991521 has 9 divisors (see below), whose sum is σ = 23516276460499. Its totient is φ = 20835117181984.

The previous prime is 22137391991509. The next prime is 22137391991569. The reversal of 22137391991521 is 12519919373122.

The square root of 22137391991521 is 4705039.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 17234993765025 + 4902398226496 = 4151505^2 + 2214136^2 .

It is not a de Polignac number, because 22137391991521 - 29 = 22137391991009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22137391991501) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 79847280 + ... + 80124046.

Almost surely, 222137391991521 is an apocalyptic number.

22137391991521 is the 4705039-th square number.

22137391991521 is the 2352520-th centered octagonal number.

It is an amenable number.

22137391991521 is a deficient number, since it is larger than the sum of its proper divisors (1378884468978).

22137391991521 is an frugal number, since it uses more digits than its factorization.

22137391991521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553568 (or 276784 counting only the distinct ones).

The product of its digits is 1837080, while the sum is 55.

The spelling of 22137391991521 in words is "twenty-two trillion, one hundred thirty-seven billion, three hundred ninety-one million, nine hundred ninety-one thousand, five hundred twenty-one".

Divisors: 1 17 289 276767 4705039 79985663 76599972289 1302199528913 22137391991521