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21945691796931 = 327714906257947
BaseRepresentation
bin1001111110101101000010…
…01010011111010111000011
32212200222122222211210102100
410333112201022133113003
510334024234100000211
6114401413413521443
74423344462304260
oct477264112372703
985628588753370
1021945691796931
116aa112a995071
12256527b943283
13c326153761b6
1455c26a15a267
15280cd0169156
hex13f5a129f5c3

21945691796931 has 24 divisors (see below), whose sum is σ = 36738059514624. Its totient is φ = 12363770023920.

The previous prime is 21945691796869. The next prime is 21945691796969. The reversal of 21945691796931 is 13969719654912.

21945691796931 is a `hidden beast` number, since 2 + 19 + 4 + 569 + 17 + 9 + 6 + 9 + 31 = 666.

It is not a de Polignac number, because 21945691796931 - 223 = 21945683408323 is a prime.

It is a super-2 number, since 2×219456917969312 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21945691796931.

It is not an unprimeable number, because it can be changed into a prime (21945691796981) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2453124501 + ... + 2453133446.

It is an arithmetic number, because the mean of its divisors is an integer number (1530752479776).

Almost surely, 221945691796931 is an apocalyptic number.

21945691796931 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21945691796931 is a deficient number, since it is larger than the sum of its proper divisors (14792367717693).

21945691796931 is a wasteful number, since it uses less digits than its factorization.

21945691796931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4906258031 (or 4906258028 counting only the distinct ones).

The product of its digits is 198404640, while the sum is 72.

The spelling of 21945691796931 in words is "twenty-one trillion, nine hundred forty-five billion, six hundred ninety-one million, seven hundred ninety-six thousand, nine hundred thirty-one".

Divisors: 1 3 7 9 21 63 71 213 497 639 1491 4473 4906257947 14718773841 34343805629 44156321523 103031416887 309094250661 348344314237 1045032942711 2438410199659 3135098828133 7315230598977 21945691796931