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920979661231 = 71967103353121
BaseRepresentation
bin11010110011011101010…
…10100110000110101111
310021001012122201022001101
431121232222212012233
5110042131243124411
61543031530223531
7123352506645430
oct15315652460657
93231178638041
10920979661231
113256490108a3
1212a5aa284ba7
1368b040cc536
143280b843487
1518e542ac8c1
hexd66eaa61af

920979661231 has 16 divisors (see below), whose sum is σ = 1124481967360. Its totient is φ = 736701039360.

The previous prime is 920979661211. The next prime is 920979661249. The reversal of 920979661231 is 132166979029.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 920979661231 - 211 = 920979659183 is a prime.

It is a super-2 number, since 2×9209796612312 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (920979661211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51667650 + ... + 51685471.

It is an arithmetic number, because the mean of its divisors is an integer number (70280122960).

Almost surely, 2920979661231 is an apocalyptic number.

920979661231 is a deficient number, since it is larger than the sum of its proper divisors (203502306129).

920979661231 is a wasteful number, since it uses less digits than its factorization.

920979661231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103353214.

The product of its (nonzero) digits is 2204496, while the sum is 55.

The spelling of 920979661231 in words is "nine hundred twenty billion, nine hundred seventy-nine million, six hundred sixty-one thousand, two hundred thirty-one".

Divisors: 1 7 19 67 133 469 1273 8911 103353121 723471847 1963709299 6924659107 13745965093 48472613749 131568523033 920979661231