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20996162273541 = 371323126156169
BaseRepresentation
bin1001100011000100011001…
…10010110100000100000101
32202100012202122112020010210
410301202030302310010011
510223000120020223131
6112353300452510033
74264631321443020
oct461421462640405
982305678466123
1020996162273541
116765471264274
12243124431b319
13b93c11466400
14528310b121b7
1526625972d146
hex13188ccb4105

20996162273541 has 72 divisors (see below), whose sum is σ = 35798177799360. Its totient is φ = 10717642241280.

The previous prime is 20996162273503. The next prime is 20996162273557. The reversal of 20996162273541 is 14537226169902.

It is not a de Polignac number, because 20996162273541 - 226 = 20996095164677 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20996162273591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 332505 + ... + 6488673.

It is an arithmetic number, because the mean of its divisors is an integer number (497196913880).

Almost surely, 220996162273541 is an apocalyptic number.

20996162273541 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20996162273541 is a deficient number, since it is larger than the sum of its proper divisors (14802015525819).

20996162273541 is a wasteful number, since it uses less digits than its factorization.

20996162273541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6156267 (or 6156223 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 57.

The spelling of 20996162273541 in words is "twenty trillion, nine hundred ninety-six billion, one hundred sixty-two million, two hundred seventy-three thousand, five hundred forty-one".

Divisors: 1 3 7 13 21 31 39 91 93 169 217 273 403 507 651 961 1183 1209 2821 2883 3549 5239 6727 8463 12493 15717 20181 36673 37479 87451 110019 162409 262353 487227 1136863 3410589 6156169 18468507 43093183 80030197 129279549 190841239 240090591 560211379 572523717 1040392561 1335888673 1680634137 2480936107 3121177683 4007666019 5916078409 7282747927 7442808321 17366552749 17748235227 21848243781 32252169391 41412548863 52099658247 76909019317 96756508173 124237646589 225765185737 230727057951 538363135219 677295557211 999817251121 1615089405657 2999451753363 6998720757847 20996162273541