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21935920403135 = 5314725431184077
BaseRepresentation
bin1001111110011010110101…
…01111100101001010111111
32212200001110000020120001102
410333031122233211022333
510333344231110400020
6114353120035003315
74422550361651564
oct477153257451277
985601400216042
1021935920403135
116a97a76221302
1225633b343953b
13c31718b4a78b
1455b9c050486b
1528090c3b6475
hex13f35abe52bf

21935920403135 has 32 divisors (see below), whose sum is σ = 27761305485312. Its totient is φ = 16614764979840.

The previous prime is 21935920403083. The next prime is 21935920403183. The reversal of 21935920403135 is 53130402953912.

It is not a de Polignac number, because 21935920403135 - 218 = 21935920140991 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 21935920403135.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17933717 + ... + 19117793.

It is an arithmetic number, because the mean of its divisors is an integer number (867540796416).

Almost surely, 221935920403135 is an apocalyptic number.

21935920403135 is a deficient number, since it is larger than the sum of its proper divisors (5825385082177).

21935920403135 is a wasteful number, since it uses less digits than its factorization.

21935920403135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186703.

The product of its (nonzero) digits is 874800, while the sum is 47.

The spelling of 21935920403135 in words is "twenty-one trillion, nine hundred thirty-five billion, nine hundred twenty million, four hundred three thousand, one hundred thirty-five".

Divisors: 1 5 31 47 155 235 1457 2543 7285 12715 78833 119521 394165 597605 1184077 3705151 5920385 18525755 36706387 55651619 183531935 278258095 1725200189 3011107811 8626000945 15055539055 93344342141 141522067117 466721710705 707610335585 4387184080627 21935920403135