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20400917823 = 3411131992699
BaseRepresentation
bin10010111111111111…
…010100110100111111
31221122202221000010000
4102333333110310333
5313240113332243
613212210245343
71321360640346
oct227777246477
957582830100
1020400917823
118719871570
123b54286853
131c0177ac10
14db7648b5d
157e60615d3
hex4bffd4d3f

20400917823 has 80 divisors (see below), whose sum is σ = 37688112000. Its totient is φ = 10812294720.

The previous prime is 20400917783. The next prime is 20400917839. The reversal of 20400917823 is 32871900402.

It is not a de Polignac number, because 20400917823 - 26 = 20400917759 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20400917843) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 173728 + ... + 266426.

It is an arithmetic number, because the mean of its divisors is an integer number (471101400).

Almost surely, 220400917823 is an apocalyptic number.

20400917823 is a deficient number, since it is larger than the sum of its proper divisors (17287194177).

20400917823 is a wasteful number, since it uses less digits than its factorization.

20400917823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92754 (or 92745 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 20400917823 in words is "twenty billion, four hundred million, nine hundred seventeen thousand, eight hundred twenty-three".

Divisors: 1 3 9 11 13 19 27 33 39 57 81 99 117 143 171 209 247 297 351 429 513 627 741 891 1053 1287 1539 1881 2223 2717 3861 5643 6669 8151 11583 16929 20007 24453 73359 92699 220077 278097 834291 1019689 1205087 1761281 2502873 3059067 3615261 5283843 7508619 9177201 10845783 13255957 15851529 19374091 22896653 27531603 32537349 39767871 47554587 58122273 68689959 82594809 97612047 119303613 142663761 174366819 206069877 251863183 357910839 523100457 618209631 755589549 1073732517 1569301371 1854628893 2266768647 6800305941 20400917823