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20931319469412 = 22321117311311933967
BaseRepresentation
bin1001100001001011100111…
…10111001001010101100100
32202010000101122100111000200
410300211303313021111210
510220414320241010122
6112303414310310500
74260144415630602
oct460456367112544
982100348314020
1020931319469412
11673aa17186850
122420768658430
13b8aa795c8961
1452511cdda872
15264711c755ac
hex130973dc9564

20931319469412 has 576 divisors, whose sum is σ = 63913477275648. Its totient is φ = 5701902336000.

The previous prime is 20931319469339. The next prime is 20931319469453. The reversal of 20931319469412 is 21496491313902.

20931319469412 is a `hidden beast` number, since 2 + 0 + 9 + 3 + 131 + 9 + 469 + 41 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5276357853 + ... + 5276361819.

It is an arithmetic number, because the mean of its divisors is an integer number (110960898048).

Almost surely, 220931319469412 is an apocalyptic number.

20931319469412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20931319469412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31956738637824).

20931319469412 is an abundant number, since it is smaller than the sum of its proper divisors (42982157806236).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20931319469412 is a wasteful number, since it uses less digits than its factorization.

20931319469412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4360 (or 4355 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 20931319469412 in words is "twenty trillion, nine hundred thirty-one billion, three hundred nineteen million, four hundred sixty-nine thousand, four hundred twelve".