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22014217820412 = 22331711990314717
BaseRepresentation
bin1010000000101100101011…
…01000100001100011111100
32212221112112200122110122000
411000112111220201203330
510341140104230223122
6114453105252222300
74431321561013266
oct500262550414374
985845480573560
1022014217820412
1170181a5060824
12257660500a990
13c38c1631059c
145616cb0c4b36
152829911710ac
hex140595a218fc

22014217820412 has 48 divisors (see below), whose sum is σ = 60431186178720. Its totient is φ = 6906421276416.

The previous prime is 22014217820341. The next prime is 22014217820423. The reversal of 22014217820412 is 21402871241022.

22014217820412 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 4 + 217 + 8 + 20 + 412 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5995155523 + ... + 5995159194.

It is an arithmetic number, because the mean of its divisors is an integer number (1258983045390).

Almost surely, 222014217820412 is an apocalyptic number.

It is an amenable number.

22014217820412 is an abundant number, since it is smaller than the sum of its proper divisors (38416968358308).

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

22014217820412 is a wasteful number, since it uses less digits than its factorization.

22014217820412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11990314747 (or 11990314739 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 22014217820412 in words is "twenty-two trillion, fourteen billion, two hundred seventeen million, eight hundred twenty thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1836 11990314717 23980629434 35970944151 47961258868 71941888302 107912832453 143883776604 203835350189 215825664906 323738497359 407670700378 431651329812 611506050567 647476994718 815341400756 1223012101134 1294953989436 1834518151701 2446024202268 3669036303402 5503554455103 7338072606804 11007108910206 22014217820412