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16211955946914 = 23271383291188307
BaseRepresentation
bin1110101111101010001111…
…1000000001010110100010
32010101211220002021112002200
43223322203320001112202
54111104041210300124
654251400355354030
73262163244600540
oct353724370012642
963354802245080
1016211955946914
1151904a753a532
121999b9b2b2916
13907a1c7b6690
1440093cc30d90
151d1a9bcbcbc9
hexebea3e015a2

16211955946914 has 96 divisors (see below), whose sum is σ = 43237109435520. Its totient is φ = 4275163742976.

The previous prime is 16211955946903. The next prime is 16211955946919. The reversal of 16211955946914 is 41964955911261.

16211955946914 is a `hidden beast` number, since 1 + 6 + 2 + 1 + 1 + 9 + 559 + 4 + 69 + 14 = 666.

16211955946914 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×162119559469142 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (16211955946919) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13048749 + ... + 14237055.

It is an arithmetic number, because the mean of its divisors is an integer number (450386556620).

Almost surely, 216211955946914 is an apocalyptic number.

16211955946914 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

16211955946914 is an abundant number, since it is smaller than the sum of its proper divisors (27025153488606).

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

16211955946914 is a wasteful number, since it uses less digits than its factorization.

16211955946914 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196664 (or 1196661 counting only the distinct ones).

The product of its digits is 20995200, while the sum is 63.

The spelling of 16211955946914 in words is "sixteen trillion, two hundred eleven billion, nine hundred fifty-five million, nine hundred forty-six thousand, nine hundred fourteen".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 546 819 1638 8329 16658 24987 49974 58303 74961 108277 116606 149922 174909 216554 324831 349818 524727 649662 757939 974493 1049454 1188307 1515878 1948986 2273817 2376614 3564921 4547634 6821451 7129842 8318149 10694763 13642902 15447991 16636298 21389526 24954447 30895982 46343973 49908894 74863341 92687946 108135937 139031919 149726682 216271874 278063838 324407811 648815622 973223433 1946446866 9897409003 19794818006 29692227009 59384454018 69281863021 89076681027 128666317039 138563726042 178153362054 207845589063 257332634078 385998951117 415691178126 623536767189 771997902234 900664219273 1157996853351 1247073534378 1801328438546 2315993706702 2701992657819 5403985315638 8105977973457 16211955946914