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2155512942 = 2321123503941
BaseRepresentation
bin1000000001111010…
…1000010001101110
312120012222101212200
42000132220101232
513403302403232
6553520042330
7104262362202
oct20036502156
95505871780
102155512942
11a06804860
12501a633a6
1328475665b
141663bab02
15c938077c
hex807a846e

2155512942 has 96 divisors (see below), whose sum is σ = 5332594176. Its totient is φ = 622881600.

The previous prime is 2155512941. The next prime is 2155512971. The reversal of 2155512942 is 2492155512.

2155512942 is a `hidden beast` number, since 2 + 1 + 55 + 512 + 94 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2155512897 and 2155512906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2155512941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2290192 + ... + 2291132.

It is an arithmetic number, because the mean of its divisors is an integer number (55547856).

Almost surely, 22155512942 is an apocalyptic number.

2155512942 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2155512942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2666297088).

2155512942 is an abundant number, since it is smaller than the sum of its proper divisors (3177081234).

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

2155512942 is a wasteful number, since it uses less digits than its factorization.

2155512942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486 (or 1483 counting only the distinct ones).

The product of its digits is 36000, while the sum is 36.

The square root of 2155512942 is about 46427.5020004307. The cubic root of 2155512942 is about 1291.7650941038.

The spelling of 2155512942 in words is "two billion, one hundred fifty-five million, five hundred twelve thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 138 198 207 253 414 503 506 759 941 1006 1509 1518 1882 2277 2823 3018 4527 4554 5533 5646 8469 9054 10351 11066 11569 16599 16938 20702 21643 23138 31053 33198 34707 43286 49797 62106 64929 69414 93159 99594 104121 127259 129858 186318 194787 208242 238073 254518 381777 389574 473323 476146 714219 763554 946646 1145331 1419969 1428438 2142657 2290662 2839938 4259907 4285314 5206553 8519814 10413106 10886429 15619659 21772858 31239318 32659287 46858977 65318574 93717954 97977861 119750719 195955722 239501438 359252157 718504314 1077756471 2155512942