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2142682496 = 27113148139
BaseRepresentation
bin111111110110110…
…1011110110000000
312112022211112210222
41333231223312000
513342011314441
6552341042212
7104045333513
oct17755536600
95468745728
102142682496
119aa541089
124b96b6368
13281bb3686
141647dad7a
15c8198d4b
hex7fb6bd80

2142682496 has 32 divisors (see below), whose sum is σ = 4306429800. Its totient is φ = 1061853184.

The previous prime is 2142682489. The next prime is 2142682511. The reversal of 2142682496 is 6942862412.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

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 3 ways as a sum of consecutive naturals, for example, 59606 + ... + 88533.

Almost surely, 22142682496 is an apocalyptic number.

It is an amenable number.

2142682496 is an abundant number, since it is smaller than the sum of its proper divisors (2163747304).

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

2142682496 is a wasteful number, since it uses less digits than its factorization.

2142682496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148266 (or 148254 counting only the distinct ones).

The product of its digits is 331776, while the sum is 44.

The square root of 2142682496 is about 46289.1185485315. The cubic root of 2142682496 is about 1289.1969634998.

The spelling of 2142682496 in words is "two billion, one hundred forty-two million, six hundred eighty-two thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 113 128 226 452 904 1808 3616 7232 14464 148139 296278 592556 1185112 2370224 4740448 9480896 16739707 18961792 33479414 66958828 133917656 267835312 535670624 1071341248 2142682496