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2002283379 = 323719013163
BaseRepresentation
bin111011101011000…
…0110101101110011
312011112122112102200
41313112012231303
513100041032004
6530403514243
7100422061605
oct16726065563
95145575380
102002283379
11938267158
1247a688983
1325ba96785
1414dcd1175
15babb4239
hex77586b73

2002283379 has 24 divisors (see below), whose sum is σ = 2972856432. Its totient is φ = 1297684800.

The previous prime is 2002283351. The next prime is 2002283383. The reversal of 2002283379 is 9733822002.

2002283379 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 283 + 379 = 666.

It is not a de Polignac number, because 2002283379 - 28 = 2002283123 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2002283389) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 631452 + ... + 634614.

It is an arithmetic number, because the mean of its divisors is an integer number (123869018).

Almost surely, 22002283379 is an apocalyptic number.

2002283379 is a deficient number, since it is larger than the sum of its proper divisors (970573053).

2002283379 is a wasteful number, since it uses less digits than its factorization.

2002283379 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5107 (or 5104 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2002283379 is about 44746.8812209298. The cubic root of 2002283379 is about 1260.4003470828.

The spelling of 2002283379 in words is "two billion, two million, two hundred eighty-three thousand, three hundred seventy-nine".

Divisors: 1 3 9 37 111 333 1901 3163 5703 9489 17109 28467 70337 117031 211011 351093 633033 1053279 6012863 18038589 54115767 222475931 667427793 2002283379