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2006390979504 = 243244813109411
BaseRepresentation
bin11101001100100110001…
…110001011101110110000
321002210211211121020200200
4131030212032023232300
5230333042042321004
64133420121515200
7264646144635252
oct35144616135660
97083754536620
102006390979504
117039a644632a
12284a28342b00
13117281633952
146d177595cd2
15372ce0e6239
hex1d32638bbb0

2006390979504 has 60 divisors (see below), whose sum is σ = 5616362987352. Its totient is φ = 668647526400.

The previous prime is 2006390979497. The next prime is 2006390979511. The reversal of 2006390979504 is 4059790936002.

2006390979504 is a `hidden beast` number, since 2 + 0 + 0 + 63 + 9 + 0 + 9 + 79 + 504 = 666.

It is an interprime number because it is at equal distance from previous prime (2006390979497) and next prime (2006390979511).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 909442 + ... + 2199969.

Almost surely, 22006390979504 is an apocalyptic number.

2006390979504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2006390979504 is an abundant number, since it is smaller than the sum of its proper divisors (3609972007848).

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

2006390979504 is a wasteful number, since it uses less digits than its factorization.

2006390979504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3113906 (or 3113897 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 2006390979504 in words is "two trillion, six billion, three hundred ninety million, nine hundred seventy-nine thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 4481 8962 13443 17924 26886 35848 40329 53772 71696 80658 107544 161316 215088 322632 645264 3109411 6218822 9328233 12437644 18656466 24875288 27984699 37312932 49750576 55969398 74625864 111938796 149251728 223877592 447755184 13933270691 27866541382 41799812073 55733082764 83599624146 111466165528 125399436219 167199248292 222932331056 250798872438 334398496584 501597744876 668796993168 1003195489752 2006390979504