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6980933106 = 2337162711351
BaseRepresentation
bin1101000000001100…
…01001010111110010
3200000111212010221000
412200012021113302
5103244104324411
63112413342430
7334664644440
oct64006112762
920014763830
106980933106
112a62611404
121429a97a16
1387338b464
144a31d5b90
152accee956
hex1a01895f2

6980933106 has 64 divisors (see below), whose sum is σ = 17741813760. Its totient is φ = 1993150800.

The previous prime is 6980933081. The next prime is 6980933117. The reversal of 6980933106 is 6013390896.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 609331 + ... + 620681.

It is an arithmetic number, because the mean of its divisors is an integer number (277215840).

Almost surely, 26980933106 is an apocalyptic number.

6980933106 is an abundant number, since it is smaller than the sum of its proper divisors (10760880654).

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

6980933106 is a wasteful number, since it uses less digits than its factorization.

6980933106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12996 (or 12990 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 6980933106 is about 83551.9784684959. The cubic root of 6980933106 is about 1911.1927626555.

The spelling of 6980933106 in words is "six billion, nine hundred eighty million, nine hundred thirty-three thousand, one hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 1627 3254 4881 9762 11351 11389 14643 22702 22778 29286 34053 34167 43929 68106 68334 79457 87858 102159 102501 158914 204318 205002 238371 306477 307503 476742 612954 615006 715113 1430226 2145339 4290678 18468077 36936154 55404231 110808462 129276539 166212693 258553078 332425386 387829617 498638079 775659234 997276158 1163488851 2326977702 3490466553 6980933106