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1979342976 = 27313439221
BaseRepresentation
bin111010111111010…
…0110000010000000
312002221111001010010
41311332212002000
513023202433401
6524224104520
7100023065142
oct16576460200
95087431103
101979342976
11926318746
12472a65140
132570c3b80
1414ac3cc92
15b8b81ed6
hex75fa6080

1979342976 has 128 divisors (see below), whose sum is σ = 5794367040. Its totient is φ = 594800640.

The previous prime is 1979342971. The next prime is 1979342977. The reversal of 1979342976 is 6792439791.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (1979342971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210046 + ... + 219266.

Almost surely, 21979342976 is an apocalyptic number.

1979342976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1979342976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2897183520).

1979342976 is an abundant number, since it is smaller than the sum of its proper divisors (3815024064).

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

1979342976 is a wasteful number, since it uses less digits than its factorization.

1979342976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9294 (or 9282 counting only the distinct ones).

The product of its digits is 5143824, while the sum is 57.

The square root of 1979342976 is about 44489.8075518427. The cubic root of 1979342976 is about 1255.5683263738.

The spelling of 1979342976 in words is "one billion, nine hundred seventy-nine million, three hundred forty-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 43 48 52 64 78 86 96 104 128 129 156 172 192 208 258 312 344 384 416 516 559 624 688 832 1032 1118 1248 1376 1664 1677 2064 2236 2496 2752 3354 4128 4472 4992 5504 6708 8256 8944 9221 13416 16512 17888 18442 26832 27663 35776 36884 53664 55326 71552 73768 107328 110652 119873 147536 214656 221304 239746 295072 359619 396503 442608 479492 590144 719238 793006 885216 958984 1180288 1189509 1438476 1586012 1770432 1917968 2379018 2876952 3172024 3540864 3835936 4758036 5154539 5753904 6344048 7671872 9516072 10309078 11507808 12688096 15343744 15463617 19032144 20618156 23015616 25376192 30927234 38064288 41236312 46031232 50752384 61854468 76128576 82472624 123708936 152257152 164945248 247417872 329890496 494835744 659780992 989671488 1979342976