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5979795948 = 22337210632
BaseRepresentation
bin1011001000110110…
…00111000111101100
3120102202001002221000
411210123013013230
544221311432243
62425211440300
7301120266300
oct54433070754
916382032830
105979795948
112599491225
1211aa756090
13743b437c9
1440a26dd00
1524ee965d3
hex1646c71ec

5979795948 has 108 divisors (see below), whose sum is σ = 18051286680. Its totient is φ = 1706905872.

The previous prime is 5979795931. The next prime is 5979795953. The reversal of 5979795948 is 8495979795.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (108).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5624865 + ... + 5625927.

Almost surely, 25979795948 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5979795948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9025643340).

5979795948 is an abundant number, since it is smaller than the sum of its proper divisors (12071490732).

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

5979795948 is a wasteful number, since it uses less digits than its factorization.

5979795948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2153 (or 1075 counting only the distinct ones).

The product of its digits is 257191200, while the sum is 72.

The square root of 5979795948 is about 77329.1403547201. The cubic root of 5979795948 is about 1815.0786770074.

The spelling of 5979795948 in words is "five billion, nine hundred seventy-nine million, seven hundred ninety-five thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1063 1323 1764 2126 2646 3189 4252 5292 6378 7441 9567 12756 14882 19134 22323 28701 29764 38268 44646 52087 57402 66969 89292 104174 114804 133938 156261 200907 208348 267876 312522 401814 468783 625044 803628 937566 1129969 1406349 1875132 2259938 2812698 3389907 4519876 5625396 6779814 7909783 10169721 13559628 15819566 20339442 23729349 30509163 31639132 40678884 47458698 55368481 61018326 71188047 94917396 110736962 122036652 142376094 166105443 213564141 221473924 284752188 332210886 427128282 498316329 664421772 854256564 996632658 1494948987 1993265316 2989897974 5979795948