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2976294006 = 23274174051
BaseRepresentation
bin1011000101100110…
…1010010001110110
321200102102101211100
42301121222101312
522043412402011
61211200150530
7133520040000
oct26131522166
97612371740
102976294006
111298049814
126b0908446
1338580431a
142033d5370
1512645ed56
hexb166a476

2976294006 has 120 divisors (see below), whose sum is σ = 7967455704. Its totient is φ = 800150400.

The previous prime is 2976293963. The next prime is 2976294019. The reversal of 2976294006 is 6004926792.

2976294006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 732681 + ... + 736731.

Almost surely, 22976294006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2976294006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3983727852).

2976294006 is an abundant number, since it is smaller than the sum of its proper divisors (4991161698).

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

2976294006 is a wasteful number, since it uses less digits than its factorization.

2976294006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4104 (or 4080 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 2976294006 is about 54555.4214171241. The cubic root of 2976294006 is about 1438.4406354815.

The spelling of 2976294006 in words is "two billion, nine hundred seventy-six million, two hundred ninety-four thousand, six".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 49 51 63 98 102 119 126 147 153 238 294 306 343 357 441 686 714 833 882 1029 1071 1666 2058 2142 2401 2499 3087 4051 4802 4998 5831 6174 7203 7497 8102 11662 12153 14406 14994 17493 21609 24306 28357 34986 36459 40817 43218 52479 56714 68867 72918 81634 85071 104958 122451 137734 170142 198499 206601 244902 255213 367353 396998 413202 482069 510426 595497 619803 734706 964138 1190994 1239606 1389493 1446207 1786491 2778986 2892414 3374483 3572982 4168479 4338621 6748966 8336958 8677242 9726451 10123449 12505437 19452902 20246898 23621381 25010874 29179353 30370347 47242762 58358706 60740694 70864143 87538059 141728286 165349667 175076118 212592429 330699334 425184858 496049001 992098002 1488147003 2976294006