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2972130336 = 253271474271
BaseRepresentation
bin1011000100100111…
…0001110000100000
321200010120212100100
42301021301300200
522041331132321
61210531022400
7133436456010
oct26111616040
97603525310
102972130336
11129576556a
126ab43aa00
133849a7106
14202a2dc40
15125ddb326
hexb1271c20

2972130336 has 72 divisors (see below), whose sum is σ = 9659430144. Its totient is φ = 849179520.

The previous prime is 2972130307. The next prime is 2972130341. The reversal of 2972130336 is 6330312792.

2972130336 is a `hidden beast` number, since 297 + 2 + 1 + 30 + 336 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2972130336.

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, 735120 + ... + 739151.

It is an arithmetic number, because the mean of its divisors is an integer number (134158752).

Almost surely, 22972130336 is an apocalyptic number.

It is an amenable number.

2972130336 is an abundant number, since it is smaller than the sum of its proper divisors (6687299808).

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

2972130336 is a wasteful number, since it uses less digits than its factorization.

2972130336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1474294 (or 1474283 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 2972130336 is about 54517.2480596737. The cubic root of 2972130336 is about 1437.7695562657.

The spelling of 2972130336 in words is "two billion, nine hundred seventy-two million, one hundred thirty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 1474271 2948542 4422813 5897084 8845626 10319897 11794168 13268439 17691252 20639794 23588336 26536878 30959691 35382504 41279588 47176672 53073756 61919382 70765008 82559176 92879073 106147512 123838764 141530016 165118352 185758146 212295024 247677528 330236704 371516292 424590048 495355056 743032584 990710112 1486065168 2972130336