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2980557312 = 2938921803
BaseRepresentation
bin1011000110100111…
…1011001000000000
321200201102222222120
42301221323020000
522101010313222
61211431404240
7133601214315
oct26151731000
97621388876
102980557312
11129a4a0907
126b2223680
133866679a5
14203bc4d0c
15126a0315c
hexb1a7b200

2980557312 has 80 divisors (see below), whose sum is σ = 8029977120. Its totient is φ = 982310912.

The previous prime is 2980557287. The next prime is 2980557319. The reversal of 2980557312 is 2137550892.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2980557319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125803 + ... + 147605.

It is an arithmetic number, because the mean of its divisors is an integer number (100374714).

Almost surely, 22980557312 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 2980557312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4014988560).

2980557312 is an abundant number, since it is smaller than the sum of its proper divisors (5049419808).

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

2980557312 is an equidigital number, since it uses as much as digits as its factorization.

2980557312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21913 (or 21897 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 2980557312 is about 54594.4806001486. The cubic root of 2980557312 is about 1439.1271253236.

The spelling of 2980557312 in words is "two billion, nine hundred eighty million, five hundred fifty-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 128 178 192 256 267 356 384 512 534 712 768 1068 1424 1536 2136 2848 4272 5696 8544 11392 17088 21803 22784 34176 43606 45568 65409 68352 87212 130818 136704 174424 261636 348848 523272 697696 1046544 1395392 1940467 2093088 2790784 3880934 4186176 5581568 5821401 7761868 8372352 11163136 11642802 15523736 16744704 23285604 31047472 33489408 46571208 62094944 93142416 124189888 186284832 248379776 372569664 496759552 745139328 993519104 1490278656 2980557312