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2978107216 = 247255710399
BaseRepresentation
bin1011000110000010…
…0100111101010000
321200112211112002021
42301200210331100
522044343412331
61211303101224
7133541331220
oct26140447520
97615745067
102978107216
111299078037
126b1441814
13385cba726
14203748080
151266bc211
hexb1824f50

2978107216 has 40 divisors (see below), whose sum is σ = 6597593600. Its totient is φ = 1275709824.

The previous prime is 2978107213. The next prime is 2978107217. The reversal of 2978107216 is 6127018792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2978107213) 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, 281185 + ... + 291583.

It is an arithmetic number, because the mean of its divisors is an integer number (164939840).

Almost surely, 22978107216 is an apocalyptic number.

It is an amenable number.

2978107216 is an abundant number, since it is smaller than the sum of its proper divisors (3619486384).

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

2978107216 is a wasteful number, since it uses less digits than its factorization.

2978107216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12971 (or 12965 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 43.

The square root of 2978107216 is about 54572.0369420090. The cubic root of 2978107216 is about 1438.7326838551.

The spelling of 2978107216 in words is "two billion, nine hundred seventy-eight million, one hundred seven thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 56 112 2557 5114 10228 10399 17899 20456 20798 35798 40912 41596 71596 72793 83192 143192 145586 166384 286384 291172 582344 1164688 26590243 53180486 106360972 186131701 212721944 372263402 425443888 744526804 1489053608 2978107216