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1980962064 = 243237092
BaseRepresentation
bin111011000010011…
…0001010100010000
312010001112022002100
41312010301110100
513024111241224
6524322520400
7100042620414
oct16604612420
95101468070
101980962064
11927224134
12473506100
1325753cb03
1414b140d44
15b8da1ac9
hex76131510

1980962064 has 45 divisors (see below), whose sum is σ = 5545437573. Its totient is φ = 660142656.

The previous prime is 1980962057. The next prime is 1980962107. The reversal of 1980962064 is 4602690891.

It is a happy number.

The square root of 1980962064 is 44508.

It is a perfect power (a square), and thus also a powerful number.

1980962064 is a `hidden beast` number, since 19 + 8 + 0 + 9 + 620 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 524776464 + 1456185600 = 22908^2 + 38160^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 532242 + ... + 535950.

Almost surely, 21980962064 is an apocalyptic number.

1980962064 is the 44508-th square number.

It is an amenable number.

1980962064 is an abundant number, since it is smaller than the sum of its proper divisors (3564475509).

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

1980962064 is an frugal number, since it uses more digits than its factorization.

1980962064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7432 (or 3714 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The cubic root of 1980962064 is about 1255.9105816229.

Multiplying 1980962064 by its product of nonzero digits (186624), we get a square (369695064231936 = 192274562).

The spelling of 1980962064 in words is "one billion, nine hundred eighty million, nine hundred sixty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 3709 7418 11127 14836 22254 29672 33381 44508 59344 66762 89016 133524 178032 267048 534096 13756681 27513362 41270043 55026724 82540086 110053448 123810129 165080172 220106896 247620258 330160344 495240516 660320688 990481032 1980962064