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2062268064 = 253259121367
BaseRepresentation
bin111101011101011…
…1011011010100000
312022201112001221200
41322322323122200
513210420034224
6540345321200
7102050663223
oct17272733240
95281461850
102062268064
1196910757a
12496796200
1326b33977c
14157c675ba
15c10b25c9
hex7aebb6a0

2062268064 has 72 divisors (see below), whose sum is σ = 5964023520. Its totient is φ = 675765888.

The previous prime is 2062268063. The next prime is 2062268069. The reversal of 2062268064 is 4608622602.

2062268064 is a `hidden beast` number, since 20 + 622 + 6 + 8 + 0 + 6 + 4 = 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 not an unprimeable number, because it can be changed into a prime (2062268063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43692 + ... + 77675.

It is an arithmetic number, because the mean of its divisors is an integer number (82833660).

Almost surely, 22062268064 is an apocalyptic number.

2062268064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2062268064 is an abundant number, since it is smaller than the sum of its proper divisors (3901755456).

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

2062268064 is a wasteful number, since it uses less digits than its factorization.

2062268064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121442 (or 121431 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2062268064 is about 45412.2017083515. The cubic root of 2062268064 is about 1272.8631260647.

The spelling of 2062268064 in words is "two billion, sixty-two million, two hundred sixty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 72 96 118 144 177 236 288 354 472 531 708 944 1062 1416 1888 2124 2832 4248 5664 8496 16992 121367 242734 364101 485468 728202 970936 1092303 1456404 1941872 2184606 2912808 3883744 4369212 5825616 7160653 8738424 11651232 14321306 17476848 21481959 28642612 34953696 42963918 57285224 64445877 85927836 114570448 128891754 171855672 229140896 257783508 343711344 515567016 687422688 1031134032 2062268064