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2991360164624 = 241382917348057
BaseRepresentation
bin101011100001111010111…
…101011100001100010000
3101120222020000220011102022
4223201322331130030100
5343002301200231444
610210113433511012
7426055456603466
oct53417275341420
911528200804368
102991360164624
11a536a0912567
124038b4572468
13189112884590
14a4ad5676836
1552c2aeac9ee
hex2b87af5c310

2991360164624 has 40 divisors (see below), whose sum is σ = 6249117452760. Its totient is φ = 1378962275328.

The previous prime is 2991360164623. The next prime is 2991360164633. The reversal of 2991360164624 is 4264610631992.

2991360164624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 262586554624 + 2728773610000 = 512432^2 + 1651900^2 .

It is a super-2 number, since 2×29913601646242 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2991360164621) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8501597 + ... + 8846460.

It is an arithmetic number, because the mean of its divisors is an integer number (156227936319).

Almost surely, 22991360164624 is an apocalyptic number.

It is an amenable number.

2991360164624 is an abundant number, since it is smaller than the sum of its proper divisors (3257757288136).

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

2991360164624 is a wasteful number, since it uses less digits than its factorization.

2991360164624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17348907 (or 17348901 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 53.

The spelling of 2991360164624 in words is "two trillion, nine hundred ninety-one billion, three hundred sixty million, one hundred sixty-four thousand, six hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 829 1658 3316 6632 10777 13264 21554 43108 86216 172432 17348057 34696114 69392228 138784456 225524741 277568912 451049482 902098964 1804197928 3608395856 14381539253 28763078506 57526157012 115052314024 186960010289 230104628048 373920020578 747840041156 1495680082312 2991360164624