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2661073392 = 243103631853
BaseRepresentation
bin1001111010011100…
…1100000111110000
320212110021112102210
42132213030013300
520422213322032
61120020012120
7122641515315
oct23647140760
96773245383
102661073392
11114611990a
12623231040
13335407653
141b35bcd0c
151089462cc
hex9e9cc1f0

2661073392 has 80 divisors (see below), whose sum is σ = 6960332288. Its totient is φ = 875992320.

The previous prime is 2661073391. The next prime is 2661073399. The reversal of 2661073392 is 2933701662.

2661073392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×26610733922 = 14162623195220771328, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2661073392.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2661073391) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3119238 + ... + 3120090.

Almost surely, 22661073392 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 2661073392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3480166144).

2661073392 is an abundant number, since it is smaller than the sum of its proper divisors (4299258896).

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

2661073392 is a wasteful number, since it uses less digits than its factorization.

2661073392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1598 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 39.

The square root of 2661073392 is about 51585.5928724290. The cubic root of 2661073392 is about 1385.7523300347.

The spelling of 2661073392 in words is "two billion, six hundred sixty-one million, seventy-three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 103 206 309 412 618 631 824 853 1236 1262 1648 1706 1893 2472 2524 2559 3412 3786 4944 5048 5118 6824 7572 10096 10236 13648 15144 20472 30288 40944 64993 87859 129986 175718 194979 259972 263577 351436 389958 519944 527154 538243 702872 779916 1039888 1054308 1076486 1405744 1559832 1614729 2108616 2152972 3119664 3229458 4217232 4305944 6458916 8611888 12917832 25835664 55439029 110878058 166317087 221756116 332634174 443512232 665268348 887024464 1330536696 2661073392