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2776780072 = 23111011512069
BaseRepresentation
bin1010010110000010…
…0100110100101000
321011112000001011101
42211200210310220
521141323430242
61135312011144
7125545145503
oct24540446450
97145001141
102776780072
1111a5468a70
12655b30ab4
1335338a341
141c4adc13a
15113b9e9b7
hexa5824d28

2776780072 has 64 divisors (see below), whose sum is σ = 5776790400. Its totient is φ = 1240800000.

The previous prime is 2776780067. The next prime is 2776780079. The reversal of 2776780072 is 2700876772.

It is not an unprimeable number, because it can be changed into a prime (2776780079) 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, 1341054 + ... + 1343122.

It is an arithmetic number, because the mean of its divisors is an integer number (90262350).

Almost surely, 22776780072 is an apocalyptic number.

2776780072 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2776780072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2888395200).

2776780072 is an abundant number, since it is smaller than the sum of its proper divisors (3000010328).

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

2776780072 is a wasteful number, since it uses less digits than its factorization.

2776780072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2338 (or 2334 counting only the distinct ones).

The product of its (nonzero) digits is 460992, while the sum is 46.

The square root of 2776780072 is about 52695.1617513411. The cubic root of 2776780072 is about 1405.5527891540.

The spelling of 2776780072 in words is "two billion, seven hundred seventy-six million, seven hundred eighty thousand, seventy-two".

Divisors: 1 2 4 8 11 22 44 88 101 151 202 302 404 604 808 1111 1208 1661 2069 2222 3322 4138 4444 6644 8276 8888 13288 15251 16552 22759 30502 45518 61004 91036 122008 167761 182072 208969 312419 335522 417938 624838 671044 835876 1249676 1342088 1671752 2298659 2499352 3436609 4597318 6873218 9194636 13746436 18389272 27492872 31554319 63108638 126217276 252434552 347097509 694195018 1388390036 2776780072