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2745582216 = 2331319146073
BaseRepresentation
bin1010001110100110…
…0100001010001000
321002100022000202020
42203221210022020
521110332112331
61132235204440
7125016030606
oct24351441210
97070260666
102745582216
11118989a613
126475a6720
13349a86080
141c08da876
1511108ac96
hexa3a64288

2745582216 has 64 divisors (see below), whose sum is σ = 7430814720. Its totient is φ = 840353280.

The previous prime is 2745582209. The next prime is 2745582223. The reversal of 2745582216 is 6122855472.

It is an interprime number because it is at equal distance from previous prime (2745582209) and next prime (2745582223).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36556 + ... + 82628.

It is an arithmetic number, because the mean of its divisors is an integer number (116106480).

Almost surely, 22745582216 is an apocalyptic number.

2745582216 is a gapful number since it is divisible by the number (26) 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 2745582216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3715407360).

2745582216 is an abundant number, since it is smaller than the sum of its proper divisors (4685232504).

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

2745582216 is a wasteful number, since it uses less digits than its factorization.

2745582216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46286 (or 46282 counting only the distinct ones).

The product of its digits is 268800, while the sum is 42.

The square root of 2745582216 is about 52398.3035603253. The cubic root of 2745582216 is about 1400.2690326515.

The spelling of 2745582216 in words is "two billion, seven hundred forty-five million, five hundred eighty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 191 312 382 573 764 1146 1528 2292 2483 4584 4966 7449 9932 14898 19864 29796 46073 59592 92146 138219 184292 276438 368584 552876 598949 1105752 1197898 1796847 2395796 3593694 4791592 7187388 8799943 14374776 17599886 26399829 35199772 52799658 70399544 105599316 114399259 211198632 228798518 343197777 457597036 686395554 915194072 1372791108 2745582216