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2678769216 = 263237125693
BaseRepresentation
bin1001111110101010…
…1100011001000000
320220200120120112200
42133222230121000
520441231103331
61121451153200
7123245106534
oct23752543100
96820516480
102678769216
111155105a62
12629145800
13338c92056
141b5aa7bc4
1510a28e5e6
hex9faac640

2678769216 has 84 divisors (see below), whose sum is σ = 7885790172. Its totient is φ = 868783104.

The previous prime is 2678769211. The next prime is 2678769227. The reversal of 2678769216 is 6129678762.

It can be written as a sum of positive squares in 2 ways, for example, as 2125578816 + 553190400 = 46104^2 + 23520^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2678769211) 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, 41535 + ... + 84158.

Almost surely, 22678769216 is an apocalyptic number.

It is an amenable number.

2678769216 is an abundant number, since it is smaller than the sum of its proper divisors (5207020956).

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

2678769216 is a wasteful number, since it uses less digits than its factorization.

2678769216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125748 (or 125735 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 2678769216 is about 51756.8277234994. The cubic root of 2678769216 is about 1388.8172427549.

The spelling of 2678769216 in words is "two billion, six hundred seventy-eight million, seven hundred sixty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 144 148 192 222 288 296 333 444 576 592 666 888 1184 1332 1776 2368 2664 3552 5328 7104 10656 21312 125693 251386 377079 502772 754158 1005544 1131237 1508316 2011088 2262474 3016632 4022176 4524948 4650641 6033264 8044352 9049896 9301282 12066528 13951923 18099792 18602564 24133056 27903846 36199584 37205128 41855769 55807692 72399168 74410256 83711538 111615384 148820512 167423076 223230768 297641024 334846152 446461536 669692304 892923072 1339384608 2678769216