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2663100816 = 243238329063
BaseRepresentation
bin1001111010111011…
…1011000110010000
320212121002112112120
42132232323012100
520423223211231
61120131254240
7122664661215
oct23656730620
96777075476
102663100816
111147284072
12623a4a380
133359673cc
141b3989b0c
15108be6d96
hex9ebbb190

2663100816 has 80 divisors (see below), whose sum is σ = 7265534976. Its totient is φ = 838845568.

The previous prime is 2663100799. The next prime is 2663100859. The reversal of 2663100816 is 6180013662.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77101 + ... + 106163.

Almost surely, 22663100816 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 2663100816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3632767488).

2663100816 is an abundant number, since it is smaller than the sum of its proper divisors (4602434160).

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

2663100816 is a wasteful number, since it uses less digits than its factorization.

2663100816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29180 (or 29174 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 2663100816 is about 51605.2401990341. The cubic root of 2663100816 is about 1386.1041672967.

The spelling of 2663100816 in words is "two billion, six hundred sixty-three million, one hundred thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 83 92 138 166 184 249 276 332 368 498 552 664 996 1104 1328 1909 1992 3818 3984 5727 7636 11454 15272 22908 29063 30544 45816 58126 87189 91632 116252 174378 232504 348756 465008 668449 697512 1336898 1395024 2005347 2412229 2673796 4010694 4824458 5347592 7236687 8021388 9648916 10695184 14473374 16042776 19297832 28946748 32085552 38595664 55481267 57893496 110962534 115786992 166443801 221925068 332887602 443850136 665775204 887700272 1331550408 2663100816