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2173812816 = 243717337397
BaseRepresentation
bin1000000110010001…
…1100000001010000
312121111102010120210
42001210130001100
513422444002231
6555412204120
7104604050460
oct20144340120
95544363523
102173812816
11a1607381a
12508009640
13288492c96
141689c1ba0
15cac97a46
hex8191c050

2173812816 has 80 divisors (see below), whose sum is σ = 6455193984. Its totient is φ = 617482752.

The previous prime is 2173812811. The next prime is 2173812881. The reversal of 2173812816 is 6182183712.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2173812811) 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, 39430 + ... + 76826.

Almost surely, 22173812816 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 2173812816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3227596992).

2173812816 is an abundant number, since it is smaller than the sum of its proper divisors (4281381168).

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

2173812816 is a wasteful number, since it uses less digits than its factorization.

2173812816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37588 (or 37582 counting only the distinct ones).

The product of its digits is 32256, while the sum is 39.

The square root of 2173812816 is about 46624.1655796648. The cubic root of 2173812816 is about 1295.4104066360.

The spelling of 2173812816 in words is "two billion, one hundred seventy-three million, eight hundred twelve thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 173 336 346 519 692 1038 1211 1384 2076 2422 2768 3633 4152 4844 7266 8304 9688 14532 19376 29064 37397 58128 74794 112191 149588 224382 261779 299176 448764 523558 598352 785337 897528 1047116 1570674 1795056 2094232 3141348 4188464 6282696 6469681 12565392 12939362 19409043 25878724 38818086 45287767 51757448 77636172 90575534 103514896 135863301 155272344 181151068 271726602 310544688 362302136 543453204 724604272 1086906408 2173812816