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4492213632 = 273221118481
BaseRepresentation
bin1000010111100000…
…11011110110000000
3102121001220002121200
410023300123312000
533200001314012
62021431421200
7216215120514
oct41360336600
912531802550
104492213632
1119a5812655
12a54524800
135678ab69a
14308880144
151b45a13dc
hex10bc1bd80

4492213632 has 96 divisors (see below), whose sum is σ = 12988779960. Its totient is φ = 1490227200.

The previous prime is 4492213619. The next prime is 4492213717. The reversal of 4492213632 is 2363122944.

4492213632 is a `hidden beast` number, since 4 + 4 + 9 + 2 + 2 + 13 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 233832 + ... + 252312.

Almost surely, 24492213632 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 4492213632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6494389980).

4492213632 is an abundant number, since it is smaller than the sum of its proper divisors (8496566328).

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

4492213632 is a wasteful number, since it uses less digits than its factorization.

4492213632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18712 (or 18697 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 4492213632 is about 67023.9780377142. The cubic root of 4492213632 is about 1650.0108517193.

The spelling of 4492213632 in words is "four billion, four hundred ninety-two million, two hundred thirteen thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 211 288 384 422 576 633 844 1152 1266 1688 1899 2532 3376 3798 5064 6752 7596 10128 13504 15192 18481 20256 27008 30384 36962 40512 55443 60768 73924 81024 110886 121536 147848 166329 221772 243072 295696 332658 443544 591392 665316 887088 1182784 1330632 1774176 2365568 2661264 3548352 3899491 5322528 7096704 7798982 10645056 11698473 15597964 21290112 23396946 31195928 35095419 46793892 62391856 70190838 93587784 124783712 140381676 187175568 249567424 280763352 374351136 499134848 561526704 748702272 1123053408 1497404544 2246106816 4492213632