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3213313956 = 2233179718043
BaseRepresentation
bin1011111110000111…
…0100011110100100
322021221102021002000
42333201310132210
523040102021311
61250504245300
7142425501156
oct27741643644
98257367060
103213313956
1113a9917376
12758170830
133c2950908
14226a92ad6
1513c17d056
hexbf8747a4

3213313956 has 96 divisors (see below), whose sum is σ = 8912292480. Its totient is φ = 997650432.

The previous prime is 3213313913. The next prime is 3213313963. The reversal of 3213313956 is 6593133123.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3213313956.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169071 + ... + 187113.

It is an arithmetic number, because the mean of its divisors is an integer number (92836380).

Almost surely, 23213313956 is an apocalyptic number.

3213313956 is a gapful number since it is divisible by the number (36) 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 3213313956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4456146240).

3213313956 is an abundant number, since it is smaller than the sum of its proper divisors (5698978524).

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

3213313956 is a wasteful number, since it uses less digits than its factorization.

3213313956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18170 (or 18162 counting only the distinct ones).

The product of its digits is 43740, while the sum is 36.

The square root of 3213313956 is about 56686.1002010193. The cubic root of 3213313956 is about 1475.6534813488.

The spelling of 3213313956 in words is "three billion, two hundred thirteen million, three hundred thirteen thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 97 102 108 153 194 204 291 306 388 459 582 612 873 918 1164 1649 1746 1836 2619 3298 3492 4947 5238 6596 9894 10476 14841 18043 19788 29682 36086 44523 54129 59364 72172 89046 108258 162387 178092 216516 306731 324774 487161 613462 649548 920193 974322 1226924 1750171 1840386 1948644 2760579 3500342 3680772 5250513 5521158 7000684 8281737 10501026 11042316 15751539 16563474 21002052 29752907 31503078 33126948 47254617 59505814 63006156 89258721 94509234 119011628 178517442 189018468 267776163 357034884 535552326 803328489 1071104652 1606656978 3213313956