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3201195096 = 2332115968507
BaseRepresentation
bin1011111011001110…
…0101110001011000
322021002121120010100
42332303211301120
523024001220341
61245352415400
7142220465211
oct27663456130
98232546110
103201195096
1113a2a9a290
127540a7560
133c02997a8
1422521a408
1513b0873b6
hexbece5c58

3201195096 has 96 divisors (see below), whose sum is σ = 9618523200. Its totient is φ = 953603520.

The previous prime is 3201195059. The next prime is 3201195113. The reversal of 3201195096 is 6905911023.

3201195096 is a `hidden beast` number, since 32 + 0 + 119 + 509 + 6 = 666.

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 3201195096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12475 + ... + 80981.

It is an arithmetic number, because the mean of its divisors is an integer number (100192950).

Almost surely, 23201195096 is an apocalyptic number.

3201195096 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 3201195096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4809261600).

3201195096 is an abundant number, since it is smaller than the sum of its proper divisors (6417328104).

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

3201195096 is a wasteful number, since it uses less digits than its factorization.

3201195096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68589 (or 68582 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 3201195096 is about 56579.1047649218. The cubic root of 3201195096 is about 1473.7960254280.

The spelling of 3201195096 in words is "three billion, two hundred one million, one hundred ninety-five thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 59 66 72 88 99 118 132 177 198 236 264 354 396 472 531 649 708 792 1062 1298 1416 1947 2124 2596 3894 4248 5192 5841 7788 11682 15576 23364 46728 68507 137014 205521 274028 411042 548056 616563 753577 822084 1233126 1507154 1644168 2260731 2466252 3014308 4041913 4521462 4932504 6028616 6782193 8083826 9042924 12125739 13564386 16167652 18085848 24251478 27128772 32335304 36377217 44461043 48502956 54257544 72754434 88922086 97005912 133383129 145508868 177844172 266766258 291017736 355688344 400149387 533532516 800298774 1067065032 1600597548 3201195096