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3197187972 = 22321147283607
BaseRepresentation
bin1011111010010001…
…0011011110000100
322020211001222101100
42332210103132010
523021440003342
61245130500100
7142141435506
oct27644233604
98224058340
103197187972
1113a0802710
12752894630
133bc4c5904
14224895d76
1513aa44e4c
hexbe913784

3197187972 has 144 divisors (see below), whose sum is σ = 9050775552. Its totient is φ = 943323840.

The previous prime is 3197187949. The next prime is 3197187989. The reversal of 3197187972 is 2797817913.

3197187972 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5266893 + ... + 5267499.

It is an arithmetic number, because the mean of its divisors is an integer number (62852608).

Almost surely, 23197187972 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 3197187972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4525387776).

3197187972 is an abundant number, since it is smaller than the sum of its proper divisors (5853587580).

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

3197187972 is a wasteful number, since it uses less digits than its factorization.

3197187972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 953 counting only the distinct ones).

The product of its digits is 1333584, while the sum is 54.

The square root of 3197187972 is about 56543.6819812789. The cubic root of 3197187972 is about 1473.1808229670.

The spelling of 3197187972 in words is "three billion, one hundred ninety-seven million, one hundred eighty-seven thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 47 66 94 99 132 141 188 198 282 283 396 423 517 564 566 607 846 849 1034 1132 1214 1551 1692 1698 1821 2068 2428 2547 3102 3113 3396 3642 4653 5094 5463 6204 6226 6677 7284 9306 9339 10188 10926 12452 13301 13354 18612 18678 20031 21852 26602 26708 28017 28529 37356 39903 40062 53204 56034 57058 60093 79806 80124 85587 112068 114116 119709 120186 146311 159612 171174 171781 239418 240372 256761 292622 313819 342348 343562 438933 478836 513522 515343 585244 627638 687124 877866 941457 1027044 1030686 1255276 1316799 1546029 1755732 1882914 1889591 2061372 2633598 2824371 3092058 3765828 3779182 5267196 5648742 5668773 6184116 7558364 8073707 11297484 11337546 16147414 17006319 22675092 24221121 32294828 34012638 48442242 68025276 72663363 88810777 96884484 145326726 177621554 266432331 290653452 355243108 532864662 799296993 1065729324 1598593986 3197187972