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1971901386 = 2327133313637
BaseRepresentation
bin111010110001000…
…1101001111001010
312002102110222011200
41311202031033022
513014301321021
6523400405030
766602612430
oct16542151712
95072428150
101971901386
119220a5774
12470476776
132556b9970
14149c62d50
15b81b2126
hex7588d3ca

1971901386 has 96 divisors (see below), whose sum is σ = 5275740288. Its totient is φ = 518348160.

The previous prime is 1971901369. The next prime is 1971901387. The reversal of 1971901386 is 6831091791.

1971901386 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×19719013862 = 7776790152217441992, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1971901387) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 540360 + ... + 543996.

It is an arithmetic number, because the mean of its divisors is an integer number (54955628).

Almost surely, 21971901386 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1971901386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2637870144).

1971901386 is an abundant number, since it is smaller than the sum of its proper divisors (3303838902).

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

1971901386 is a wasteful number, since it uses less digits than its factorization.

1971901386 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3996 (or 3993 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 1971901386 is about 44406.0962706699. The cubic root of 1971901386 is about 1253.9928610813.

The spelling of 1971901386 in words is "one billion, nine hundred seventy-one million, nine hundred one thousand, three hundred eighty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 331 546 662 819 993 1638 1986 2317 2979 3637 4303 4634 5958 6951 7274 8606 10911 12909 13902 20853 21822 25459 25818 30121 32733 38727 41706 47281 50918 60242 65466 76377 77454 90363 94562 141843 152754 180726 229131 271089 283686 330967 425529 458262 542178 661934 851058 992901 1203847 1985802 2407694 2978703 3611541 5957406 7223082 8426929 10834623 15650011 16853858 21669246 25280787 31300022 46950033 50561574 75842361 93900066 109550077 140850099 151684722 219100154 281700198 328650231 657300462 985950693 1971901386