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2039912001 = 3247109151293
BaseRepresentation
bin111100110010110…
…1001011001000001
312021011110021012100
41321211221121001
513134204141001
6534230221013
7101356652211
oct17145513101
95234407170
102039912001
11957528096
1248b1b4769
1326680cb2a
14154cc8241
15be148586
hex79969641

2039912001 has 48 divisors (see below), whose sum is σ = 3067384320. Its totient is φ = 1305590400.

The previous prime is 2039911981. The next prime is 2039912081. The reversal of 2039912001 is 1002199302.

2039912001 is a nontrivial binomial coefficient, being equal to C(63874, 2).

It is not a de Polignac number, because 2039912001 - 25 = 2039911969 is a prime.

It is a super-2 number, since 2×20399120012 = 8322481943647648002, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2039912081) 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, 6962011 + ... + 6962303.

It is an arithmetic number, because the mean of its divisors is an integer number (63903840).

Almost surely, 22039912001 is an apocalyptic number.

2039912001 is the 63873-rd triangular number and also the 31937-th hexagonal number.

It is an amenable number.

2039912001 is a deficient number, since it is larger than the sum of its proper divisors (1027472319).

2039912001 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (2039912000) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (606).

2039912001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 2039912001 is about 45165.3849867351. The cubic root of 2039912001 is about 1268.2469045298.

It can be divided in two parts, 20399 and 12001, that added together give a square (32400 = 1802).

The spelling of 2039912001 in words is "two billion, thirty-nine million, nine hundred twelve thousand, one".

Divisors: 1 3 9 47 109 141 151 293 327 423 453 879 981 1359 2637 5123 7097 13771 15369 16459 21291 31937 41313 44243 46107 49377 63873 95811 123939 132729 148131 287433 398187 773573 1501039 2079421 2320719 4503117 4822487 6238263 6962157 13509351 14467461 18714789 43402383 226656889 679970667 2039912001