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10387141968 = 243773423481
BaseRepresentation
bin10011010110001111…
…10011010101010000
3222210220020111001210
421223013303111100
5132233102020333
64434412300120
7515255151510
oct115307632520
928726214053
1010387141968
1144502a8555
12201a771640
13c96c79368
1470773b840
1540bd81a63
hex26b1f3550

10387141968 has 80 divisors (see below), whose sum is σ = 31086966656. Its totient is φ = 2927093760.

The previous prime is 10387141943. The next prime is 10387141993. The reversal of 10387141968 is 86914178301.

10387141968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10387141943) and next prime (10387141993).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187213 + ... + 236268.

Almost surely, 210387141968 is an apocalyptic number.

It is an amenable number.

10387141968 is an abundant number, since it is smaller than the sum of its proper divisors (20699824688).

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

10387141968 is a wasteful number, since it uses less digits than its factorization.

10387141968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423572 (or 423566 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 48.

The spelling of 10387141968 in words is "ten billion, three hundred eighty-seven million, one hundred forty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 73 84 112 146 168 219 292 336 438 511 584 876 1022 1168 1533 1752 2044 3066 3504 4088 6132 8176 12264 24528 423481 846962 1270443 1693924 2540886 2964367 3387848 5081772 5928734 6775696 8893101 10163544 11857468 17786202 20327088 23714936 30914113 35572404 47429872 61828226 71144808 92742339 123656452 142289616 185484678 216398791 247312904 370969356 432797582 494625808 649196373 741938712 865595164 1298392746 1483877424 1731190328 2596785492 3462380656 5193570984 10387141968