Search a number
-
+
133587990016 = 2913107187573
BaseRepresentation
bin111110001101001110…
…1101111011000000000
3110202210222101000121221
41330122131233120000
54142042011140031
6141211450124424
712436302115435
oct1743235573000
9422728330557
10133587990016
1151721a35138
1221a82420714
13c79c33b250
146673c0db8c
15371cd51a11
hex1f1a76f600

133587990016 has 80 divisors (see below), whose sum is σ = 290134961424. Its totient is φ = 61079445504.

The previous prime is 133587990007. The next prime is 133587990061. The reversal of 133587990016 is 610099785331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 618406 + ... + 805978.

Almost surely, 2133587990016 is an apocalyptic number.

133587990016 is a gapful number since it is divisible by the number (16) 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 133587990016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145067480712).

133587990016 is an abundant number, since it is smaller than the sum of its proper divisors (156546971408).

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

133587990016 is a wasteful number, since it uses less digits than its factorization.

133587990016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187711 (or 187695 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 52.

The spelling of 133587990016 in words is "one hundred thirty-three billion, five hundred eighty-seven million, nine hundred ninety thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 107 128 208 214 256 416 428 512 832 856 1391 1664 1712 2782 3328 3424 5564 6656 6848 11128 13696 22256 27392 44512 54784 89024 178048 187573 356096 375146 712192 750292 1500584 2438449 3001168 4876898 6002336 9753796 12004672 19507592 20070311 24009344 39015184 40140622 48018688 78030368 80281244 96037376 156060736 160562488 260914043 312121472 321124976 521828086 624242944 642249952 1043656172 1248485888 1284499904 2087312344 2568999808 4174624688 5137999616 8349249376 10275999232 16698498752 33396997504 66793995008 133587990016