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133507928216 = 23131929413779
BaseRepresentation
bin111110001010110110…
…0010101000010011000
3110202121101201110111002
41330111230111002120
54141411012200331
6141155510124132
712434310444215
oct1742554250230
9422541643432
10133507928216
1151690821563
1221a5b650648
13c7888889c0
14666732cb0c
153715cd99cb
hex1f15b15098

133507928216 has 96 divisors (see below), whose sum is σ = 284896407600. Its totient is φ = 58298469120.

The previous prime is 133507928207. The next prime is 133507928249. The reversal of 133507928216 is 612829705331.

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 23 ways as a sum of consecutive naturals, for example, 35327015 + ... + 35330793.

Almost surely, 2133507928216 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 133507928216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142448203800).

133507928216 is an abundant number, since it is smaller than the sum of its proper divisors (151388479384).

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

133507928216 is a wasteful number, since it uses less digits than its factorization.

133507928216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4777 (or 4754 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 47.

The spelling of 133507928216 in words is "one hundred thirty-three billion, five hundred seven million, nine hundred twenty-eight thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 152 247 361 494 722 941 988 1444 1882 1976 2888 3764 3779 4693 7528 7558 9386 12233 15116 17879 18772 24466 30232 35758 37544 48932 49127 71516 71801 97864 98254 143032 143602 196508 232427 287204 339701 393016 464854 574408 679402 929708 933413 1358804 1364219 1859416 1866826 2717608 2728438 3556039 3733652 4416113 5456876 7112078 7467304 8832226 10913752 14224156 17664452 17734847 28448312 35328904 35469694 46228507 67564741 70939388 92457014 135129482 141878776 184914028 270258964 369828056 540517928 878341633 1283730079 1756683266 2567460158 3513366532 5134920316 7026733064 10269840632 16688491027 33376982054 66753964108 133507928216