Search a number
-
+
133297383672 = 2335100967957
BaseRepresentation
bin111110000100100100…
…1001010100011111000
3110202001201112200200000
41330021021022203320
54140443112234142
6141122545313000
712426143031555
oct1741111124370
9422051480600
10133297383672
1151592997302
1221a01035760
13c75407c02b
1466473a3a2c
15370259b14c
hex1f0924a8f8

133297383672 has 96 divisors (see below), whose sum is σ = 374761186800. Its totient is φ = 44387771904.

The previous prime is 133297383643. The next prime is 133297383677. The reversal of 133297383672 is 276383792331.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133297383677) by changing a digit.

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, 1927518 + ... + 1995474.

Almost surely, 2133297383672 is an apocalyptic number.

133297383672 is a gapful number since it is divisible by the number (12) 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 133297383672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187380593400).

133297383672 is an abundant number, since it is smaller than the sum of its proper divisors (241463803128).

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

133297383672 is a wasteful number, since it uses less digits than its factorization.

133297383672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68987 (or 68971 counting only the distinct ones).

The product of its digits is 6858432, while the sum is 54.

The spelling of 133297383672 in words is "one hundred thirty-three billion, two hundred ninety-seven million, three hundred eighty-three thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1009 1944 2018 3027 4036 6054 8072 9081 12108 18162 24216 27243 36324 54486 67957 72648 81729 108972 135914 163458 203871 217944 245187 271828 326916 407742 490374 543656 611613 653832 815484 980748 1223226 1630968 1834839 1961496 2446452 3669678 4892904 5504517 7339356 11009034 14678712 16513551 22018068 33027102 44036136 66054204 68568613 132108408 137137226 205705839 274274452 411411678 548548904 617117517 822823356 1234235034 1645646712 1851352551 2468470068 3702705102 4936940136 5554057653 7405410204 11108115306 14810820408 16662172959 22216230612 33324345918 44432461224 66648691836 133297383672