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133893552744 = 2334753556943
BaseRepresentation
bin111110010110010101…
…1010111101001101000
3110210121021100012220000
41330230223113221220
54143203222141434
6141302043303000
712450002264040
oct1745453275150
9423537305800
10133893552744
1151869468a16
1221b4881aa60
13c81a735cb3
1466a2630720
153739aadb99
hex1f2cad7a68

133893552744 has 160 divisors (see below), whose sum is σ = 436688651520. Its totient is φ = 37533435264.

The previous prime is 133893552739. The next prime is 133893552773. The reversal of 133893552744 is 447255398331.

133893552744 is a `hidden beast` number, since 1 + 3 + 3 + 89 + 3 + 552 + 7 + 4 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 38064 + ... + 518879.

It is an arithmetic number, because the mean of its divisors is an integer number (2729304072).

Almost surely, 2133893552744 is an apocalyptic number.

133893552744 is a gapful number since it is divisible by the number (14) 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 133893552744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218344325760).

133893552744 is an abundant number, since it is smaller than the sum of its proper divisors (302795098776).

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

133893552744 is a wasteful number, since it uses less digits than its factorization.

133893552744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557021 (or 557008 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The spelling of 133893552744 in words is "one hundred thirty-three billion, eight hundred ninety-three million, five hundred fifty-two thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 53 54 56 63 72 81 84 106 108 126 159 162 168 189 212 216 252 318 324 371 378 424 477 504 567 636 648 742 756 954 1113 1134 1272 1431 1484 1512 1908 2226 2268 2862 2968 3339 3816 4293 4452 4536 5724 6678 8586 8904 10017 11448 13356 17172 20034 26712 30051 34344 40068 60102 80136 120204 240408 556943 1113886 1670829 2227772 3341658 3898601 4455544 5012487 6683316 7797202 10024974 11695803 13366632 15037461 15594404 20049948 23391606 29517979 30074922 31188808 35087409 40099896 45112383 46783212 59035958 60149844 70174818 88553937 90224766 93566424 105262227 118071916 120299688 140349636 177107874 180449532 206625853 210524454 236143832 265661811 280699272 315786681 354215748 360899064 413251706 421048908 531323622 619877559 631573362 708431496 796985433 826503412 842097816 1062647244 1239755118 1263146724 1593970866 1653006824 1859632677 2125294488 2390956299 2479510236 2526293448 3187941732 3719265354 4781912598 4959020472 5578898031 6375883464 7438530708 9563825196 11157796062 14877061416 16736694093 19127650392 22315592124 33473388186 44631184248 66946776372 133893552744