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133341267852 = 223413186117011
BaseRepresentation
bin111110000101111000…
…0100100011110001100
3110202011210010020110000
41330023300210132030
54141040331032402
6141131154044300
712430215035022
oct1741360443614
9422153106400
10133341267852
1151605740121
1221a13879690
13c7601a57c0
14664d148712
153706368c1c
hex1f0bc2478c

133341267852 has 120 divisors (see below), whose sum is σ = 375618087152. Its totient is φ = 41003625600.

The previous prime is 133341267833. The next prime is 133341267853. The reversal of 133341267852 is 258762143331.

133341267852 is a `hidden beast` number, since 1 + 3 + 334 + 1 + 267 + 8 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 133341267798 and 133341267807.

It is not an unprimeable number, because it can be changed into a prime (133341267853) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7830027 + ... + 7847037.

Almost surely, 2133341267852 is an apocalyptic number.

133341267852 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 133341267852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187809043576).

133341267852 is an abundant number, since it is smaller than the sum of its proper divisors (242276819300).

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

133341267852 is a wasteful number, since it uses less digits than its factorization.

133341267852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18901 (or 18890 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 133341267852 in words is "one hundred thirty-three billion, three hundred forty-one million, two hundred sixty-seven thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 702 1053 1404 1861 2106 3722 4212 5583 7444 11166 16749 17011 22332 24193 33498 34022 48386 50247 51033 66996 68044 72579 96772 100494 102066 145158 150741 153099 200988 204132 217737 221143 290316 301482 306198 435474 442286 459297 602964 612396 653211 663429 870948 884572 918594 1306422 1326858 1377891 1837188 1959633 1990287 2612844 2653716 2755782 3919266 3980574 5511564 5970861 7838532 7961148 11941722 17912583 23883444 31657471 35825166 63314942 71650332 94972413 126629884 189944826 284917239 379889652 411547123 569834478 823094246 854751717 1139668956 1234641369 1646188492 1709503434 2469282738 2564255151 3419006868 3703924107 4938565476 5128510302 7407848214 10257020604 11111772321 14815696428 22223544642 33335316963 44447089284 66670633926 133341267852