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132066533256 = 233710352314593
BaseRepresentation
bin111101011111111000…
…1110101111110001000
3110121212221111000022120
41322333301311332020
54130433013031011
6140400500051240
712353506003440
oct1727761657610
9417787430276
10132066533256
115101112a159
1221718993b20
13c5b9075788
14656bb23120
15367e4b9a06
hex1ebfc75f88

132066533256 has 128 divisors (see below), whose sum is σ = 381751019520. Its totient is φ = 37292949504.

The previous prime is 132066533213. The next prime is 132066533257. The reversal of 132066533256 is 652335660231.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (132066533257) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9042696 + ... + 9057288.

It is an arithmetic number, because the mean of its divisors is an integer number (2982429840).

Almost surely, 2132066533256 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 132066533256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190875509760).

132066533256 is an abundant number, since it is smaller than the sum of its proper divisors (249684486264).

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

132066533256 is a wasteful number, since it uses less digits than its factorization.

132066533256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15235 (or 15231 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 42.

The spelling of 132066533256 in words is "one hundred thirty-two billion, sixty-six million, five hundred thirty-three thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 103 168 206 309 412 523 618 721 824 1046 1236 1442 1569 2092 2163 2472 2884 3138 3661 4184 4326 5768 6276 7322 8652 10983 12552 14593 14644 17304 21966 29186 29288 43779 43932 53869 58372 87558 87864 102151 107738 116744 161607 175116 204302 215476 306453 323214 350232 377083 408604 430952 612906 646428 754166 817208 1131249 1225812 1292856 1503079 1508332 2262498 2451624 3006158 3016664 4509237 4524996 6012316 7632139 9018474 9049992 10521553 12024632 15264278 18036948 21043106 22896417 30528556 31564659 36073896 42086212 45792834 53424973 61057112 63129318 84172424 91585668 106849946 126258636 160274919 183171336 213699892 252517272 320549838 427399784 641099676 786110317 1282199352 1572220634 2358330951 3144441268 4716661902 5502772219 6288882536 9433323804 11005544438 16508316657 18866647608 22011088876 33016633314 44022177752 66033266628 132066533256