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132050553353334 = 232711199478766681
BaseRepresentation
bin11110000001100101101010…
…010100110011010001110110
3122022112220120002220120102200
4132001211222110303101312
5114302004013124301314
61144503104200445330
736546223545501360
oct3601455224632166
9568486502816380
10132050553353334
11390913638a9670
1212988347179846
13588b410401b85
1424873d0a61d30
15103ee107c2709
hex78196a533476

132050553353334 has 96 divisors (see below), whose sum is σ = 358500491481600. Its totient is φ = 34126488950400.

The previous prime is 132050553353317. The next prime is 132050553353339. The reversal of 132050553353334 is 433353355050231.

132050553353334 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 5 + 0 + 55 + 33 + 533 + 34 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 132050553353334.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132050553353339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 239107527 + ... + 239659154.

It is an arithmetic number, because the mean of its divisors is an integer number (3734380119600).

Almost surely, 2132050553353334 is an apocalyptic number.

132050553353334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

132050553353334 is an abundant number, since it is smaller than the sum of its proper divisors (226449938128266).

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

132050553353334 is a wasteful number, since it uses less digits than its factorization.

132050553353334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478766906 (or 478766903 counting only the distinct ones).

The product of its (nonzero) digits is 3645000, while the sum is 45.

The spelling of 132050553353334 in words is "one hundred thirty-two trillion, fifty billion, five hundred fifty-three million, three hundred fifty-three thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 199 231 398 462 597 693 1194 1386 1393 1791 2189 2786 3582 4179 4378 6567 8358 12537 13134 15323 19701 25074 30646 39402 45969 91938 137907 275814 478766681 957533362 1436300043 2872600086 3351366767 4308900129 5266433491 6702733534 8617800258 10054100301 10532866982 15799300473 20108200602 30162300903 31598600946 36865034437 47397901419 60324601806 73730068874 94795802838 95274569519 110595103311 190549139038 221190206622 285823708557 331785309933 571647417114 663570619866 666921986633 857471125671 1048020264709 1333843973266 1714942251342 2000765959899 2096040529418 3144060794127 4001531919798 6002297879697 6288121588254 7336141852963 9432182382381 12004595759394 14672283705926 18864364764762 22008425558889 44016851117778 66025276676667 132050553353334