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132669881424 = 243317122914699
BaseRepresentation
bin111101110001110111…
…1011011110001010000
3110200102222210021102000
41323203233123301100
54133201442201144
6140540411554000
712404453246133
oct1734357336120
9420388707360
10132669881424
11512a0764603
1221866a5b900
13c684074322
1465c7cdc21a
1536b7449769
hex1ee3bdbc50

132669881424 has 160 divisors (see below), whose sum is σ = 403567920000. Its totient is φ = 41585227776.

The previous prime is 132669881417. The next prime is 132669881437. The reversal of 132669881424 is 424188966231.

132669881424 is a `hidden beast` number, since 132 + 6 + 6 + 9 + 8 + 81 + 424 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9018427 + ... + 9033125.

It is an arithmetic number, because the mean of its divisors is an integer number (2522299500).

Almost surely, 2132669881424 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 132669881424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201783960000).

132669881424 is an abundant number, since it is smaller than the sum of its proper divisors (270898038576).

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

132669881424 is a wasteful number, since it uses less digits than its factorization.

132669881424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15962 (or 15950 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 132669881424 in words is "one hundred thirty-two billion, six hundred sixty-nine million, eight hundred eighty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 816 918 1224 1229 1836 2448 2458 3672 3687 4916 7344 7374 9832 11061 14699 14748 19664 20893 22122 29398 29496 33183 41786 44097 44244 58796 58992 62679 66366 83572 88194 88488 117592 125358 132291 132732 167144 176388 176976 188037 235184 249883 250716 264582 265464 334288 352776 376074 396873 499766 501432 529164 530928 564111 705552 749649 752148 793746 999532 1002864 1058328 1128222 1499298 1504296 1587492 1999064 2116656 2248947 2256444 2998596 3008592 3174984 3998128 4497894 4512888 5997192 6349968 6746841 8995788 9025776 11994384 13493682 17991576 18065071 26987364 35983152 36130142 53974728 54195213 72260284 107949456 108390426 144520568 162585639 216780852 289041136 307106207 325171278 433561704 487756917 614212414 650342556 867123408 921318621 975513834 1228424828 1300685112 1842637242 1951027668 2456849656 2601370224 2763955863 3685274484 3902055336 4913699312 5527911726 7370548968 7804110672 8291867589 11055823452 14741097936 16583735178 22111646904 33167470356 44223293808 66334940712 132669881424