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132355054165464 = 233213294876033531
BaseRepresentation
bin11110000110000001001111…
…111111001101110111011000
3122100122000112021220112201100
4132012001033333031313120
5114322001122331243324
61145255023353551400
736610223424626214
oct3606011777156730
9570560467815640
10132355054165464
1139199510650709
1212a17367a15560
1358b104982cb10
142498039841944
151047cd31804c9
hex78604ffcddd8

132355054165464 has 96 divisors (see below), whose sum is σ = 399347146270800. Its totient is φ = 39320334385920.

The previous prime is 132355054165463. The next prime is 132355054165471. The reversal of 132355054165464 is 464561450553231.

132355054165464 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 5 + 50 + 5 + 41 + 6 + 546 + 4 = 666.

132355054165464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 132355054165464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132355054165463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2437989622 + ... + 2438043909.

Almost surely, 2132355054165464 is an apocalyptic number.

It is an amenable number.

132355054165464 is an abundant number, since it is smaller than the sum of its proper divisors (266992092105336).

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

132355054165464 is a wasteful number, since it uses less digits than its factorization.

132355054165464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4876033585 (or 4876033578 counting only the distinct ones).

The product of its (nonzero) digits is 25920000, while the sum is 54.

The spelling of 132355054165464 in words is "one hundred thirty-two trillion, three hundred fifty-five billion, fifty-four million, one hundred sixty-five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 29 36 39 52 58 72 78 87 104 116 117 156 174 232 234 261 312 348 377 468 522 696 754 936 1044 1131 1508 2088 2262 3016 3393 4524 6786 9048 13572 27144 4876033531 9752067062 14628100593 19504134124 29256201186 39008268248 43884301779 58512402372 63388435903 87768603558 117024804744 126776871806 141404972399 175537207116 190165307709 253553743612 282809944798 351074414232 380330615418 424214917197 507107487224 565619889596 570495923127 760661230836 848429834394 1131239779192 1140991846254 1272644751591 1521322461672 1696859668788 1838264641187 2281983692508 2545289503182 3393719337576 3676529282374 4563967385016 5090579006364 5514793923561 7353058564748 10181158012728 11029587847122 14706117129496 16544381770683 22059175694244 33088763541366 44118351388488 66177527082732 132355054165464