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132214466461061 = 1753337487894119
BaseRepresentation
bin11110000011111110010100…
…010011101011110110000101
3122100010120122111100012002102
4132003332110103223312011
5114312200211403223221
61145110253135321445
736564115506101045
oct3603762423536605
9570116574305072
10132214466461061
1139144927547556
12129b4071380285
1358a0a0328894a
14249130014b725
151044305a6e30b
hex783f944ebd85

132214466461061 has 32 divisors (see below), whose sum is σ = 143350296860160. Its totient is φ = 121476902916096.

The previous prime is 132214466461019. The next prime is 132214466461081. The reversal of 132214466461061 is 160164664412231.

It is a cyclic number.

It is not a de Polignac number, because 132214466461061 - 226 = 132214399352197 is a prime.

It is a super-4 number, since 4×1322144664610614 (a number of 58 digits) contains 4444 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 132214466460997 and 132214466461015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132214466461081) 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, 147424160 + ... + 148318278.

It is an arithmetic number, because the mean of its divisors is an integer number (4479696776880).

Almost surely, 2132214466461061 is an apocalyptic number.

It is an amenable number.

132214466461061 is a deficient number, since it is larger than the sum of its proper divisors (11135830399099).

132214466461061 is a wasteful number, since it uses less digits than its factorization.

132214466461061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895013.

The product of its (nonzero) digits is 995328, while the sum is 47.

The spelling of 132214466461061 in words is "one hundred thirty-two trillion, two hundred fourteen billion, four hundred sixty-six million, four hundred sixty-one thousand, sixty-one".

Divisors: 1 17 53 337 487 901 5729 8279 17861 25811 164119 303637 438787 894119 2790023 8698307 15200023 47388307 147871219 301318103 435435953 805601219 5122407751 7402411201 15969859459 23078105509 146741916161 271487610803 392327793653 2494612574737 7777321556533 132214466461061