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132878260086 = 2311132107111337
BaseRepresentation
bin111101111000000101…
…0010101011101110110
3110200222111220000012020
41323300022111131312
54134113313310321
6141013214134010
712412563401115
oct1736012253566
9420874800166
10132878260086
115139834a580
12219047b1306
13c6b82a3200
146607861c7c
1536ca8ab4c6
hex1ef0295776

132878260086 has 96 divisors (see below), whose sum is σ = 316869729408. Its totient is φ = 36821041920.

The previous prime is 132878260069. The next prime is 132878260087. The reversal of 132878260086 is 680062878231.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132878260087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1137810 + ... + 1249146.

It is an arithmetic number, because the mean of its divisors is an integer number (3300726348).

Almost surely, 2132878260086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132878260086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158434864704).

132878260086 is an abundant number, since it is smaller than the sum of its proper divisors (183991469322).

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

132878260086 is a wasteful number, since it uses less digits than its factorization.

132878260086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111486 (or 111473 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 132878260086 in words is "one hundred thirty-two billion, eight hundred seventy-eight million, two hundred sixty thousand, eighty-six".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 107 143 169 214 286 321 338 429 507 642 858 1014 1177 1391 1859 2354 2782 3531 3718 4173 5577 7062 8346 11154 15301 18083 30602 36166 45903 54249 91806 108498 111337 198913 222674 334011 397826 596739 668022 1193478 1224707 1447381 2449414 2894762 3674121 4342143 7348242 8684286 11913059 15921191 18815953 23826118 31842382 35739177 37631906 47763573 56447859 71478354 95527146 112895718 131043649 154869767 206975483 262087298 309739534 393130947 413950966 464609301 620926449 786261894 929218602 1241852898 1703567437 2013306971 3407134874 4026613942 5110702311 6039920913 10221404622 12079841826 22146376681 44292753362 66439130043 132878260086