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132402761216 = 291122392921
BaseRepresentation
bin111101101001111010…
…0011100111000000000
3110122202101011011100222
41323103310130320000
54132130101324331
6140454110402212
712365030621045
oct1732364347000
9418671134328
10132402761216
11511739a8200
12217b1500368
13c64091922b
1465a06471cc
15369dc82b7b
hex1ed3d1ce00

132402761216 has 120 divisors (see below), whose sum is σ = 303428985552. Its totient is φ = 57565798400.

The previous prime is 132402761213. The next prime is 132402761219. The reversal of 132402761216 is 612167204231.

It is an interprime number because it is at equal distance from previous prime (132402761213) and next prime (132402761219).

It is a super-2 number, since 2×1324027612162 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132402761213) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1378436 + ... + 1471356.

Almost surely, 2132402761216 is an apocalyptic number.

132402761216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132402761216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151714492776).

132402761216 is an abundant number, since it is smaller than the sum of its proper divisors (171026224336).

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

132402761216 is an equidigital number, since it uses as much as digits as its factorization.

132402761216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92984 (or 92957 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

Adding to 132402761216 its reverse (612167204231), we get a palindrome (744569965447).

The spelling of 132402761216 in words is "one hundred thirty-two billion, four hundred two million, seven hundred sixty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 121 128 176 184 242 253 256 352 368 484 506 512 704 736 968 1012 1408 1472 1936 2024 2783 2816 2944 3872 4048 5566 5632 5888 7744 8096 11132 11776 15488 16192 22264 30976 32384 44528 61952 64768 89056 92921 129536 178112 185842 356224 371684 712448 743368 1022131 1424896 1486736 2044262 2137183 2973472 4088524 4274366 5946944 8177048 8548732 11243441 11893888 16354096 17097464 22486882 23509013 23787776 32708192 34194928 44973764 47018026 47575552 65416384 68389856 89947528 94036052 130832768 136779712 179895056 188072104 258599143 261665536 273559424 359790112 376144208 517198286 523331072 547118848 719580224 752288416 1034396572 1094237696 1439160448 1504576832 2068793144 2878320896 3009153664 4137586288 5756641792 6018307328 8275172576 12036614656 16550345152 33100690304 66201380608 132402761216