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132116211640 = 2357661713833
BaseRepresentation
bin111101100001010111…
…1010110011110111000
3110122000101221221020201
41323002233112132320
54131033222233030
6140405432531544
712354651161410
oct1730257263670
9418011857221
10132116211640
1151037180276
1221731550bb4
13c5c644a67a
146574575640
153683a2e2ca
hex1ec2bd67b8

132116211640 has 64 divisors (see below), whose sum is σ = 340241837760. Its totient is φ = 45228395520.

The previous prime is 132116211629. The next prime is 132116211679. The reversal of 132116211640 is 46112611231.

132116211640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 132116211599 and 132116211608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171837 + ... + 541996.

It is an arithmetic number, because the mean of its divisors is an integer number (5316278715).

Almost surely, 2132116211640 is an apocalyptic number.

132116211640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132116211640 is an abundant number, since it is smaller than the sum of its proper divisors (208125626120).

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

132116211640 is a wasteful number, since it uses less digits than its factorization.

132116211640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714512 (or 714508 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

Adding to 132116211640 its reverse (46112611231), we get a palindrome (178228822871).

The spelling of 132116211640 in words is "one hundred thirty-two billion, one hundred sixteen million, two hundred eleven thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 661 1322 2644 3305 4627 5288 6610 9254 13220 18508 23135 26440 37016 46270 92540 185080 713833 1427666 2855332 3569165 4996831 5710664 7138330 9993662 14276660 19987324 24984155 28553320 39974648 49968310 99936620 199873240 471843613 943687226 1887374452 2359218065 3302905291 3774748904 4718436130 6605810582 9436872260 13211621164 16514526455 18873744520 26423242328 33029052910 66058105820 132116211640