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132199492056672 = 253172329127956269
BaseRepresentation
bin11110000011110000010111…
…110000110111011001100000
3122100002010222220100121222110
4132003300113300313121200
5114311424024431303142
61145055335214035320
736563045436544305
oct3603602760673140
9570063886317873
10132199492056672
1139139542917937
12129b11924a8b40
13589c487b31c31
1424906bd4ab0ac
151043c2b11399c
hex783c17c37660

132199492056672 has 384 divisors, whose sum is σ = 399756968755200. Its totient is φ = 38001508909056.

The previous prime is 132199492056659. The next prime is 132199492056679. The reversal of 132199492056672 is 276650294991231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132199492056679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 137766954 + ... + 138723222.

It is an arithmetic number, because the mean of its divisors is an integer number (1041033772800).

Almost surely, 2132199492056672 is an apocalyptic number.

132199492056672 is a gapful number since it is divisible by the number (12) 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 132199492056672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199878484377600).

132199492056672 is an abundant number, since it is smaller than the sum of its proper divisors (267557476698528).

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

132199492056672 is a wasteful number, since it uses less digits than its factorization.

132199492056672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956478 (or 956470 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 66.

The spelling of 132199492056672 in words is "one hundred thirty-two trillion, one hundred ninety-nine billion, four hundred ninety-two million, fifty-six thousand, six hundred seventy-two".