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132001012992 = 283433396943
BaseRepresentation
bin111101011101111011…
…1111001110100000000
3110121201101012020102010
41322323313321310000
54130314224403432
6140350155452520
712352052045322
oct1727367716400
9417641166363
10132001012992
1150a88148882
12216baa57140
13c5a8614ca4
146563149612
1536788763cc
hex1ebbdf9d00

132001012992 has 72 divisors (see below), whose sum is σ = 352127434624. Its totient is φ = 43898609664.

The previous prime is 132001012963. The next prime is 132001012993. The reversal of 132001012992 is 299210100231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132001012993) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134073 + ... + 531015.

Almost surely, 2132001012992 is an apocalyptic number.

132001012992 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 132001012992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176063717312).

132001012992 is an abundant number, since it is smaller than the sum of its proper divisors (220126421632).

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

132001012992 is an equidigital number, since it uses as much as digits as its factorization.

132001012992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397395 (or 397381 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The spelling of 132001012992 in words is "one hundred thirty-two billion, one million, twelve thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 433 768 866 1299 1732 2598 3464 5196 6928 10392 13856 20784 27712 41568 55424 83136 110848 166272 332544 396943 793886 1190829 1587772 2381658 3175544 4763316 6351088 9526632 12702176 19053264 25404352 38106528 50808704 76213056 101617408 152426112 171876319 304852224 343752638 515628957 687505276 1031257914 1375010552 2062515828 2750021104 4125031656 5500042208 8250063312 11000084416 16500126624 22000168832 33000253248 44000337664 66000506496 132001012992