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132001999920 = 24345719971579
BaseRepresentation
bin111101011101111101…
…1101010110000110000
3110121201110001101020000
41322323323222300300
54130320002444140
6140350232550000
712352063325550
oct1727373526060
9417643041200
10132001999920
1150a8876231a
12216bb252300
13c5a889c27b
146563325160
1536789bda30
hex1ebbeeac30

132001999920 has 800 divisors, whose sum is σ = 557572646400. Its totient is φ = 28271296512.

The previous prime is 132001999919. The next prime is 132001999931. The reversal of 132001999920 is 29999100231.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 83597691 + ... + 83599269.

It is an arithmetic number, because the mean of its divisors is an integer number (696965808).

Almost surely, 2132001999920 is an apocalyptic number.

132001999920 is a gapful number since it is divisible by the number (10) 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 132001999920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278786323200).

132001999920 is an abundant number, since it is smaller than the sum of its proper divisors (425570646480).

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

132001999920 is a wasteful number, since it uses less digits than its factorization.

132001999920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1727 (or 1712 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 45.

The spelling of 132001999920 in words is "one hundred thirty-two billion, one million, nine hundred ninety-nine thousand, nine hundred twenty".