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132613422480 = 243357113592221
BaseRepresentation
bin111101110000001100…
…0000011110110010000
3110200022001112212022000
41323200120003312100
54133043014004410
6140531033514000
712403166330610
oct1734030036620
9420261485260
10132613422480
1151271902120
122184bb72900
13c675467076
1465c0602a40
1536b24e5dc0
hex1ee0603d90

132613422480 has 640 divisors, whose sum is σ = 571334860800. Its totient is φ = 27466905600.

The previous prime is 132613422463. The next prime is 132613422521. The reversal of 132613422480 is 84224316231.

132613422480 is a `hidden beast` number, since 1 + 3 + 26 + 134 + 22 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 59707770 + ... + 59709990.

It is an arithmetic number, because the mean of its divisors is an integer number (892710720).

Almost surely, 2132613422480 is an apocalyptic number.

132613422480 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 132613422480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285667430400).

132613422480 is an abundant number, since it is smaller than the sum of its proper divisors (438721438320).

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

132613422480 is a wasteful number, since it uses less digits than its factorization.

132613422480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2620 (or 2608 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 132613422480 in words is "one hundred thirty-two billion, six hundred thirteen million, four hundred twenty-two thousand, four hundred eighty".