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20132966880 = 2533513379689
BaseRepresentation
bin10010110000000001…
…001011000111100000
31220222002201200112000
4102300001023013200
5312213014420010
613125435204000
71311625252305
oct226001130740
956862650460
1020132966880
1185a1598004
123a9a5a6600
131b8b0c1970
14d8dc190ac
157cc7837c0
hex4b004b1e0

20132966880 has 384 divisors, whose sum is σ = 77944809600. Its totient is φ = 4821368832.

The previous prime is 20132966869. The next prime is 20132966899. The reversal of 20132966880 is 8866923102.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2073076 + ... + 2082764.

It is an arithmetic number, because the mean of its divisors is an integer number (202981275).

Almost surely, 220132966880 is an apocalyptic number.

20132966880 is a gapful number since it is divisible by the number (20) 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 20132966880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38972404800).

20132966880 is an abundant number, since it is smaller than the sum of its proper divisors (57811842720).

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

20132966880 is a wasteful number, since it uses less digits than its factorization.

20132966880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9763 (or 9749 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 20132966880 in words is "twenty billion, one hundred thirty-two million, nine hundred sixty-six thousand, eight hundred eighty".