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20132690832 = 2433235961563
BaseRepresentation
bin10010110000000000…
…000111101110010000
31220222002012122212000
4102300000013232100
5312212432101312
613125425234000
71311623022432
oct226000075620
956862178760
1020132690832
1185a1419671
123a9a492900
131b8b026117
14d8db86652
157cc72badc
hex4b0007b90

20132690832 has 320 divisors, whose sum is σ = 62438860800. Its totient is φ = 6195847680.

The previous prime is 20132690821. The next prime is 20132690839. The reversal of 20132690832 is 23809623102.

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

It is not an unprimeable number, because it can be changed into a prime (20132690839) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35759383 + ... + 35759945.

It is an arithmetic number, because the mean of its divisors is an integer number (195121440).

Almost surely, 220132690832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20132690832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31219430400).

20132690832 is an abundant number, since it is smaller than the sum of its proper divisors (42306169968).

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

20132690832 is a wasteful number, since it uses less digits than its factorization.

20132690832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 20132690832 in words is "twenty billion, one hundred thirty-two million, six hundred ninety thousand, eight hundred thirty-two".