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1980841632 = 2537112171433
BaseRepresentation
bin111011000010001…
…0011111010100000
312010001022011212220
41312010103322200
513024043413012
6524320151040
7100041606330
oct16604237240
95101264786
101980841632
11927151700
12473468480
132574ca053
1414b10d0c0
15b8d7b08c
hex76113ea0

1980841632 has 288 divisors, whose sum is σ = 6920919936. Its totient is φ = 483901440.

The previous prime is 1980841619. The next prime is 1980841679. The reversal of 1980841632 is 2361480891.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1381588 + ... + 1383020.

It is an arithmetic number, because the mean of its divisors is an integer number (24030972).

Almost surely, 21980841632 is an apocalyptic number.

1980841632 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 1980841632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3460459968).

1980841632 is an abundant number, since it is smaller than the sum of its proper divisors (4940078304).

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

1980841632 is a wasteful number, since it uses less digits than its factorization.

1980841632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 1980841632 is about 44506.6470541199. The cubic root of 1980841632 is about 1255.8851302036.

The spelling of 1980841632 in words is "one billion, nine hundred eighty million, eight hundred forty-one thousand, six hundred thirty-two".