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133881938820 = 2232572931181653
BaseRepresentation
bin111110010101111111…
…1000100001110000100
3110210120110111011120200
41330223333010032010
54143142234020240
6141300550330500
712446501463150
oct1745377041604
9423513434520
10133881938820
1151862956233
1221b44959a30
13c8181ca956
1466a0c8a060
153738a67930
hex1f2bfc4384

133881938820 has 576 divisors, whose sum is σ = 499117731840. Its totient is φ = 28391731200.

The previous prime is 133881938819. The next prime is 133881938833. The reversal of 133881938820 is 28839188331.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 205025614 + ... + 205026266.

It is an arithmetic number, because the mean of its divisors is an integer number (866523840).

Almost surely, 2133881938820 is an apocalyptic number.

133881938820 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 133881938820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249558865920).

133881938820 is an abundant number, since it is smaller than the sum of its proper divisors (365235793020).

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

133881938820 is a wasteful number, since it uses less digits than its factorization.

133881938820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

It can be divided in two parts, 133881 and 938820, that added together give a palindrome (1072701).

The spelling of 133881938820 in words is "one hundred thirty-three billion, eight hundred eighty-one million, nine hundred thirty-eight thousand, eight hundred twenty".