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31923136080 = 243251110339133
BaseRepresentation
bin11101101110110001…
…000110011001010000
310001101210000100010100
4131232301012121100
51010334310323310
622355411332400
72210041115403
oct355661063120
9101353010110
1031923136080
11125a18616a0
12622abb1100
133019939644
14178ba15d3a
15c6c8a6ec0
hex76ec46650

31923136080 has 240 divisors, whose sum is σ = 118093262976. Its totient is φ = 7663610880.

The previous prime is 31923136079. The next prime is 31923136087. The reversal of 31923136080 is 8063132913.

31923136080 is a `hidden beast` number, since 3 + 19 + 2 + 31 + 3 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31923136087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 796194 + ... + 835326.

Almost surely, 231923136080 is an apocalyptic number.

31923136080 is a gapful number since it is divisible by the number (30) 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 31923136080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59046631488).

31923136080 is an abundant number, since it is smaller than the sum of its proper divisors (86170126896).

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

31923136080 is a wasteful number, since it uses less digits than its factorization.

31923136080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39266 (or 39257 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

Adding to 31923136080 its reverse (8063132913), we get a palindrome (39986268993).

The spelling of 31923136080 in words is "thirty-one billion, nine hundred twenty-three million, one hundred thirty-six thousand, eighty".