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31660530000 = 2435411372593
BaseRepresentation
bin11101011111000111…
…010101100101010000
310000201110212120022020
4131133013111211100
51004320043430000
622313351011440
72200402031121
oct353707254520
9100643776266
1031660530000
11124775a8880
126177069b80
132ca7402128
141764bb8048
15c547d2ba0
hex75f1d5950

31660530000 has 400 divisors, whose sum is σ = 114553281216. Its totient is φ = 7464960000.

The previous prime is 31660529911. The next prime is 31660530107. The reversal of 31660530000 is 3506613.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12208704 + ... + 12211296.

Almost surely, 231660530000 is an apocalyptic number.

31660530000 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 31660530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57276640608).

31660530000 is an abundant number, since it is smaller than the sum of its proper divisors (82892751216).

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

31660530000 is a wasteful number, since it uses less digits than its factorization.

31660530000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2672 (or 2651 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The spelling of 31660530000 in words is "thirty-one billion, six hundred sixty million, five hundred thirty thousand".