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114350532660 = 2232572133153607
BaseRepresentation
bin110101001111111010…
…0101010100000110100
3101221011021200221020100
41222133310222200310
53333142214021120
6124310520434100
711155466330100
oct1523764524064
9357137627210
10114350532660
114454a992751
121a1b3918930
13aa249300a0
14576ad02900
152e9400e490
hex1a9fd2a834

114350532660 has 864 divisors, whose sum is σ = 457765281792. Its totient is φ = 22870149120.

The previous prime is 114350532641. The next prime is 114350532697. The reversal of 114350532660 is 66235053411.

114350532660 is a `hidden beast` number, since 1 + 14 + 3 + 50 + 532 + 6 + 60 = 666.

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

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 287 ways as a sum of consecutive naturals, for example, 188386077 + ... + 188386683.

It is an arithmetic number, because the mean of its divisors is an integer number (529820928).

Almost surely, 2114350532660 is an apocalyptic number.

114350532660 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 114350532660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228882640896).

114350532660 is an abundant number, since it is smaller than the sum of its proper divisors (343414749132).

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

114350532660 is a wasteful number, since it uses less digits than its factorization.

114350532660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 114350532660 in words is "one hundred fourteen billion, three hundred fifty million, five hundred thirty-two thousand, six hundred sixty".