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116723648700 = 22345257125237
BaseRepresentation
bin110110010110101000…
…1011000100010111100
3102011021200010201110000
41230231101120202330
53403022223224300
6125342212514300
711301343433541
oct1545521304274
9364250121400
10116723648700
114555850297a
121a75661b990
13b012495169
145914164bc8
153082524c00
hex1b2d4588bc

116723648700 has 180 divisors, whose sum is σ = 379049622952. Its totient is φ = 31070563200.

The previous prime is 116723648683. The next prime is 116723648747. The reversal of 116723648700 is 7846327611.

116723648700 is a `hidden beast` number, since 1 + 167 + 2 + 3 + 6 + 487 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4612482 + ... + 4637718.

Almost surely, 2116723648700 is an apocalyptic number.

116723648700 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 116723648700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189524811476).

116723648700 is an abundant number, since it is smaller than the sum of its proper divisors (262325974252).

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

116723648700 is a wasteful number, since it uses less digits than its factorization.

116723648700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25834 (or 25818 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 116723648700 in words is "one hundred sixteen billion, seven hundred twenty-three million, six hundred forty-eight thousand, seven hundred".