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137043123696 = 24391937619
BaseRepresentation
bin111111110100001101…
…0000001110111110000
3111002201202211000000000
41333220122001313300
54221131014424241
6142542353430000
712621025221453
oct1775032016760
9432652730000
10137043123696
11531352a8216
122268756b300
13cc000c904b
1468c0a4d49a
153871349eb6
hex1fe8681df0

137043123696 has 400 divisors, whose sum is σ = 431262972800. Its totient is φ = 42039108864.

The previous prime is 137043123661. The next prime is 137043123739. The reversal of 137043123696 is 696321340731.

137043123696 is a `hidden beast` number, since 1 + 370 + 43 + 1 + 236 + 9 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 221394075 + ... + 221394693.

It is an arithmetic number, because the mean of its divisors is an integer number (1078157432).

Almost surely, 2137043123696 is an apocalyptic number.

137043123696 is a gapful number since it is divisible by the number (16) 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 137043123696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215631486400).

137043123696 is an abundant number, since it is smaller than the sum of its proper divisors (294219849104).

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

137043123696 is an frugal number, since it uses more digits than its factorization.

137043123696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 137043123696 in words is "one hundred thirty-seven billion, forty-three million, one hundred twenty-three thousand, six hundred ninety-six".