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5137993583712 = 253411577312313
BaseRepresentation
bin100101011000100100001…
…0010000100110001100000
3200012012001121101111110000
41022301020102010301200
51133140102324134322
614532210041540000
71040131161604233
oct112611022046140
920165047344400
105137993583712
111701013481420
126ab93b7a4600
132b3684073592
1413a97472941a
158d9b72143ac
hex4ac48484c60

5137993583712 has 240 divisors, whose sum is σ = 16513018098192. Its totient is φ = 1554264391680.

The previous prime is 5137993583663. The next prime is 5137993583729. The reversal of 5137993583712 is 2173853997315.

5137993583712 is a `hidden beast` number, since 5 + 1 + 37 + 9 + 9 + 3 + 583 + 7 + 12 = 666.

It is a super-3 number, since 3×51379935837123 (a number of 39 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5137993583712.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16295268 + ... + 16607580.

Almost surely, 25137993583712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5137993583712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8256509049096).

5137993583712 is an abundant number, since it is smaller than the sum of its proper divisors (11375024514480).

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

5137993583712 is a wasteful number, since it uses less digits than its factorization.

5137993583712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312923 (or 312906 counting only the distinct ones).

The product of its digits is 42865200, while the sum is 63.

The spelling of 5137993583712 in words is "five trillion, one hundred thirty-seven billion, nine hundred ninety-three million, five hundred eighty-three thousand, seven hundred twelve".