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1048752135396 = 2232723726592
BaseRepresentation
bin11110100001011100111…
…11111001110011100100
310201021000100011111200100
433100232133321303210
5114140321021313041
62121442353544100
7135525025031400
oct17205637716344
93637010144610
101048752135396
1137485626a889
1214b308b75030
1377b87655934
1438a8d148100
151c4317b86b6
hexf42e7f9ce4

1048752135396 has 243 divisors, whose sum is σ = 3174246826569. Its totient is φ = 291102590016.

The previous prime is 1048752135331. The next prime is 1048752135419. The reversal of 1048752135396 is 6935312578401.

It is a happy number.

The square root of 1048752135396 is 1024086.

It is a perfect power (a square), and thus also a powerful number.

1048752135396 is a `hidden beast` number, since 1 + 0 + 4 + 87 + 5 + 21 + 3 + 539 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 938437812900 + 110314322496 = 968730^2 + 332136^2 .

It is a super-3 number, since 3×10487521353963 (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1591429315 + ... + 1591429973.

It is a 1-persistent number, because it is pandigital, but 2⋅1048752135396 = 2097504270792 is not.

Almost surely, 21048752135396 is an apocalyptic number.

1048752135396 is the 1024086-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1048752135396

1048752135396 is an abundant number, since it is smaller than the sum of its proper divisors (2125494691173).

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

1048752135396 is an equidigital number, since it uses as much as digits as its factorization.

1048752135396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 1048752135396 in words is "one trillion, forty-eight billion, seven hundred fifty-two million, one hundred thirty-five thousand, three hundred ninety-six".