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5046688152 = 2335112331331
BaseRepresentation
bin1001011001100111…
…00101100110011000
3111000201020022200000
410230303211212120
540313423010102
62152440013000
7236030066352
oct45463454630
914021208600
105046688152
11215a7a6560
12b8a161160
1362572770c
1435c3760d2
151e80ca01c
hex12cce5998

5046688152 has 384 divisors, whose sum is σ = 16706027520. Its totient is φ = 1411344000.

The previous prime is 5046688139. The next prime is 5046688159. The reversal of 5046688152 is 2518866405.

5046688152 is a `hidden beast` number, since 504 + 6 + 68 + 81 + 5 + 2 = 666.

It is a super-2 number, since 2×50466881522 = 50938122607074350208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5046688098 and 5046688107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5046688159) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15246627 + ... + 15246957.

It is an arithmetic number, because the mean of its divisors is an integer number (43505280).

Almost surely, 25046688152 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 5046688152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8353013760).

5046688152 is an abundant number, since it is smaller than the sum of its proper divisors (11659339368).

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

5046688152 is a wasteful number, since it uses less digits than its factorization.

5046688152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 5046688152 is about 71040.0461148499. The cubic root of 5046688152 is about 1715.2818404224.

The spelling of 5046688152 in words is "five billion, forty-six million, six hundred eighty-eight thousand, one hundred fifty-two".