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1352410020630 = 23251947137122827
BaseRepresentation
bin10011101011100001111…
…010110011101100010110
311210021210210001100122100
4103223201322303230112
5134124213431130010
62513142200142530
7166464660334344
oct23534172635426
94707723040570
101352410020630
11481610221429
1219a133467a46
139a6bb250b76
1449657dc6994
15252a51702c0
hex13ae1eb3b16

1352410020630 has 192 divisors, whose sum is σ = 3807707304960. Its totient is φ = 331948564992.

The previous prime is 1352410020629. The next prime is 1352410020683. The reversal of 1352410020630 is 360200142531.

1352410020630 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 4 + 1 + 0 + 0 + 20 + 630 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1352410020594 and 1352410020603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10949277 + ... + 11072103.

It is an arithmetic number, because the mean of its divisors is an integer number (19831808880).

Almost surely, 21352410020630 is an apocalyptic number.

1352410020630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1352410020630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1903853652480).

1352410020630 is an abundant number, since it is smaller than the sum of its proper divisors (2455297284330).

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

1352410020630 is a wasteful number, since it uses less digits than its factorization.

1352410020630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123043 (or 123040 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 1352410020630 in words is "one trillion, three hundred fifty-two billion, four hundred ten million, twenty thousand, six hundred thirty".