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425400116526 = 232711509602999
BaseRepresentation
bin1100011000010111101…
…00101010010100101110
31111200000212100222111100
412030023310222110232
523432204412212101
6523232012503530
742506545220610
oct6141364522456
91450025328440
10425400116526
11154458303940
126a54177aba6
1331165a271a8
1416837740db0
15b0eb7a3e86
hex630bd2a52e

425400116526 has 96 divisors (see below), whose sum is σ = 1151392320000. Its totient is φ = 110276274240.

The previous prime is 425400116521. The next prime is 425400116579. The reversal of 425400116526 is 625611004524.

425400116526 is a `hidden beast` number, since 42 + 540 + 0 + 11 + 65 + 2 + 6 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425400116521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 403975 + ... + 1006973.

It is an arithmetic number, because the mean of its divisors is an integer number (11993670000).

Almost surely, 2425400116526 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 425400116526, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575696160000).

425400116526 is an abundant number, since it is smaller than the sum of its proper divisors (725992203474).

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

425400116526 is a wasteful number, since it uses less digits than its factorization.

425400116526 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603534 (or 603531 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 425400116526 in words is "four hundred twenty-five billion, four hundred million, one hundred sixteen thousand, five hundred twenty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 509 693 1018 1386 1527 3054 3563 4581 5599 7126 9162 10689 11198 16797 21378 32067 33594 39193 50391 64134 78386 100782 117579 235158 352737 602999 705474 1205998 1808997 3617994 4220993 5426991 6632989 8441986 10853982 12662979 13265978 19898967 25325958 37988937 39797934 46430923 59696901 75977874 92861846 119393802 139292769 278585538 306926491 417878307 613852982 835756614 920779473 1841558946 2148485437 2762338419 3376191401 4296970874 5524676838 6445456311 6752382802 10128574203 12890912622 19336368933 20257148406 23633339807 30385722609 38672737866 47266679614 60771445218 70900019421 141800038842 212700058263 425400116526