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553253400340 = 225298273115301
BaseRepresentation
bin10000000110100000111…
…10001110111100010100
31221220001011212202010021
420003100132032330110
533031030332302330
61102054444234524
754654064211314
oct10032036167424
91856034782107
10553253400340
111a36a7137363
128b28353ba44
134022cc35354
141cac5a7d444
15e5d0e2367a
hex80d078ef14

553253400340 has 48 divisors (see below), whose sum is σ = 1202051022480. Its totient is φ = 213642598400.

The previous prime is 553253400331. The next prime is 553253400347. The reversal of 553253400340 is 43004352355.

It can be written as a sum of positive squares in 8 ways, for example, as 19211068816 + 534042331524 = 138604^2 + 730782^2 .

It is a junction number, because it is equal to n+sod(n) for n = 553253400296 and 553253400305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (553253400347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4740690 + ... + 4855990.

It is an arithmetic number, because the mean of its divisors is an integer number (25042729635).

Almost surely, 2553253400340 is an apocalyptic number.

It is an amenable number.

553253400340 is an abundant number, since it is smaller than the sum of its proper divisors (648797622140).

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

553253400340 is a wasteful number, since it uses less digits than its factorization.

553253400340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123612 (or 123610 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 34.

Adding to 553253400340 its reverse (43004352355), we get a palindrome (596257752695).

The spelling of 553253400340 in words is "five hundred fifty-three billion, two hundred fifty-three million, four hundred thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 8273 16546 33092 41365 82730 115301 165460 230602 239917 461204 479834 576505 959668 1153010 1199585 2306020 2399170 3343729 4798340 6687458 13374916 16718645 33437290 66874580 953885173 1907770346 3815540692 4769425865 9538851730 19077703460 27662670017 55325340034 110650680068 138313350085 276626700170 553253400340