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535401152442 = 2321371277317367
BaseRepresentation
bin1111100101010000110…
…01010011111110111010
31220011222000201120212200
413302220121103332322
532233000143334232
61045543200451030
753452511464332
oct7625031237672
91804860646780
10535401152442
11197075aa1282
1287920919a76
133b6464c7760
141bcb0b140c2
15ddd8a0377c
hex7ca8653fba

535401152442 has 192 divisors, whose sum is σ = 1278924401664. Its totient is φ = 160882122240.

The previous prime is 535401152441. The next prime is 535401152449. The reversal of 535401152442 is 244251104535.

535401152442 is a `hidden beast` number, since 5 + 3 + 5 + 401 + 1 + 5 + 244 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 535401152397 and 535401152406.

It is not an unprimeable number, because it can be changed into a prime (535401152441) by changing a digit.

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, 1458858543 + ... + 1458858909.

It is an arithmetic number, because the mean of its divisors is an integer number (6661064592).

Almost surely, 2535401152442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 535401152442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639462200832).

535401152442 is an abundant number, since it is smaller than the sum of its proper divisors (743523249222).

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

535401152442 is a wasteful number, since it uses less digits than its factorization.

535401152442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 535401152442 its reverse (244251104535), we get a palindrome (779652256977).

The spelling of 535401152442 in words is "five hundred thirty-five billion, four hundred one million, one hundred fifty-two thousand, four hundred forty-two".