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535015122133140 = 22335111631093505559
BaseRepresentation
bin111100110100101111110101…
…0010011011110000010010100
32121011022221112202100111012000
41321221133222103132002110
51030111141432231230030
65133514315401155300
7220456365323333055
oct17151375223360224
92534287482314160
10535015122133140
111455217036a0880
1250009621a8bb30
1319c6b92bb0606c
149618c276c672c
1541cbe877d5860
hex1e697ea4de094

535015122133140 has 384 divisors, whose sum is σ = 1828623947673600. Its totient is φ = 128786734702080.

The previous prime is 535015122133123. The next prime is 535015122133169. The reversal of 535015122133140 is 41331221510535.

It is a happy number.

535015122133140 is a `hidden beast` number, since 5 + 3 + 5 + 0 + 1 + 512 + 2 + 133 + 1 + 4 + 0 = 666.

It is a super-2 number, since 2×5350151221331402 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 535015122133095 and 535015122133104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1058011681 + ... + 1058517239.

It is an arithmetic number, because the mean of its divisors is an integer number (4762041530400).

Almost surely, 2535015122133140 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 535015122133140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914311973836800).

535015122133140 is an abundant number, since it is smaller than the sum of its proper divisors (1293608825540460).

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

535015122133140 is a wasteful number, since it uses less digits than its factorization.

535015122133140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506844 (or 506836 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Adding to 535015122133140 its reverse (41331221510535), we get a palindrome (576346343643675).

The spelling of 535015122133140 in words is "five hundred thirty-five trillion, fifteen billion, one hundred twenty-two million, one hundred thirty-three thousand, one hundred forty".