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534145541435 = 51141212745491
BaseRepresentation
bin1111100010111011000…
…11100010010100111011
31220001201112001221101022
413301131203202110323
532222412224311220
61045214424413055
753406424122002
oct7613543422473
91801645057338
10534145541435
11196591262130
128763031718b
133b4a6331c6c
141bbd2069c39
15dd63680925
hex7c5d8e253b

534145541435 has 48 divisors (see below), whose sum is σ = 722375110656. Its totient is φ = 376002144000.

The previous prime is 534145541407. The next prime is 534145541441.

534145541435 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 534145541435 - 224 = 534128764219 is a prime.

It is a super-2 number, since 2×5341455414352 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11719040 + ... + 11764530.

It is an arithmetic number, because the mean of its divisors is an integer number (15049481472).

Almost surely, 2534145541435 is an apocalyptic number.

534145541435 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

534145541435 is a deficient number, since it is larger than the sum of its proper divisors (188229569221).

534145541435 is a wasteful number, since it uses less digits than its factorization.

534145541435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45716 (or 45675 counting only the distinct ones).

The product of its digits is 1440000, while the sum is 44.

The spelling of 534145541435 in words is "five hundred thirty-four billion, one hundred forty-five million, five hundred forty-one thousand, four hundred thirty-five".

Divisors: 1 5 11 41 55 127 205 451 635 1397 1681 2255 5207 6985 8405 18491 26035 45491 57277 92455 213487 227455 286385 500401 1067435 1865131 2348357 2502005 5777357 9325655 11741785 20516441 28886785 63550927 76470371 102582205 236871637 317754635 382351855 841174081 1184358185 2605588007 4205870405 9711737117 13027940035 48558685585 106829108287 534145541435