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534375377640 = 2332513293937337
BaseRepresentation
bin1111100011010110100…
…00010010101011101000
31220002022112112211101100
413301223100102223220
532223400044041030
61045253314521400
753415214523256
oct7615320225350
91802275484340
10534375377640
11196699a73505
1287695296260
133b511b34810
141bc147b75d6
15dd78930360
hex7c6b412ae8

534375377640 has 192 divisors, whose sum is σ = 1934807893200. Its totient is φ = 127002710016.

The previous prime is 534375377639. The next prime is 534375377647. The reversal of 534375377640 is 46773573435.

534375377640 is a `hidden beast` number, since 5 + 3 + 4 + 37 + 537 + 76 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 292423540644 + 241951836996 = 540762^2 + 491886^2 .

It is a super-2 number, since 2×5343753776402 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (534375377647) 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, 1832949 + ... + 2104388.

Almost surely, 2534375377640 is an apocalyptic number.

It is an amenable number.

534375377640 is an abundant number, since it is smaller than the sum of its proper divisors (1400432515560).

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

534375377640 is a wasteful number, since it uses less digits than its factorization.

534375377640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3937396 (or 3937389 counting only the distinct ones).

The product of its (nonzero) digits is 22226400, while the sum is 54.

The spelling of 534375377640 in words is "five hundred thirty-four billion, three hundred seventy-five million, three hundred seventy-seven thousand, six hundred forty".