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4097816702532 = 2232716261177391
BaseRepresentation
bin111011101000011000111…
…010001010111001000100
3112111202011220002001002200
4323220120322022321010
51014114312033440112
612414302213234500
7602025501155640
oct73503072127104
915452156061080
104097816702532
11133a968775aa3
12562226632a30
132395651a4087
1410249a42dc20
15718d86c6cdc
hex3ba18e8ae44

4097816702532 has 36 divisors (see below), whose sum is σ = 11838137141376. Its totient is φ = 1170804772080.

The previous prime is 4097816702461. The next prime is 4097816702533. The reversal of 4097816702532 is 2352076187904.

It is a happy number.

4097816702532 is a `hidden beast` number, since 4 + 0 + 97 + 8 + 16 + 7 + 0 + 2 + 532 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×40978167025322 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4097816702533) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8130588444 + ... + 8130588947.

It is an arithmetic number, because the mean of its divisors is an integer number (328837142816).

It is a 1-persistent number, because it is pandigital, but 2⋅4097816702532 = 8195633405064 is not.

Almost surely, 24097816702532 is an apocalyptic number.

4097816702532 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4097816702532 is an abundant number, since it is smaller than the sum of its proper divisors (7740320438844).

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

4097816702532 is a wasteful number, since it uses less digits than its factorization.

4097816702532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16261177408 (or 16261177403 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 4097816702532 in words is "four trillion, ninety-seven billion, eight hundred sixteen million, seven hundred two thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 16261177391 32522354782 48783532173 65044709564 97567064346 113828241737 146350596519 195134128692 227656483474 292701193038 341484725211 455312966948 585402386076 682969450422 1024454175633 1365938900844 2048908351266 4097816702532