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87035020008741 = 347766920015767
BaseRepresentation
bin10011110010100001101011…
…011100110101110100100101
3102102011110121012010202210000
4103302201223130311310211
542401440210110234431
6505035200342251513
724222033634420440
oct2362415334656445
9372143535122700
1087035020008741
1125806387884372
129917b78126b99
1339744a08988bc
14176c735c24657
15a0dea981b9e6
hex4f286b735d25

87035020008741 has 40 divisors (see below), whose sum is σ = 148608270462080. Its totient is φ = 49727809554912.

The previous prime is 87035020008731. The next prime is 87035020008743. The reversal of 87035020008741 is 14780002053078.

87035020008741 is a `hidden beast` number, since 8 + 70 + 3 + 502 + 0 + 0 + 0 + 8 + 74 + 1 = 666.

It is not a de Polignac number, because 87035020008741 - 25 = 87035020008709 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87035020008743) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5659561 + ... + 14356206.

It is an arithmetic number, because the mean of its divisors is an integer number (3715206761552).

Almost surely, 287035020008741 is an apocalyptic number.

87035020008741 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

87035020008741 is a deficient number, since it is larger than the sum of its proper divisors (61573250453339).

87035020008741 is a wasteful number, since it uses less digits than its factorization.

87035020008741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20023455 (or 20023446 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 87035020008741 in words is "eighty-seven trillion, thirty-five billion, twenty million, eight thousand, seven hundred forty-one".

Divisors: 1 3 7 9 21 27 63 81 189 567 7669 23007 53683 69021 161049 207063 483147 621189 1449441 4348323 20015767 60047301 140110369 180141903 420331107 540425709 1260993321 1621277127 3782979963 11348939889 153500917123 460502751369 1074506419861 1381508254107 3223519259583 4144524762321 9670557778749 12433574286963 29011673336247 87035020008741