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87440601672 = 2332348492
BaseRepresentation
bin101000101101111011…
…1011011001001001000
322100200212220210122200
41101123313123021020
52413034243223142
6104100351320200
76213600564564
oct1213367331110
9270625823580
1087440601672
11340a0a38266
1214b43820060
1383267c69b8
1443370286a4
15241b81b64c
hex145bddb248

87440601672 has 36 divisors (see below), whose sum is σ = 236825091945. Its totient is φ = 29146030848.

The previous prime is 87440601671. The next prime is 87440601673. The reversal of 87440601672 is 27610604478.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

87440601672 is a `hidden beast` number, since 87 + 4 + 406 + 0 + 167 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (87440601671) and next prime (87440601673).

It can be written as a sum of positive squares in 2 ways, for example, as 58667621796 + 28772979876 = 242214^2 + 169626^2 .

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

It is an ABA number since it can be written as A⋅BA, here for A=2, B=209094.

It is a super-2 number, since 2×874406016722 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (87440601671) 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 8 ways as a sum of consecutive naturals, for example, 2491704 + ... + 2526552.

Almost surely, 287440601672 is an apocalyptic number.

It is an amenable number.

87440601672 is an abundant number, since it is smaller than the sum of its proper divisors (149384490273).

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

87440601672 is an frugal number, since it uses more digits than its factorization.

87440601672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69710 (or 34854 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 87440601672 in words is "eighty-seven billion, four hundred forty million, six hundred one thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 34849 69698 104547 139396 209094 278792 313641 418188 627282 836376 1254564 2509128 1214452801 2428905602 3643358403 4857811204 7286716806 9715622408 10930075209 14573433612 21860150418 29146867224 43720300836 87440601672