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87883921464 = 2336161996979
BaseRepresentation
bin101000111011001001…
…0100011100000111000
322101211210002210002020
41101312102203200320
52414441240441324
6104212345234440
76230563002243
oct1216622434070
9271753083066
1087883921464
11342a9200a59
1215048192a20
1383975c4bc1
144379c6825a
1524456da679
hex14764a3838

87883921464 has 64 divisors (see below), whose sum is σ = 223674672000. Its totient is φ = 28767553920.

The previous prime is 87883921459. The next prime is 87883921471. The reversal of 87883921464 is 46412938878.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 87883921398 and 87883921407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 857727 + ... + 954705.

It is an arithmetic number, because the mean of its divisors is an integer number (3494916750).

Almost surely, 287883921464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87883921464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111837336000).

87883921464 is an abundant number, since it is smaller than the sum of its proper divisors (135790750536).

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

87883921464 is a wasteful number, since it uses less digits than its factorization.

87883921464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97668 (or 97664 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 60.

The spelling of 87883921464 in words is "eighty-seven billion, eight hundred eighty-three million, nine hundred twenty-one thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 61 122 183 244 366 488 619 732 1238 1464 1857 2476 3714 4952 7428 14856 37759 75518 96979 113277 151036 193958 226554 290937 302072 387916 453108 581874 775832 906216 1163748 2327496 5915719 11831438 17747157 23662876 35494314 47325752 60030001 70988628 120060002 141977256 180090003 240120004 360180006 480240008 720360012 1440720024 3661830061 7323660122 10985490183 14647320244 21970980366 29294640488 43941960732 87883921464