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1084807878464 = 26101241696361
BaseRepresentation
bin11111100100100111001…
…01101001011101000000
310211201002010102000211202
433302103211221131000
5120233141304102324
62150204233400332
7141242356553012
oct17622345513500
93751063360752
101084807878464
11389078848252
121562abb690a8
137b3b2502c4b
143a70d9521b2
151d341d8b8ae
hexfc93969740

1084807878464 has 56 divisors (see below), whose sum is σ = 2183002950216. Its totient is φ = 534804480000.

The previous prime is 1084807878457. The next prime is 1084807878491. The reversal of 1084807878464 is 4648787084801.

1084807878464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 785336260864 + 299471617600 = 886192^2 + 547240^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1084807878464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1209644 + ... + 1906004.

Almost surely, 21084807878464 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 1084807878464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091501475108).

1084807878464 is an abundant number, since it is smaller than the sum of its proper divisors (1098195071752).

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

1084807878464 is a wasteful number, since it uses less digits than its factorization.

1084807878464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696715 (or 696705 counting only the distinct ones).

The product of its (nonzero) digits is 77070336, while the sum is 65.

The spelling of 1084807878464 in words is "one trillion, eighty-four billion, eight hundred seven million, eight hundred seventy-eight thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 101 202 241 404 482 808 964 1616 1928 3232 3856 6464 7712 15424 24341 48682 97364 194728 389456 696361 778912 1392722 1557824 2785444 5570888 11141776 22283552 44567104 70332461 140664922 167823001 281329844 335646002 562659688 671292004 1125319376 1342584008 2250638752 2685168016 4501277504 5370336032 10740672064 16950123101 33900246202 67800492404 135600984808 271201969616 542403939232 1084807878464