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874978287072 = 25317551519307
BaseRepresentation
bin11001011101110001100…
…01010001110111100000
310002122110202000100212220
430232320301101313200
5103313423420141242
61505543125151040
7120133530504111
oct14567061216740
93078422010786
10874978287072
113080924835aa
121216b055b480
13646828bc906
14304c61ca208
1517b609babec
hexcbb8c51de0

874978287072 has 48 divisors (see below), whose sum is σ = 2296953292032. Its totient is φ = 291642249600.

The previous prime is 874978287031. The next prime is 874978287089. The reversal of 874978287072 is 270782879478.

874978287072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 874978286988 and 874978287006.

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, 1425243 + ... + 1944549.

It is an arithmetic number, because the mean of its divisors is an integer number (47853193584).

Almost surely, 2874978287072 is an apocalyptic number.

It is an amenable number.

874978287072 is an abundant number, since it is smaller than the sum of its proper divisors (1421975004960).

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

874978287072 is a wasteful number, since it uses less digits than its factorization.

874978287072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536871 (or 536863 counting only the distinct ones).

The product of its (nonzero) digits is 177020928, while the sum is 69.

It can be divided in two parts, 874978 and 287072, that added together give a triangular number (1162050 = T1524).

The spelling of 874978287072 in words is "eight hundred seventy-four billion, nine hundred seventy-eight million, two hundred eighty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 17551 35102 52653 70204 105306 140408 210612 280816 421224 519307 561632 842448 1038614 1557921 1684896 2077228 3115842 4154456 6231684 8308912 12463368 16617824 24926736 49853472 9114357157 18228714314 27343071471 36457428628 54686142942 72914857256 109372285884 145829714512 218744571768 291659429024 437489143536 874978287072