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1007865329416 = 231117897569739
BaseRepresentation
bin11101010101010010111…
…01000111011100001000
310120100110212102120001221
432222221131013130020
5113003102011020131
62051001255451424
7132546561643411
oct16525135073410
93510425376057
101007865329416
11359484781340
121433b8086b74
137406c94930a
1436ad0c96808
151b33c00e411
hexeaa9747708

1007865329416 has 64 divisors (see below), whose sum is σ = 2207336184000. Its totient is φ = 426327644160.

The previous prime is 1007865329381. The next prime is 1007865329431. The reversal of 1007865329416 is 6149235687001.

1007865329416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 3651726 + ... + 3918013.

It is an arithmetic number, because the mean of its divisors is an integer number (34489627875).

It is a 1-persistent number, because it is pandigital, but 2⋅1007865329416 = 2015730658832 is not.

Almost surely, 21007865329416 is an apocalyptic number.

It is an amenable number.

1007865329416 is an abundant number, since it is smaller than the sum of its proper divisors (1199470854584).

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

1007865329416 is a wasteful number, since it uses less digits than its factorization.

1007865329416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7569862 (or 7569858 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 52.

The spelling of 1007865329416 in words is "one trillion, seven billion, eight hundred sixty-five million, three hundred twenty-nine thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 89 136 178 187 356 374 712 748 979 1496 1513 1958 3026 3916 6052 7832 12104 16643 33286 66572 133144 7569739 15139478 30278956 60557912 83267129 128685563 166534258 257371126 333068516 514742252 666137032 673706771 1029484504 1347413542 1415541193 2694827084 2831082386 5389654168 5662164772 7410774481 11324329544 11453015107 14821548962 22906030214 29643097924 45812060428 59286195848 91624120856 125983166177 251966332354 503932664708 1007865329416