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1407372706064 = 2413223128923539
BaseRepresentation
bin10100011110101101111…
…100110100000100010000
311222112200020001001212102
4110132231330310010100
5141024244403043224
62554312121215532
7203452002422633
oct24365574640420
94875606031772
101407372706064
114a29552254a6
121a89123315a8
13a293a1b6040
144c18d863c1a
152692054a4ae
hex147adf34110

1407372706064 has 80 divisors (see below), whose sum is σ = 2952119385600. Its totient is φ = 646114710528.

The previous prime is 1407372706049. The next prime is 1407372706109. The reversal of 1407372706064 is 4606072737041.

It is a super-2 number, since 2×14073727060642 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 59777207 + ... + 59800745.

It is an arithmetic number, because the mean of its divisors is an integer number (36901492320).

Almost surely, 21407372706064 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 1407372706064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476059692800).

1407372706064 is an abundant number, since it is smaller than the sum of its proper divisors (1544746679536).

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

1407372706064 is a wasteful number, since it uses less digits than its factorization.

1407372706064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25072 (or 25066 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 47.

The spelling of 1407372706064 in words is "one trillion, four hundred seven billion, three hundred seventy-two million, seven hundred six thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 223 446 892 1289 1784 2578 2899 3568 5156 5798 10312 11596 16757 20624 23192 23539 33514 46384 47078 67028 94156 134056 188312 268112 287447 306007 376624 574894 612014 1149788 1224028 2299576 2448056 3736811 4599152 4896112 5249197 7473622 10498394 14947244 20996788 29894488 30341771 41993576 59788976 60683542 68239561 83987152 121367084 136479122 242734168 272958244 394443023 485468336 545916488 788886046 1091832976 1577772092 3155544184 6311088368 6766214933 13532429866 27064859732 54129719464 87960794129 108259438928 175921588258 351843176516 703686353032 1407372706064