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4610073380064 = 253192527452511
BaseRepresentation
bin100001100010101110111…
…0010010100010011100000
3121022201101221101111001220
41003011131302110103200
51101012412241130224
613445501035455040
7654031626115125
oct103053562242340
917281357344056
104610073380064
111518137269759
126255682b7480
132759606c6559
1411d1b33a874c
157edba37d279
hex4315dc944e0

4610073380064 has 48 divisors (see below), whose sum is σ = 12738360660480. Its totient is φ = 1455812645760.

The previous prime is 4610073380057. The next prime is 4610073380123. The reversal of 4610073380064 is 4600833700164.

It is a happy number.

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 = 4610073379998 and 4610073380025.

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, 1263724432 + ... + 1263728079.

It is an arithmetic number, because the mean of its divisors is an integer number (265382513760).

Almost surely, 24610073380064 is an apocalyptic number.

It is an amenable number.

4610073380064 is an abundant number, since it is smaller than the sum of its proper divisors (8128287280416).

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

4610073380064 is a wasteful number, since it uses less digits than its factorization.

4610073380064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2527452543 (or 2527452535 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 4610073380064 in words is "four trillion, six hundred ten billion, seventy-three million, three hundred eighty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 2527452511 5054905022 7582357533 10109810044 15164715066 20219620088 30329430132 40439240176 48021597709 60658860264 80878480352 96043195418 121317720528 144064793127 192086390836 242635441056 288129586254 384172781672 576259172508 768345563344 1152518345016 1536691126688 2305036690032 4610073380064