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4666906797696 = 2732111345196269
BaseRepresentation
bin100001111101001100101…
…0100100110011010000000
3121112011002202111020102200
41003322121110212122000
51102430311120011241
613531540345113200
7661113205154223
oct103723124463200
917464082436380
104666906797696
11153a2512485a0
12634589788800
1327b11a0b5660
14121c454915ba
15815e4ad44b6
hex43e99526680

4666906797696 has 384 divisors, whose sum is σ = 15783335568000. Its totient is φ = 1304931409920.

The previous prime is 4666906797677. The next prime is 4666906797757. The reversal of 4666906797696 is 6967976096664.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×46669067976962 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 744438850 + ... + 744445118.

It is an arithmetic number, because the mean of its divisors is an integer number (41102436375).

Almost surely, 24666906797696 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 4666906797696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7891667784000).

4666906797696 is an abundant number, since it is smaller than the sum of its proper divisors (11116428770304).

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

4666906797696 is a wasteful number, since it uses less digits than its factorization.

4666906797696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10832 (or 10817 counting only the distinct ones).

The product of its (nonzero) digits is 6666395904, while the sum is 81.

The spelling of 4666906797696 in words is "four trillion, six hundred sixty-six billion, nine hundred six million, seven hundred ninety-seven thousand, six hundred ninety-six".