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10050661664 = 2517363929
BaseRepresentation
bin10010101110001000…
…01110110100100000
3221221110002111212022
421113010032310200
5131040432133124
64341152321012
7504031133411
oct112704166440
927843074768
1010050661664
11429837795a
121b45b43168
13c42347aa4
146b4b8d808
153dc568c5e
hex25710ed20

10050661664 has 48 divisors (see below), whose sum is σ = 21024019800. Its totient is φ = 4729649152.

The previous prime is 10050661597. The next prime is 10050661669. The reversal of 10050661664 is 46616605001.

It can be written as a sum of positive squares in 4 ways, for example, as 7079539600 + 2971122064 = 84140^2 + 54508^2 .

It is not an unprimeable number, because it can be changed into a prime (10050661669) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125252 + ... + 189180.

Almost surely, 210050661664 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 10050661664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10512009900).

10050661664 is an abundant number, since it is smaller than the sum of its proper divisors (10973358136).

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

10050661664 is an frugal number, since it uses more digits than its factorization.

10050661664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63990 (or 63948 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The spelling of 10050661664 in words is "ten billion, fifty million, six hundred sixty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 289 544 578 1156 2312 4624 4913 9248 9826 19652 39304 63929 78608 127858 157216 255716 511432 1022864 1086793 2045728 2173586 4347172 8694344 17388688 18475481 34777376 36950962 73901924 147803848 295607696 314083177 591215392 628166354 1256332708 2512665416 5025330832 10050661664