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4130378964 = 2232114732749
BaseRepresentation
bin1111011000110000…
…1001010011010100
3101122212000222202200
43312030021103110
531424334111324
61521504204500
7204232433115
oct36614112324
911585028680
104130378964
11182a544938
12973309730
1350a94082a
142b27b220c
1519292aec9
hexf63094d4

4130378964 has 18 divisors (see below), whose sum is σ = 10440680250. Its totient is φ = 1376792976.

The previous prime is 4130378947. The next prime is 4130379013. The reversal of 4130378964 is 4698730314.

It can be written as a sum of positive squares in only one way, i.e., 3797024400 + 333354564 = 61620^2 + 18258^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 57366339 + ... + 57366410.

Almost surely, 24130378964 is an apocalyptic number.

It is an amenable number.

4130378964 is an abundant number, since it is smaller than the sum of its proper divisors (6310301286).

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

4130378964 is a wasteful number, since it uses less digits than its factorization.

4130378964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114732759 (or 114732754 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 4130378964 is about 64268.0244289491. The cubic root of 4130378964 is about 1604.4639616756.

The spelling of 4130378964 in words is "four billion, one hundred thirty million, three hundred seventy-eight thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 114732749 229465498 344198247 458930996 688396494 1032594741 1376792988 2065189482 4130378964