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4130379504 = 243297295703
BaseRepresentation
bin1111011000110000…
…1001011011110000
3101122212001000111200
43312030021123300
531424334121004
61521504211200
7204232434516
oct36614113360
911585030450
104130379504
11182a545289
12973309b00
1350a940b54
142b27b24b6
1519292b239
hexf63096f0

4130379504 has 60 divisors (see below), whose sum is σ = 11678533776. Its totient is φ = 1362594816.

The previous prime is 4130379497. The next prime is 4130379509. The reversal of 4130379504 is 4059730314.

4130379504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4130379509) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133884 + ... + 161819.

Almost surely, 24130379504 is an apocalyptic number.

It is an amenable number.

4130379504 is an abundant number, since it is smaller than the sum of its proper divisors (7548154272).

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

4130379504 is a wasteful number, since it uses less digits than its factorization.

4130379504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295814 (or 295805 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 4130379504 is about 64268.0286301050. The cubic root of 4130379504 is about 1604.4640315974.

The spelling of 4130379504 in words is "four billion, one hundred thirty million, three hundred seventy-nine thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 97 144 194 291 388 582 776 873 1164 1552 1746 2328 3492 4656 6984 13968 295703 591406 887109 1182812 1774218 2365624 2661327 3548436 4731248 5322654 7096872 10645308 14193744 21290616 28683191 42581232 57366382 86049573 114732764 172099146 229465528 258148719 344198292 458931056 516297438 688396584 1032594876 1376793168 2065189752 4130379504