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6425037045 = 345725692
BaseRepresentation
bin1011111101111011…
…00100100011110101
3121120202211200220000
411332331210203311
5101124302141140
62541314501513
7315134625300
oct57675444365
917522750800
106425037045
1127a7847479
1212b3894899
137b516538b
1444d44db37
152790e4a30
hex17ef648f5

6425037045 has 90 divisors (see below), whose sum is σ = 13421465442. Its totient is φ = 2931997824.

The previous prime is 6425037043. The next prime is 6425037053. The reversal of 6425037045 is 5407305246.

6425037045 is a `hidden beast` number, since 6 + 42 + 503 + 70 + 45 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 13351716 + 6411685329 = 3654^2 + 80073^2 .

It is not a de Polignac number, because 6425037045 - 21 = 6425037043 is a prime.

It is a super-3 number, since 3×64250370453 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6425037041) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 11291521 + ... + 11292089.

Almost surely, 26425037045 is an apocalyptic number.

It is an amenable number.

6425037045 is an abundant number, since it is smaller than the sum of its proper divisors (6996428397).

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

6425037045 is an frugal number, since it uses more digits than its factorization.

6425037045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 6425037045 is about 80156.3287894350. The cubic root of 6425037045 is about 1859.0534596013.

The spelling of 6425037045 in words is "six billion, four hundred twenty-five million, thirty-seven thousand, forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 81 105 135 147 189 245 315 405 441 567 569 735 945 1323 1707 2205 2835 2845 3969 3983 5121 6615 8535 11949 15363 19845 19915 25605 27881 35847 46089 59745 76815 83643 107541 139405 179235 230445 250929 322623 323761 418215 537705 752787 971283 1254645 1613115 1618805 2258361 2266327 2913849 3763935 4856415 6798981 8741547 11291805 11331635 14569245 15864289 20396943 26224641 33994905 43707735 47592867 61190829 79321445 101984715 131123205 142778601 183572487 237964335 305954145 428335803 713893005 917862435 1285007409 2141679015 6425037045