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5246666425 = 5272111361491
BaseRepresentation
bin1001110001011100…
…11100011010111001
3111112122112021021201
410320232130122321
541221121311200
62224342134201
7244005633400
oct47056343271
914478467251
105246666425
112252674160
121025121361
13657ca4b60
1437ab50637
1520a92cc6a
hex138b9c6b9

5246666425 has 144 divisors (see below), whose sum is σ = 9055295424. Its totient is φ = 2963520000.

The previous prime is 5246666377. The next prime is 5246666437.

5246666425 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-5246666425 is a prime.

Its product of digits (2073600) is a multiple of the sum of its prime factors (600).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10685430 + ... + 10685920.

It is an arithmetic number, because the mean of its divisors is an integer number (62883996).

Almost surely, 25246666425 is an apocalyptic number.

5246666425 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5246666425 is a deficient number, since it is larger than the sum of its proper divisors (3808628999).

5246666425 is a wasteful number, since it uses less digits than its factorization.

5246666425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 588 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 46.

The square root of 5246666425 is about 72433.8762251476. The cubic root of 5246666425 is about 1737.6453843808.

The spelling of 5246666425 in words is "five billion, two hundred forty-six million, six hundred sixty-six thousand, four hundred twenty-five".

Divisors: 1 5 7 11 13 25 35 49 55 61 65 77 91 143 175 245 275 305 325 385 427 455 491 539 637 671 715 793 1001 1225 1525 1925 2135 2275 2455 2695 2989 3185 3355 3437 3575 3965 4697 5005 5401 5551 6383 7007 8723 10675 12275 13475 14945 15925 16775 17185 19825 23485 24059 25025 27005 27755 29951 31915 32879 35035 37807 38857 43615 44681 61061 70213 74725 85925 117425 120295 135025 138775 149755 159575 164395 175175 189035 194285 209657 218075 223405 264649 305305 312767 329461 351065 389363 427427 491491 601475 748775 821975 945175 971425 1048285 1117025 1323245 1467599 1526525 1563835 1647305 1755325 1946815 2137135 2306227 2457455 2725541 3440437 4282993 5241425 6616225 7337995 7819175 8236525 9734075 10685675 11531135 12287275 13627705 16143589 17202185 19078787 21414965 29980951 36689975 57655675 68138525 80717945 86010925 95393935 107074825 149904755 209866657 403589725 476969675 749523775 1049333285 5246666425