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5010501672 = 23331114914153
BaseRepresentation
bin1001010101010011…
…00011000000101000
3110221012010212011000
410222221203000220
540230142023142
62145104235000
7235110363411
oct45251430050
913835125130
105010501672
112141330080
12b7a00ba60
1361b0978b7
14357636808
151e4d2d14c
hex12aa63028

5010501672 has 128 divisors (see below), whose sum is σ = 15286320000. Its totient is φ = 1508037120.

The previous prime is 5010501649. The next prime is 5010501673. The reversal of 5010501672 is 2761050105.

It is a super-2 number, since 2×50105016722 = 50210254010229591168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (5010501673) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 346948 + ... + 361100.

It is an arithmetic number, because the mean of its divisors is an integer number (119424375).

Almost surely, 25010501672 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 5010501672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7643160000).

5010501672 is an abundant number, since it is smaller than the sum of its proper divisors (10275818328).

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

5010501672 is a wasteful number, since it uses less digits than its factorization.

5010501672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14328 (or 14318 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 5010501672 is about 70784.8972027226. The cubic root of 5010501672 is about 1711.1722832662.

Adding to 5010501672 its reverse (2761050105), we get a palindrome (7771551777).

The spelling of 5010501672 in words is "five billion, ten million, five hundred one thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 149 198 216 264 297 298 396 447 594 596 792 894 1188 1192 1341 1639 1788 2376 2682 3278 3576 4023 4917 5364 6556 8046 9834 10728 13112 14153 14751 16092 19668 28306 29502 32184 39336 42459 44253 56612 59004 84918 88506 113224 118008 127377 155683 169836 177012 254754 311366 339672 354024 382131 467049 509508 622732 764262 934098 1019016 1245464 1401147 1528524 1868196 2108797 2802294 3057048 3736392 4203441 4217594 5604588 6326391 8406882 8435188 11209176 12652782 16813764 16870376 18979173 23196767 25305564 33627528 37958346 46393534 50611128 56937519 69590301 75916692 92787068 113875038 139180602 151833384 185574136 208770903 227750076 278361204 417541806 455500152 556722408 626312709 835083612 1252625418 1670167224 2505250836 5010501672