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5145893676 = 223271117109199
BaseRepresentation
bin1001100101011100…
…00001101100101100
3111021121220111001200
410302232001230230
541014322044201
62210342205500
7241343242320
oct46256015454
914247814050
105145893676
1122007a50a0
12bb7423890
13640150701
1436b5db980
15201b74386
hex132b81b2c

5145893676 has 144 divisors (see below), whose sum is σ = 17171481600. Its totient is φ = 1257960960.

The previous prime is 5145893663. The next prime is 5145893717. The reversal of 5145893676 is 6763985415.

5145893676 is a `hidden beast` number, since 51 + 4 + 589 + 3 + 6 + 7 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7476 + ... + 101723.

It is an arithmetic number, because the mean of its divisors is an integer number (119246400).

Almost surely, 25145893676 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 5145893676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8585740800).

5145893676 is an abundant number, since it is smaller than the sum of its proper divisors (12025587924).

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

5145893676 is a wasteful number, since it uses less digits than its factorization.

5145893676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109244 (or 109239 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The square root of 5145893676 is about 71734.8846517509. The cubic root of 5145893676 is about 1726.4484006456.

The spelling of 5145893676 in words is "five billion, one hundred forty-five million, eight hundred ninety-three thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 11 12 14 17 18 21 22 28 33 34 36 42 44 51 63 66 68 77 84 99 102 119 126 132 153 154 187 198 204 231 238 252 306 308 357 374 396 462 476 561 612 693 714 748 924 1071 1122 1309 1386 1428 1683 2142 2244 2618 2772 3366 3927 4284 5236 6732 7854 11781 15708 23562 47124 109199 218398 327597 436796 655194 764393 982791 1201189 1310388 1528786 1856383 1965582 2293179 2402378 3057572 3603567 3712766 3931164 4586358 4804756 5569149 6879537 7207134 7425532 8408323 9172716 10810701 11138298 12994681 13759074 14414268 16707447 16816646 20420213 21621402 22276596 25224969 25989362 27518148 33414894 33633292 38984043 40840426 43242804 50449938 51978724 61260639 66829788 75674907 77968086 81680852 100899876 116952129 122521278 142941491 151349814 155936172 183781917 233904258 245042556 285882982 302699628 367563834 428824473 467808516 571765964 735127668 857648946 1286473419 1715297892 2572946838 5145893676