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5037006976 = 27173189839
BaseRepresentation
bin1001011000011101…
…01010000010000000
3111000001000110120221
410230032222002000
540303433210401
62151452312424
7235551565351
oct45416520200
914001013527
105037006976
112155293991
12b86a72714
13623718001
1435ad75d28
151e73167a1
hex12c3aa080

5037006976 has 128 divisors (see below), whose sum is σ = 11104128000. Its totient is φ = 2265415680.

The previous prime is 5037006943. The next prime is 5037006983. The reversal of 5037006976 is 6796007305.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6003165 + ... + 6004003.

It is an arithmetic number, because the mean of its divisors is an integer number (86751000).

Almost surely, 25037006976 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 5037006976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5552064000).

5037006976 is an abundant number, since it is smaller than the sum of its proper divisors (6067121024).

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

5037006976 is a wasteful number, since it uses less digits than its factorization.

5037006976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 43.

The square root of 5037006976 is about 70971.8745419620. The cubic root of 5037006976 is about 1714.1843170079.

The spelling of 5037006976 in words is "five billion, thirty-seven million, six thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 17 31 32 34 62 64 68 89 124 128 136 178 248 272 356 496 527 544 712 839 992 1054 1088 1424 1513 1678 1984 2108 2176 2759 2848 3026 3356 3968 4216 5518 5696 6052 6712 8432 11036 11392 12104 13424 14263 16864 22072 24208 26009 26848 28526 33728 44144 46903 48416 52018 53696 57052 67456 74671 88288 93806 96832 104036 107392 114104 149342 176576 187612 193664 208072 228208 298684 353152 375224 416144 442153 456416 597368 750448 832288 884306 912832 1194736 1269407 1500896 1664576 1768612 1825664 2314801 2389472 2538814 3001792 3329152 3537224 4629602 4778944 5077628 6003584 7074448 9259204 9557888 10155256 14148896 18518408 20310512 28297792 37036816 39351617 40621024 56595584 74073632 78703234 81242048 148147264 157406468 162484096 296294528 314812936 629625872 1259251744 2518503488 5037006976