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5067980544 = 283112632281
BaseRepresentation
bin1001011100001001…
…10011111100000000
3111002012022002100010
410232010303330000
540334400334134
62154520224520
7236406060324
oct45604637400
914065262303
105067980544
112170819880
12b9530b140
13629c71173
14361119984
151e9dd3ce9
hex12e133f00

5067980544 has 144 divisors (see below), whose sum is σ = 14776844544. Its totient is φ = 1529241600.

The previous prime is 5067980513. The next prime is 5067980557. The reversal of 5067980544 is 4450897605.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 5067980493 and 5067980502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2220684 + ... + 2222964.

It is an arithmetic number, because the mean of its divisors is an integer number (102616976).

Almost surely, 25067980544 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 5067980544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7388422272).

5067980544 is an abundant number, since it is smaller than the sum of its proper divisors (9708864000).

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

5067980544 is a wasteful number, since it uses less digits than its factorization.

5067980544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2574 (or 2560 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The square root of 5067980544 is about 71189.7502734769. The cubic root of 5067980544 is about 1717.6907607910.

The spelling of 5067980544 in words is "five billion, sixty-seven million, nine hundred eighty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 263 264 352 384 526 528 704 768 789 1052 1056 1408 1578 2104 2112 2281 2816 2893 3156 4208 4224 4562 5786 6312 6843 8416 8448 8679 9124 11572 12624 13686 16832 17358 18248 23144 25091 25248 27372 33664 34716 36496 46288 50182 50496 54744 67328 69432 72992 75273 92576 100364 100992 109488 138864 145984 150546 185152 200728 201984 218976 277728 291968 301092 370304 401456 437952 555456 583936 599903 602184 740608 802912 875904 1110912 1199806 1204368 1605824 1751808 1799709 2221824 2399612 2408736 3211648 3599418 4799224 4817472 6423296 6598933 7198836 9598448 9634944 13197866 14397672 19196896 19269888 19796799 26395732 28795344 38393792 39593598 52791464 57590688 76787584 79187196 105582928 115181376 153575168 158374392 211165856 230362752 316748784 422331712 460725504 633497568 844663424 1266995136 1689326848 2533990272 5067980544