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5096284776 = 233411264997
BaseRepresentation
bin1001011111100001…
…10010001001101000
3111011011120002110000
410233300302021220
540414122103101
62201411023000
7240201464052
oct45760621150
914134502400
105096284776
1121857a1200
12ba289aa60
13632aa132b
14364ba68d2
151ec625486
hex12fc32268

5096284776 has 120 divisors (see below), whose sum is σ = 15690192210. Its totient is φ = 1544304960.

The previous prime is 5096284771. The next prime is 5096284819. The reversal of 5096284776 is 6774826905.

5096284776 is a `hidden beast` number, since 5 + 0 + 9 + 628 + 4 + 7 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4940684100 + 155600676 = 70290^2 + 12474^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5096284771) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 45910 + ... + 110906.

Almost surely, 25096284776 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 5096284776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7845096105).

5096284776 is an abundant number, since it is smaller than the sum of its proper divisors (10593907434).

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

5096284776 is a wasteful number, since it uses less digits than its factorization.

5096284776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65037 (or 65013 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The square root of 5096284776 is about 71388.2677755946. The cubic root of 5096284776 is about 1720.8825441984.

It can be divided in two parts, 509 and 6284776, that added together give a triangular number (6285285 = T3545).

The spelling of 5096284776 in words is "five billion, ninety-six million, two hundred eighty-four thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 121 132 162 198 216 242 264 297 324 363 396 484 594 648 726 792 891 968 1089 1188 1452 1782 2178 2376 2904 3267 3564 4356 6534 7128 8712 9801 13068 19602 26136 39204 64997 78408 129994 194991 259988 389982 519976 584973 714967 779964 1169946 1429934 1559928 1754919 2144901 2339892 2859868 3509838 4289802 4679784 5264757 5719736 6434703 7019676 7864637 8579604 10529514 12869406 14039352 15729274 17159208 19304109 21059028 23593911 25738812 31458548 38608218 42118056 47187822 51477624 57912327 62917096 70781733 77216436 94375644 115824654 141563466 154432872 188751288 212345199 231649308 283126932 424690398 463298616 566253864 637035597 849380796 1274071194 1698761592 2548142388 5096284776