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76275230248 = 2372103218341
BaseRepresentation
bin100011100001001011…
…0111010011000101000
321021212202022011110201
41013002112322120220
52222202424331443
655012414521544
75340112521400
oct1070226723050
9237782264421
1076275230248
112a391419478
12129485062b4
13726754aa49
1439981cb800
151eb64b334d
hex11c25ba628

76275230248 has 72 divisors (see below), whose sum is σ = 168005658330. Its totient is φ = 32370246720.

The previous prime is 76275230243. The next prime is 76275230263. The reversal of 76275230248 is 84203257267.

It can be written as a sum of positive squares in only one way, i.e., 74276961444 + 1998268804 = 272538^2 + 44702^2 .

It is a junction number, because it is equal to n+sod(n) for n = 76275230198 and 76275230207.

It is not an unprimeable number, because it can be changed into a prime (76275230243) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4149558 + ... + 4167898.

Almost surely, 276275230248 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 76275230248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84002829165).

76275230248 is an abundant number, since it is smaller than the sum of its proper divisors (91730428082).

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

76275230248 is a wasteful number, since it uses less digits than its factorization.

76275230248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18567 (or 18453 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 46.

The spelling of 76275230248 in words is "seventy-six billion, two hundred seventy-five million, two hundred thirty thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 103 196 206 392 412 721 824 1442 2884 5047 5768 10094 10609 18341 20188 21218 36682 40376 42436 73364 74263 84872 128387 146728 148526 256774 297052 513548 519841 594104 898709 1027096 1039682 1797418 1889123 2079364 3594836 3778246 4158728 7189672 7556492 13223861 15112984 26447722 52895444 92567027 105790888 185134054 194579669 370268108 389159338 740536216 778318676 1362057683 1556637352 2724115366 5448230732 9534403781 10896461464 19068807562 38137615124 76275230248