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5063145408 = 26348271181
BaseRepresentation
bin1001011011100100…
…10111011111000000
3111001212012102210000
410231302113133000
540332131123113
62154224440000
7236320011606
oct45562273700
914055172700
105063145408
1121690170a2
12b93779000
13628c6a439
1436061b876
151e977b373
hex12dc977c0

5063145408 has 140 divisors (see below), whose sum is σ = 15039621432. Its totient is φ = 1684247040.

The previous prime is 5063145383. The next prime is 5063145421. The reversal of 5063145408 is 8045413605.

It is a happy number.

5063145408 is a `hidden beast` number, since 50 + 63 + 1 + 4 + 540 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4286578 + ... + 4287758.

Almost surely, 25063145408 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 5063145408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7519810716).

5063145408 is an abundant number, since it is smaller than the sum of its proper divisors (9976476024).

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

5063145408 is a wasteful number, since it uses less digits than its factorization.

5063145408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2032 (or 2013 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 5063145408 is about 71155.7826743547. The cubic root of 5063145408 is about 1717.1443293940.

The spelling of 5063145408 in words is "five billion, sixty-three million, one hundred forty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 827 864 1181 1296 1654 1728 2362 2481 2592 3308 3543 4724 4962 5184 6616 7086 7443 9448 9924 10629 13232 14172 14886 18896 19848 21258 22329 26464 28344 29772 31887 37792 39696 42516 44658 52928 56688 59544 63774 66987 75584 79392 85032 89316 95661 113376 119088 127548 133974 158784 170064 178632 191322 226752 238176 255096 267948 340128 357264 382644 476352 510192 535896 680256 714528 765288 976687 1020384 1071792 1429056 1530576 1953374 2040768 2143584 2930061 3061152 3906748 4287168 5860122 6122304 7813496 8790183 11720244 15626992 17580366 23440488 26370549 31253984 35160732 46880976 52741098 62507968 70321464 79111647 93761952 105482196 140642928 158223294 187523904 210964392 281285856 316446588 421928784 562571712 632893176 843857568 1265786352 1687715136 2531572704 5063145408