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48538068984 = 23324764322307
BaseRepresentation
bin101101001101000110…
…000010011111111000
311122021200221101021200
4231031012002133320
51243401221201414
634144215134200
73335550531126
oct551506023770
9148250841250
1048538068984
11196485246a9
1294a7374360
134766c193a2
1424c64da916
1513e136a109
hexb4d1827f8

48538068984 has 96 divisors (see below), whose sum is σ = 134469054720. Its totient is φ = 15809779008.

The previous prime is 48538068983. The next prime is 48538069103. The reversal of 48538068984 is 48986083584.

48538068984 is a `hidden beast` number, since 4 + 8 + 538 + 0 + 6 + 8 + 98 + 4 = 666.

48538068984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48538068983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2164759 + ... + 2187065.

It is an arithmetic number, because the mean of its divisors is an integer number (1400719320).

Almost surely, 248538068984 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 48538068984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67234527360).

48538068984 is an abundant number, since it is smaller than the sum of its proper divisors (85930985736).

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

48538068984 is a wasteful number, since it uses less digits than its factorization.

48538068984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23009 (or 23002 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 48538068984 in words is "forty-eight billion, five hundred thirty-eight million, sixty-eight thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 376 423 564 643 846 1128 1286 1692 1929 2572 3384 3858 5144 5787 7716 11574 15432 22307 23148 30221 44614 46296 60442 66921 89228 90663 120884 133842 178456 181326 200763 241768 267684 271989 362652 401526 535368 543978 725304 803052 1048429 1087956 1606104 2096858 2175912 3145287 4193716 6290574 8387432 9435861 12581148 14343401 18871722 25162296 28686802 37743444 43030203 57373604 75486888 86060406 114747208 129090609 172120812 258181218 344241624 516362436 674139847 1032724872 1348279694 2022419541 2696559388 4044839082 5393118776 6067258623 8089678164 12134517246 16179356328 24269034492 48538068984