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48289380876 = 2235116767409
BaseRepresentation
bin101100111110010001…
…010111101000001100
311121122100222201100000
4230332101113220030
51242344040142001
634103413004300
73326440651662
oct547621275014
9147570881300
1048289380876
1119530107640
129438023690
134727545b69
1424a1482c32
1513c95e4a86
hexb3e457a0c

48289380876 has 144 divisors (see below), whose sum is σ = 140156714880. Its totient is φ = 14414526720.

The previous prime is 48289380847. The next prime is 48289380883. The reversal of 48289380876 is 67808398284.

48289380876 is a `hidden beast` number, since 482 + 8 + 9 + 3 + 80 + 8 + 76 = 666.

48289380876 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 682660 + ... + 750068.

It is an arithmetic number, because the mean of its divisors is an integer number (973310520).

Almost surely, 248289380876 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 48289380876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70078357440).

48289380876 is an abundant number, since it is smaller than the sum of its proper divisors (91867334004).

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

48289380876 is a wasteful number, since it uses less digits than its factorization.

48289380876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67506 (or 67492 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 48289380876 in words is "forty-eight billion, two hundred eighty-nine million, three hundred eighty thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 67 81 99 108 132 134 162 198 201 243 268 297 324 396 402 486 594 603 737 804 891 972 1188 1206 1474 1782 1809 2211 2412 2673 2948 3564 3618 4422 5346 5427 6633 7236 8844 10692 10854 13266 16281 19899 21708 26532 32562 39798 59697 65124 67409 79596 119394 134818 179091 202227 238788 269636 358182 404454 606681 716364 741499 808908 1213362 1482998 1820043 2224497 2426724 2965996 3640086 4448994 4516403 5460129 6673491 7280172 8897988 9032806 10920258 13346982 13549209 16380387 18065612 20020473 21840516 26693964 27098418 32760774 40040946 40647627 49680433 54196836 60061419 65521548 80081892 81295254 99360866 120122838 121942881 149041299 162590508 180184257 198721732 240245676 243885762 298082598 360368514 365828643 447123897 487771524 596165196 720737028 731657286 894247794 1097485929 1341371691 1463314572 1788495588 2194971858 2682743382 4024115073 4389943716 5365486764 8048230146 12072345219 16096460292 24144690438 48289380876