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48011786928 = 2432755785513
BaseRepresentation
bin101100101101101110…
…011011101010110000
311120221000122111000200
4230231232123222300
51241312004140203
634020055115200
73316530312120
oct545556335260
9146830574020
1048011786928
11193a8447156
12937b072b00
1346b1b916a1
142476662c80
1513b005e9a3
hexb2db9bab0

48011786928 has 120 divisors (see below), whose sum is σ = 153839001888. Its totient is φ = 13692865536.

The previous prime is 48011786917. The next prime is 48011786957. The reversal of 48011786928 is 82968711084.

48011786928 is a `hidden beast` number, since 480 + 1 + 1 + 78 + 6 + 92 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 518700 + ... + 604212.

Almost surely, 248011786928 is an apocalyptic number.

48011786928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48011786928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76919500944).

48011786928 is an abundant number, since it is smaller than the sum of its proper divisors (105827214960).

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

48011786928 is a wasteful number, since it uses less digits than its factorization.

48011786928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86091 (or 86082 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 48011786928 in words is "forty-eight billion, eleven million, seven hundred eighty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 557 1008 1114 1671 2228 3342 3899 4456 5013 6684 7798 8912 10026 11697 13368 15596 20052 23394 26736 31192 35091 40104 46788 62384 70182 80208 85513 93576 140364 171026 187152 256539 280728 342052 513078 561456 598591 684104 769617 1026156 1197182 1368208 1539234 1795773 2052312 2394364 3078468 3591546 4104624 4788728 5387319 6156936 7183092 9577456 10774638 12313872 14366184 21549276 28732368 43098552 47630741 86197104 95261482 142892223 190522964 285784446 333415187 381045928 428676669 571568892 666830374 762091856 857353338 1000245561 1143137784 1333660748 1714706676 2000491122 2286275568 2667321496 3000736683 3429413352 4000982244 5334642992 6001473366 6858826704 8001964488 12002946732 16003928976 24005893464 48011786928