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47283105984 = 2635917832341
BaseRepresentation
bin101100000010010010…
…101111000011000000
311112001020111122200120
4230002102233003000
51233313433342414
633415505020240
73262501524642
oct540222570300
9145036448616
1047283105984
11190640983a4
1291b7024680
1345c6c1c82a
142407980892
15136b0c42a9
hexb024af0c0

47283105984 has 112 divisors (see below), whose sum is σ = 127349341440. Its totient is φ = 15478594560.

The previous prime is 47283105977. The next prime is 47283106001. The reversal of 47283105984 is 48950138274.

It is a happy number.

It is a super-2 number, since 2×472831059842 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20196654 + ... + 20198994.

Almost surely, 247283105984 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 47283105984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63674670720).

47283105984 is an abundant number, since it is smaller than the sum of its proper divisors (80066235456).

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

47283105984 is a wasteful number, since it uses less digits than its factorization.

47283105984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4198 (or 4188 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 47283105984 in words is "forty-seven billion, two hundred eighty-three million, one hundred five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 177 192 236 354 472 708 944 1416 1783 1888 2341 2832 3566 3776 4682 5349 5664 7023 7132 9364 10698 11328 14046 14264 18728 21396 28092 28528 37456 42792 56184 57056 74912 85584 105197 112368 114112 138119 149824 171168 210394 224736 276238 315591 342336 414357 420788 449472 552476 631182 828714 841576 1104952 1262364 1657428 1683152 2209904 2524728 3314856 3366304 4174003 4419808 5049456 6629712 6732608 8348006 8839616 10098912 12522009 13259424 16696012 20197824 25044018 26518848 33392024 50088036 66784048 100176072 133568096 200352144 246266177 267136192 400704288 492532354 738798531 801408576 985064708 1477597062 1970129416 2955194124 3940258832 5910388248 7880517664 11820776496 15761035328 23641552992 47283105984