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46972324608 = 283115560171
BaseRepresentation
bin101011101111110001…
…001100101100000000
311111020120201022210020
4223233301030230000
51232144403341413
633325003533440
73252006112536
oct535761145400
9144216638706
1046972324608
1118a1471a790
12912ab2a280
134577718621
1423b85a2156
15134db85c23
hexaefc4cb00

46972324608 has 72 divisors (see below), whose sum is σ = 136379898816. Its totient is φ = 14234035200.

The previous prime is 46972324549. The next prime is 46972324643. The reversal of 46972324608 is 80642327964.

It is a super-3 number, since 3×469723246083 (a number of 33 digits) contains 333 as substring.

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 7 ways as a sum of consecutive naturals, for example, 2771638 + ... + 2788533.

Almost surely, 246972324608 is an apocalyptic number.

46972324608 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

46972324608 is an abundant number, since it is smaller than the sum of its proper divisors (89407574208).

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

46972324608 is a wasteful number, since it uses less digits than its factorization.

46972324608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5560201 (or 5560187 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 51.

The spelling of 46972324608 in words is "forty-six billion, nine hundred seventy-two million, three hundred twenty-four thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2816 4224 8448 5560171 11120342 16680513 22240684 33361026 44481368 61161881 66722052 88962736 122323762 133444104 177925472 183485643 244647524 266888208 355850944 366971286 489295048 533776416 711701888 733942572 978590096 1067552832 1423403776 1467885144 1957180192 2135105664 2935770288 3914360384 4270211328 5871540576 7828720768 11743081152 15657441536 23486162304 46972324608