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48016221984 = 253418524777
BaseRepresentation
bin101100101101111111…
…010110011100100000
311120221022222210210000
4230231333112130200
51241314123100414
634020334140000
73316613103243
oct545577263440
9146838883700
1048016221984
11193aa9a6295
129380651600
1346b2a85293
14247709925a
1513b0638b09
hexb2dfd6720

48016221984 has 60 divisors (see below), whose sum is σ = 141214382694. Its totient is φ = 16005406464.

The previous prime is 48016221977. The next prime is 48016221991. The reversal of 48016221984 is 48912261084.

48016221984 is a `hidden beast` number, since 4 + 8 + 0 + 1 + 622 + 19 + 8 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (48016221977) and next prime (48016221991).

It can be written as a sum of positive squares in only one way, i.e., 24220074384 + 23796147600 = 155628^2 + 154260^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9259797 + ... + 9264980.

Almost surely, 248016221984 is an apocalyptic number.

It is an amenable number.

48016221984 is an abundant number, since it is smaller than the sum of its proper divisors (93198160710).

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

48016221984 is a wasteful number, since it uses less digits than its factorization.

48016221984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18524799 (or 18524782 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 48016221984 in words is "forty-eight billion, sixteen million, two hundred twenty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 18524777 37049554 55574331 74099108 111148662 148198216 166722993 222297324 296396432 333445986 444594648 500168979 592792864 666891972 889189296 1000337958 1333783944 1500506937 1778378592 2000675916 2667567888 3001013874 4001351832 5335135776 6002027748 8002703664 12004055496 16005407328 24008110992 48016221984