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64121205984 = 25311483112569
BaseRepresentation
bin111011101101111010…
…111111010011100000
320010111201100202112220
4323231322333103200
52022310012042414
645242403551040
74426661154333
oct735572772340
9203451322486
1064121205984
1125214827120
121051608b480
13607b508704
143163d5861a
151a0446aca9
hexeedebf4e0

64121205984 has 96 divisors (see below), whose sum is σ = 183672437760. Its totient is φ = 19425100800.

The previous prime is 64121205917. The next prime is 64121206027. The reversal of 64121205984 is 48950212146.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×641212059842 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5095252 + ... + 5107820.

It is an arithmetic number, because the mean of its divisors is an integer number (1913254560).

Almost surely, 264121205984 is an apocalyptic number.

It is an amenable number.

64121205984 is an abundant number, since it is smaller than the sum of its proper divisors (119551231776).

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

64121205984 is a wasteful number, since it uses less digits than its factorization.

64121205984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17424 (or 17416 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 64121205984 in words is "sixty-four billion, one hundred twenty-one million, two hundred five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 4831 9662 12569 14493 19324 25138 28986 37707 38648 50276 53141 57972 75414 77296 100552 106282 115944 138259 150828 154592 159423 201104 212564 231888 276518 301656 318846 402208 414777 425128 463776 553036 603312 637692 829554 850256 1106072 1206624 1275384 1659108 1700512 2212144 2550768 3318216 4424288 5101536 6636432 13272864 60720839 121441678 182162517 242883356 364325034 485766712 667929229 728650068 971533424 1335858458 1457300136 1943066848 2003787687 2671716916 2914600272 4007575374 5343433832 5829200544 8015150748 10686867664 16030301496 21373735328 32060602992 64121205984