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53985047472 = 24321943345569
BaseRepresentation
bin110010010001110000…
…100111001110110000
312011100022101120001200
4302101300213032300
51341030133004342
640444514531200
73620541221646
oct622160471660
9164308346050
1053985047472
1120993174214
12a567596b00
135124557595
142881ab1196
15160e66494c
hexc91c273b0

53985047472 has 120 divisors (see below), whose sum is σ = 159405682800. Its totient is φ = 17008164864.

The previous prime is 53985047461. The next prime is 53985047477. The reversal of 53985047472 is 27474058935.

It is a happy number.

53985047472 is a `hidden beast` number, since 5 + 3 + 98 + 504 + 7 + 47 + 2 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (53985047477) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1161904 + ... + 1207472.

It is an arithmetic number, because the mean of its divisors is an integer number (1328380690).

Almost surely, 253985047472 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 53985047472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79702841400).

53985047472 is an abundant number, since it is smaller than the sum of its proper divisors (105420635328).

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

53985047472 is a wasteful number, since it uses less digits than its factorization.

53985047472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46035 (or 46026 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 53985047472 in words is "fifty-three billion, nine hundred eighty-five million, forty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 433 456 684 866 912 1299 1368 1732 2598 2736 3464 3897 5196 6928 7794 8227 10392 15588 16454 20784 24681 31176 32908 45569 49362 62352 65816 74043 91138 98724 131632 136707 148086 182276 197448 273414 296172 364552 394896 410121 546828 592344 729104 820242 865811 1093656 1184688 1640484 1731622 2187312 2597433 3280968 3463244 5194866 6561936 6926488 7792299 10389732 13852976 15584598 19731377 20779464 31169196 39462754 41558928 59194131 62338392 78925508 118388262 124676784 157851016 177582393 236776524 315702032 355164786 374896163 473553048 710329572 749792326 947106096 1124688489 1420659144 1499584652 2249376978 2841318288 2999169304 3374065467 4498753956 5998338608 6748130934 8997507912 13496261868 17995015824 26992523736 53985047472