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63930021984 = 253337254049
BaseRepresentation
bin111011100010100001…
…101011100001100000
320010000101121121102000
4323202201223201200
52021412041200414
645211414124000
74422150135513
oct734241534140
9203011547360
1063930021984
1125126915814
1210482050600
13604aa1a09a
1431467ccd7a
1519e27a3b09
hexee286b860

63930021984 has 144 divisors (see below), whose sum is σ = 191641842000. Its totient is φ = 20733677568.

The previous prime is 63930021983. The next prime is 63930022049. The reversal of 63930021984 is 48912003936.

It is a happy number.

63930021984 is a `hidden beast` number, since 639 + 3 + 0 + 0 + 2 + 1 + 9 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63930021983) 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, 1155792 + ... + 1209840.

It is an arithmetic number, because the mean of its divisors is an integer number (1330846125).

Almost surely, 263930021984 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 63930021984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95820921000).

63930021984 is an abundant number, since it is smaller than the sum of its proper divisors (127711820016).

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

63930021984 is a wasteful number, since it uses less digits than its factorization.

63930021984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54142 (or 54091 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 63930021984 in words is "sixty-three billion, nine hundred thirty million, twenty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 72 74 96 108 111 144 148 216 222 288 296 333 432 444 592 666 864 888 999 1184 1332 1369 1776 1998 2664 2738 3552 3996 4107 5328 5476 7992 8214 10656 10952 12321 15984 16428 21904 24642 31968 32856 36963 43808 49284 54049 65712 73926 98568 108098 131424 147852 162147 197136 216196 295704 324294 394272 432392 486441 591408 648588 864784 972882 1182816 1297176 1459323 1729568 1945764 1999813 2594352 2918646 3891528 3999626 5188704 5837292 5999439 7783056 7999252 11674584 11998878 15566112 15998504 17998317 23349168 23997756 31997008 35996634 46698336 47995512 53994951 63994016 71993268 73993081 95991024 107989902 143986536 147986162 191982048 215979804 221979243 287973072 295972324 431959608 443958486 575946144 591944648 665937729 863919216 887916972 1183889296 1331875458 1727838432 1775833944 1997813187 2367778592 2663750916 3551667888 3995626374 5327501832 7103335776 7991252748 10655003664 15982505496 21310007328 31965010992 63930021984