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63441006013120 = 2651932573203677
BaseRepresentation
bin11100110110011000000101…
…01000001010101011000000
322022121220022210021110110211
432123030002220022223000
531303404140014404440
6342532221255203504
716235314161441301
oct1633140250125300
9268556283243424
1063441006013120
111923a1a7a9981a
127147360676594
1329525cc3330c8
1411947bd8347a8
157503a5b94eea
hex39b302a0aac0

63441006013120 has 112 divisors (see below), whose sum is σ = 159068763761760. Its totient is φ = 24033413505024.

The previous prime is 63441006013117. The next prime is 63441006013123. The reversal of 63441006013120 is 2131060014436.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (63441006013117) and next prime (63441006013123).

It is a super-3 number, since 3×634410060131203 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (63441006013123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18200722 + ... + 21404398.

Almost surely, 263441006013120 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 63441006013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79534381880880).

63441006013120 is an abundant number, since it is smaller than the sum of its proper divisors (95627757748640).

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

63441006013120 is a wasteful number, since it uses less digits than its factorization.

63441006013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3206970 (or 3206960 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

Adding to 63441006013120 its reverse (2131060014436), we get a palindrome (65572066027556).

The spelling of 63441006013120 in words is "sixty-three trillion, four hundred forty-one billion, six million, thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 152 160 190 304 320 380 608 760 1216 1520 3040 3257 6080 6514 13028 16285 26056 32570 52112 61883 65140 104224 123766 130280 208448 247532 260560 309415 495064 521120 618830 990128 1042240 1237660 1980256 2475320 3203677 3960512 4950640 6407354 9901280 12814708 16018385 19802560 25629416 32036770 51258832 60869863 64073540 102517664 121739726 128147080 205035328 243479452 256294160 304349315 486958904 512588320 608698630 973917808 1025176640 1217397260 1947835616 2434794520 3895671232 4869589040 9739178080 10434375989 19478356160 20868751978 41737503956 52171879945 83475007912 104343759890 166950015824 198253143791 208687519780 333900031648 396506287582 417375039560 667800063296 793012575164 834750079120 991265718955 1586025150328 1669500158240 1982531437910 3172050300656 3339000316480 3965062875820 6344100601312 7930125751640 12688201202624 15860251503280 31720503006560 63441006013120