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663357047144 = 2311293139721121
BaseRepresentation
bin10011010011100110010…
…10010100000101101000
32100102020111022112011212
421221303022110011220
541332023401002034
61224424135412252
765632414603121
oct11516312240550
92312214275155
10663357047144
11236367839890
12a8690b24088
134a728a5190c
142416c923048
15123c71912ce
hex9a73294168

663357047144 has 128 divisors (see below), whose sum is σ = 1452652876800. Its totient is φ = 281014272000.

The previous prime is 663357047137. The next prime is 663357047159. The reversal of 663357047144 is 441740753366.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 663357047092 and 663357047101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31396904 + ... + 31418024.

It is an arithmetic number, because the mean of its divisors is an integer number (11348850600).

Almost surely, 2663357047144 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 663357047144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726326438400).

663357047144 is an abundant number, since it is smaller than the sum of its proper divisors (789295829656).

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

663357047144 is a wasteful number, since it uses less digits than its factorization.

663357047144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21595 (or 21591 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 50.

The spelling of 663357047144 in words is "six hundred sixty-three billion, three hundred fifty-seven million, forty-seven thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 29 31 44 58 62 88 116 124 232 248 319 341 397 638 682 794 899 1276 1364 1588 1798 2552 2728 3176 3596 4367 7192 8734 9889 11513 12307 17468 19778 21121 23026 24614 34936 39556 42242 46052 49228 79112 84484 92104 98456 126643 135377 168968 232331 253286 270754 356903 464662 506572 541508 612509 654751 713806 929324 1013144 1083016 1225018 1309502 1427612 1858648 2450036 2619004 2855224 3925933 4900072 5238008 6737599 7202261 7851866 8385037 13475198 14404522 15703732 16770074 18987779 26950396 28809044 31407464 33540148 37975558 53900792 57618088 67080296 75951116 92235407 151902232 184470814 208865569 243166073 259936147 368941628 417731138 486332146 519872294 737883256 835462276 972664292 1039744588 1670924552 1945328584 2079489176 2674826803 2859297617 5349653606 5718595234 7538148263 10699307212 11437190468 15076296526 21398614424 22874380936 30152593052 60305186104 82919630893 165839261786 331678523572 663357047144