Search a number
-
+
6115763865456 = 243279916122327
BaseRepresentation
bin101100011111110111111…
…1011101100011101110000
3210122122212002200020020200
41120333233323230131300
51300200041022143311
621001313152235200
71200564221064120
oct130775773543560
923578762606220
106115763865456
111a4875429aa33
12829338b3bb00
13354938a2917b
1417200c6b4c80
15a91420c2556
hex58fefeec770

6115763865456 has 120 divisors (see below), whose sum is σ = 19580478388224. Its totient is φ = 1745597589120.

The previous prime is 6115763865451. The next prime is 6115763865493. The reversal of 6115763865456 is 6545683675116.

6115763865456 is a `hidden beast` number, since 6 + 1 + 1 + 5 + 7 + 6 + 3 + 86 + 545 + 6 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 6115763865393 and 6115763865402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6115763865451) 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, 2062236 + ... + 4060091.

Almost surely, 26115763865456 is an apocalyptic number.

It is an amenable number.

6115763865456 is an abundant number, since it is smaller than the sum of its proper divisors (13464714522768).

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

6115763865456 is a wasteful number, since it uses less digits than its factorization.

6115763865456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6123339 (or 6123330 counting only the distinct ones).

The product of its digits is 108864000, while the sum is 63.

The spelling of 6115763865456 in words is "six trillion, one hundred fifteen billion, seven hundred sixty-three million, eight hundred sixty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 991 1008 1982 2973 3964 5946 6937 7928 8919 11892 13874 15856 17838 20811 23784 27748 35676 41622 47568 55496 62433 71352 83244 110992 124866 142704 166488 249732 332976 499464 998928 6122327 12244654 18366981 24489308 36733962 42856289 48978616 55100943 73467924 85712578 97957232 110201886 128568867 146935848 171425156 220403772 257137734 293871696 342850312 385706601 440807544 514275468 685700624 771413202 881615088 1028550936 1542826404 2057101872 3085652808 6067226057 6171305616 12134452114 18201678171 24268904228 36403356342 42470582399 48537808456 54605034513 72806712684 84941164798 97075616912 109210069026 127411747197 145613425368 169882329596 218420138052 254823494394 291226850736 339764659192 382235241591 436840276104 509646988788 679529318384 764470483182 873680552208 1019293977576 1528940966364 2038587955152 3057881932728 6115763865456