Search a number
-
+
7568198405916 = 223113157129727409
BaseRepresentation
bin110111000100001101111…
…0001110000111100011100
3222210111211202111200000120
41232020123301300330130
51442444132242442131
624032440553154540
71410533004012411
oct156103361607434
928714752450016
107568198405916
112458722774585
12a229263bba50
1342b8a7893235
141c2434aa2108
15d1ced6c2496
hex6e21bc70f1c

7568198405916 has 96 divisors (see below), whose sum is σ = 17943356988480. Its totient is φ = 2482475433984.

The previous prime is 7568198405903. The next prime is 7568198405917. The reversal of 7568198405916 is 6195048918657.

It is a super-2 number, since 2×75681984059162 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7568198405917) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 276107220 + ... + 276134628.

It is an arithmetic number, because the mean of its divisors is an integer number (186909968630).

Almost surely, 27568198405916 is an apocalyptic number.

It is an amenable number.

7568198405916 is an abundant number, since it is smaller than the sum of its proper divisors (10375158582564).

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

7568198405916 is a wasteful number, since it uses less digits than its factorization.

7568198405916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28983 (or 28981 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 69.

The spelling of 7568198405916 in words is "seven trillion, five hundred sixty-eight billion, one hundred ninety-eight million, four hundred five thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 12 113 157 226 314 339 452 471 628 678 942 1297 1356 1884 2594 3891 5188 7782 15564 17741 27409 35482 53223 54818 70964 82227 106446 109636 146561 164454 203629 212892 293122 328908 407258 439683 586244 610887 814516 879366 1221774 1758732 2443548 3097217 4303213 6194434 8606426 9291651 12388868 12909639 17212852 18583302 23010077 25819278 35549473 37166604 46020154 51638556 69030231 71098946 92040308 106648419 138060462 142197892 213296838 276120924 426593676 486263069 972526138 1458789207 1945052276 2917578414 4017090449 5581267261 5835156828 8034180898 11162534522 12051271347 16068361796 16743801783 22325069044 24102542694 33487603566 48205085388 66975207132 630683200493 1261366400986 1892049601479 2522732801972 3784099202958 7568198405916