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648813216876 = 2231137199667561
BaseRepresentation
bin10010111000100000100…
…10000000010001101100
32022000200220112101201120
421130100102000101230
541112232140420001
61214021034540540
764606124230446
oct11342022002154
92260626471646
10648813216876
11230184167950
12a58b2297750
134924b8828a6
142358d125496
1511d25438236
hex971048046c

648813216876 has 96 divisors (see below), whose sum is σ = 1704686323200. Its totient is φ = 190334707200.

The previous prime is 648813216859. The next prime is 648813216917. The reversal of 648813216876 is 678612318846.

It is a super-2 number, since 2×6488132168762 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 638136 + ... + 1305696.

It is an arithmetic number, because the mean of its divisors is an integer number (17757149200).

Almost surely, 2648813216876 is an apocalyptic number.

648813216876 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 648813216876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852343161600).

648813216876 is an abundant number, since it is smaller than the sum of its proper divisors (1055873106324).

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

648813216876 is a wasteful number, since it uses less digits than its factorization.

648813216876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667815 (or 667813 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 60.

The spelling of 648813216876 in words is "six hundred forty-eight billion, eight hundred thirteen million, two hundred sixteen thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 199 222 398 407 444 597 796 814 1194 1221 1628 2189 2388 2442 4378 4884 6567 7363 8756 13134 14726 22089 26268 29452 44178 80993 88356 161986 242979 323972 485958 667561 971916 1335122 2002683 2670244 4005366 7343171 8010732 14686342 22029513 24699757 29372684 44059026 49399514 74099271 88118052 98799028 132844639 148198542 265689278 271697327 296397084 398533917 531378556 543394654 797067834 815091981 1086789308 1461291029 1594135668 1630183962 2922582058 3260367924 4383873087 4915251643 5845164116 8767746174 9830503286 14745754929 17535492348 19661006572 29491509858 54067768073 58983019716 108135536146 162203304219 216271072292 324406608438 648813216876