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68277472384 = 2711674791511
BaseRepresentation
bin111111100101101001…
…111000110010000000
320112020101002222012111
4333211221320302000
52104313013104014
651211035105104
74634656640152
oct774551706200
9215211088174
1068277472384
1126a57942630
1211295ba2194
136591611344
143439d48ad2
151b992ac2c4
hexfe5a78c80

68277472384 has 128 divisors (see below), whose sum is σ = 151016140800. Its totient is φ = 30487987200.

The previous prime is 68277472357. The next prime is 68277472387. The reversal of 68277472384 is 48327477286.

68277472384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (68277472387) 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, 45186189 + ... + 45187699.

It is an arithmetic number, because the mean of its divisors is an integer number (1179813600).

Almost surely, 268277472384 is an apocalyptic number.

68277472384 is a gapful number since it is divisible by the number (64) 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 68277472384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75508070400).

68277472384 is an abundant number, since it is smaller than the sum of its proper divisors (82738668416).

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

68277472384 is a wasteful number, since it uses less digits than its factorization.

68277472384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2082 (or 2070 counting only the distinct ones).

The product of its digits is 25288704, while the sum is 58.

The spelling of 68277472384 in words is "sixty-eight billion, two hundred seventy-seven million, four hundred seventy-two thousand, three hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 67 88 128 134 176 268 352 479 536 704 737 958 1072 1408 1474 1511 1916 2144 2948 3022 3832 4288 5269 5896 6044 7664 8576 10538 11792 12088 15328 16621 21076 23584 24176 30656 32093 33242 42152 47168 48352 61312 64186 66484 84304 94336 96704 101237 128372 132968 168608 193408 202474 256744 265936 337216 353023 404948 513488 531872 674432 706046 723769 809896 1026976 1063744 1113607 1412092 1447538 1619792 2053952 2127488 2227214 2824184 2895076 3239584 4107904 4454428 5648368 5790152 6479168 7961459 8908856 11296736 11580304 12958336 15922918 17817712 22593472 23160608 31845836 35635424 45186944 46321216 48492523 63691672 71270848 92642432 96985046 127383344 142541696 193970092 254766688 387940184 509533376 533417753 775880368 1019066752 1066835506 1551760736 2133671012 3103521472 4267342024 6207042944 8534684048 17069368096 34138736192 68277472384