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54807278136 = 233137314471663
BaseRepresentation
bin110011000010110001…
…001011001000111000
312020110121120012111020
4303002301023020320
51344221130400021
641102250102440
73650114114622
oct630261131070
9166417505436
1054807278136
1121275309296
12a756a1aa20
1352259c1cc0
14291cd85c12
15165b92d7c6
hexcc2c4b238

54807278136 has 128 divisors (see below), whose sum is σ = 149772779520. Its totient is φ = 16611277824.

The previous prime is 54807278107. The next prime is 54807278143. The reversal of 54807278136 is 63187270845.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32956041 + ... + 32957703.

It is an arithmetic number, because the mean of its divisors is an integer number (1170099840).

Almost surely, 254807278136 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 54807278136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74886389760).

54807278136 is an abundant number, since it is smaller than the sum of its proper divisors (94965501384).

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

54807278136 is a wasteful number, since it uses less digits than its factorization.

54807278136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3205 (or 3201 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 51.

The spelling of 54807278136 in words is "fifty-four billion, eight hundred seven million, two hundred seventy-eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 73 78 104 146 156 219 292 312 438 584 876 949 1447 1663 1752 1898 2847 2894 3326 3796 4341 4989 5694 5788 6652 7592 8682 9978 11388 11576 13304 17364 18811 19956 21619 22776 34728 37622 39912 43238 56433 64857 75244 86476 105631 112866 121399 129714 150488 172952 211262 225732 242798 259428 316893 364197 422524 451464 485596 518856 633786 728394 845048 971192 1267572 1373203 1456788 1578187 2406361 2535144 2746406 2913576 3156374 4119609 4734561 4812722 5492812 6312748 7219083 8239218 9469122 9625444 10985624 12625496 14438166 16478436 18938244 19250888 28876332 31282693 32956872 37876488 57752664 62565386 93848079 125130772 175664353 187696158 250261544 351328706 375392316 526993059 702657412 750784632 1053986118 1405314824 2107972236 2283636589 4215944472 4567273178 6850909767 9134546356 13701819534 18269092712 27403639068 54807278136