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54406613207740 = 225171512100150461
BaseRepresentation
bin11000101111011100001101…
…10110101000101010111100
321010122012222102100002121211
430113232012312220222330
524112344220440121430
6311414015243334204
714313514410602263
oct1427560666505274
9233565872302554
1054406613207740
11163767958619a2
126128448821364
1324486a1c97001
14d6141913d5da
15645392dc772a
hex317b86da8abc

54406613207740 has 96 divisors (see below), whose sum is σ = 121784073602688. Its totient is φ = 20345472000000.

The previous prime is 54406613207711. The next prime is 54406613207759. The reversal of 54406613207740 is 4770231660445.

It is a super-2 number, since 2×544066132077402 (a number of 28 digits) contains 22 as substring.

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, 1078166110 + ... + 1078216570.

It is an arithmetic number, because the mean of its divisors is an integer number (1268584100028).

Almost surely, 254406613207740 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 54406613207740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60892036801344).

54406613207740 is an abundant number, since it is smaller than the sum of its proper divisors (67377460394948).

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

54406613207740 is a wasteful number, since it uses less digits than its factorization.

54406613207740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71639 (or 71637 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 49.

The spelling of 54406613207740 in words is "fifty-four trillion, four hundred six billion, six hundred thirteen million, two hundred seven thousand, seven hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 151 170 302 340 604 755 1510 2567 3020 5134 10268 12835 21001 25670 42002 50461 51340 84004 100922 105005 201844 210010 252305 357017 420020 504610 714034 857837 1009220 1428068 1715674 1785085 3171151 3431348 3570170 4289185 6342302 7140340 7619611 8578370 12684604 15239222 15855755 17156740 30478444 31711510 38098055 53909567 63423020 76196110 107819134 129533387 152392220 215638268 259066774 269547835 518133548 539095670 647666935 1059731461 1078191340 1295333870 2119462922 2590667740 4238925844 5298657305 10597314610 18015434837 21194629220 36030869674 72061739348 90077174185 160019450611 180154348370 320038901222 360308696740 640077802444 800097253055 1600194506110 2720330660387 3200389012220 5440661320774 10881322641548 13601653301935 27203306603870 54406613207740