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54072705760 = 2553711380831
BaseRepresentation
bin110010010110111111…
…000000001011100000
312011120102100001121221
4302112333000023200
51341220103041020
640501325424424
73622654262323
oct622677001340
9164512301557
1054072705760
1120a286a6187
12a590a0b114
1351397696a8
14288d5ac7ba
1516171cc6aa
hexc96fc02e0

54072705760 has 96 divisors (see below), whose sum is σ = 132362076672. Its totient is φ = 20858019840.

The previous prime is 54072705697. The next prime is 54072705767. The reversal of 54072705760 is 6750727045.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54072705767) 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, 628545 + ... + 709375.

It is an arithmetic number, because the mean of its divisors is an integer number (1378771632).

Almost surely, 254072705760 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 54072705760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66181038336).

54072705760 is an abundant number, since it is smaller than the sum of its proper divisors (78289370912).

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

54072705760 is a wasteful number, since it uses less digits than its factorization.

54072705760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80996 (or 80988 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 43.

The spelling of 54072705760 in words is "fifty-four billion, seventy-two million, seven hundred five thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 113 148 160 185 226 296 370 452 565 592 740 904 1130 1184 1480 1808 2260 2960 3616 4181 4520 5920 8362 9040 16724 18080 20905 33448 41810 66896 80831 83620 133792 161662 167240 323324 334480 404155 646648 668960 808310 1293296 1616620 2586592 2990747 3233240 5981494 6466480 9133903 11962988 12932960 14953735 18267806 23925976 29907470 36535612 45669515 47851952 59814940 73071224 91339030 95703904 119629880 146142448 182678060 239259760 292284896 337954411 365356120 478519520 675908822 730712240 1351817644 1461424480 1689772055 2703635288 3379544110 5407270576 6759088220 10814541152 13518176440 27036352880 54072705760