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54040310560 = 2552329350119
BaseRepresentation
bin110010010101000011…
…011011001100100000
312011111011101012202201
4302111003123030200
51341133304414220
640454211222544
73622112026555
oct622503331440
9164434335681
1054040310560
1120a1138a195
12a581ba7a54
135132b36432
142889178a2c
15161442dd0a
hexc950db320

54040310560 has 96 divisors (see below), whose sum is σ = 133678460160. Its totient is φ = 20605314048.

The previous prime is 54040310483. The next prime is 54040310573. The reversal of 54040310560 is 6501304045.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1053181 + ... + 1103299.

It is an arithmetic number, because the mean of its divisors is an integer number (1392483960).

Almost surely, 254040310560 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 54040310560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66839230080).

54040310560 is an abundant number, since it is smaller than the sum of its proper divisors (79638149600).

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

54040310560 is a wasteful number, since it uses less digits than its factorization.

54040310560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50450 (or 50442 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The spelling of 54040310560 in words is "fifty-four billion, forty million, three hundred ten thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 293 368 460 586 736 920 1172 1465 1840 2344 2930 3680 4688 5860 6739 9376 11720 13478 23440 26956 33695 46880 50119 53912 67390 100238 107824 134780 200476 215648 250595 269560 400952 501190 539120 801904 1002380 1078240 1152737 1603808 2004760 2305474 4009520 4610948 5763685 8019040 9221896 11527370 14684867 18443792 23054740 29369734 36887584 46109480 58739468 73424335 92218960 117478936 146848670 184437920 234957872 293697340 337751941 469915744 587394680 675503882 1174789360 1351007764 1688759705 2349578720 2702015528 3377519410 5404031056 6755038820 10808062112 13510077640 27020155280 54040310560