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54014040520 = 235115313117681
BaseRepresentation
bin110010010011011111…
…001101100111001000
312011102022221120001021
4302103133031213020
51341110043244040
640451432202224
73621342524536
oct622337154710
9164368846037
1054014040520
11209a8577110
12a575239374
13512a56912b
14288589b156
151611e9024a
hexc937cd9c8

54014040520 has 128 divisors (see below), whose sum is σ = 136120279680. Its totient is φ = 19122688000.

The previous prime is 54014040491. The next prime is 54014040523. The reversal of 54014040520 is 2504041045.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (54014040523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3046080 + ... + 3063760.

It is an arithmetic number, because the mean of its divisors is an integer number (1063439685).

Almost surely, 254014040520 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 54014040520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68060139840).

54014040520 is an abundant number, since it is smaller than the sum of its proper divisors (82106239160).

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

54014040520 is a wasteful number, since it uses less digits than its factorization.

54014040520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17887 (or 17883 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 54014040520 its reverse (2504041045), we get a palindrome (56518081565).

The spelling of 54014040520 in words is "fifty-four billion, fourteen million, forty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 53 55 88 106 110 131 212 220 262 265 424 440 524 530 583 655 1048 1060 1166 1310 1441 2120 2332 2620 2882 2915 4664 5240 5764 5830 6943 7205 11528 11660 13886 14410 17681 23320 27772 28820 34715 35362 55544 57640 69430 70724 76373 88405 138860 141448 152746 176810 194491 277720 305492 353620 381865 388982 610984 707240 763730 777964 937093 972455 1527460 1555928 1874186 1944910 2316211 3054920 3748372 3889820 4632422 4685465 7496744 7779640 9264844 9370930 10308023 11581055 18529688 18741860 20616046 23162110 25478321 37483720 41232092 46324220 50956642 51540115 82464184 92648440 101913284 103080230 122759183 127391605 203826568 206160460 245518366 254783210 412320920 491036732 509566420 613795915 982073464 1019132840 1227591830 1350351013 2455183660 2700702026 4910367320 5401404052 6751755065 10802808104 13503510130 27007020260 54014040520