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52717315840 = 285737159017
BaseRepresentation
bin110001000110001100…
…100110011100000000
312001001221221010012021
4301012030212130000
51330431113101330
640115031011224
73544245535240
oct610614463400
9161057833167
1052717315840
11203a2606722
12a272b09b14
134c81a09c17
1427a158db20
1515881ea67a
hexc46326700

52717315840 has 144 divisors (see below), whose sum is σ = 148214953152. Its totient is φ = 17585897472.

The previous prime is 52717315829. The next prime is 52717315879. The reversal of 52717315840 is 4851371725.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252012 + ... + 411028.

It is an arithmetic number, because the mean of its divisors is an integer number (1029270508).

Almost surely, 252717315840 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 52717315840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74107476576).

52717315840 is an abundant number, since it is smaller than the sum of its proper divisors (95497637312).

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

52717315840 is a wasteful number, since it uses less digits than its factorization.

52717315840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159082 (or 159068 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 43.

The spelling of 52717315840 in words is "fifty-two billion, seven hundred seventeen million, three hundred fifteen thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 37 40 56 64 70 74 80 112 128 140 148 160 185 224 256 259 280 296 320 370 448 518 560 592 640 740 896 1036 1120 1184 1280 1295 1480 1792 2072 2240 2368 2590 2960 4144 4480 4736 5180 5920 8288 8960 9472 10360 11840 16576 20720 23680 33152 41440 47360 66304 82880 159017 165760 318034 331520 636068 795085 1113119 1272136 1590170 2226238 2544272 3180340 4452476 5088544 5565595 5883629 6360680 8904952 10177088 11131190 11767258 12721360 17809904 20354176 22262380 23534516 25442720 29418145 35619808 40708352 41185403 44524760 47069032 50885440 58836290 71239616 82370806 89049520 94138064 101770880 117672580 142479232 164741612 178099040 188276128 203541760 205927015 235345160 284958464 329483224 356198080 376552256 411854030 470690320 658966448 712396160 753104512 823708060 941380640 1317932896 1424792320 1506209024 1647416120 1882761280 2635865792 3294832240 3765522560 5271731584 6589664480 7531045120 10543463168 13179328960 26358657920 52717315840