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5252221520544 = 2531932141132403
BaseRepresentation
bin100110001101110000011…
…0011000100101010100000
3200121002220100101220211010
41030123200303010222200
51142023022202124134
615100500503020520
71051313642212155
oct114334063045240
920532810356733
105252221520544
111745500139aa9
12709aba43a740
132c138947b04b
141422cd23822c
15919505a8ce9
hex4c6e0cc4aa0

5252221520544 has 96 divisors (see below), whose sum is σ = 13865094782784. Its totient is φ = 1740842680320.

The previous prime is 5252221520501. The next prime is 5252221520551. The reversal of 5252221520544 is 4450251222525.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39602247 + ... + 39734649.

It is an arithmetic number, because the mean of its divisors is an integer number (144428070654).

Almost surely, 25252221520544 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 5252221520544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6932547391392).

5252221520544 is an abundant number, since it is smaller than the sum of its proper divisors (8612873262240).

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

5252221520544 is a wasteful number, since it uses less digits than its factorization.

5252221520544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134750 (or 134742 counting only the distinct ones).

The product of its (nonzero) digits is 320000, while the sum is 39.

The spelling of 5252221520544 in words is "five trillion, two hundred fifty-two billion, two hundred twenty-one million, five hundred twenty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 193 386 579 772 1158 1544 2141 2316 3088 4282 4632 6176 6423 8564 9264 12846 17128 18528 25692 34256 51384 68512 102768 132403 205536 264806 397209 413213 529612 794418 826426 1059224 1239639 1588836 1652852 2118448 2479278 3177672 3305704 4236896 4958556 6355344 6611408 9917112 12710688 13222816 19834224 25553779 39668448 51107558 76661337 102215116 153322674 204430232 283474823 306645348 408860464 566949646 613290696 817720928 850424469 1133899292 1226581392 1700848938 2267798584 2453162784 3401697876 4535597168 6803395752 9071194336 13606791504 27213583008 54710640839 109421281678 164131922517 218842563356 328263845034 437685126712 656527690068 875370253424 1313055380136 1750740506848 2626110760272 5252221520544