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13534314424520 = 23523157607154369
BaseRepresentation
bin1100010011110011010000…
…0000001110100011001000
31202220212102122100121200212
43010330310000032203020
53233221233443041040
644441324521020252
72564551633311041
oct304746400164310
952825378317625
1013534314424520
11434896372121a
12162705a624688
13772384c9b1a6
1434b0c86938c8
151870d2a76d65
hexc4f3400e8c8

13534314424520 has 128 divisors (see below), whose sum is σ = 32031503308800. Its totient is φ = 5136853303296.

The previous prime is 13534314424481. The next prime is 13534314424541. The reversal of 13534314424520 is 2542441343531.

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 31 ways as a sum of consecutive naturals, for example, 87597896 + ... + 87752264.

It is an arithmetic number, because the mean of its divisors is an integer number (250246119600).

Almost surely, 213534314424520 is an apocalyptic number.

13534314424520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13534314424520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16015751654400).

13534314424520 is an abundant number, since it is smaller than the sum of its proper divisors (18497188884280).

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

13534314424520 is a wasteful number, since it uses less digits than its factorization.

13534314424520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155167 (or 155163 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 41.

The spelling of 13534314424520 in words is "thirteen trillion, five hundred thirty-four billion, three hundred fourteen million, four hundred twenty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 157 184 230 314 460 607 628 785 920 1214 1256 1570 2428 3035 3140 3611 4856 6070 6280 7222 12140 13961 14444 18055 24280 27922 28888 36110 55844 69805 72220 95299 111688 139610 144440 154369 190598 279220 308738 381196 476495 558440 617476 762392 771845 952990 1234952 1543690 1905980 2191877 3087380 3550487 3811960 4383754 6174760 7100974 8767508 10959385 14201948 17535016 17752435 21918770 24235933 28403896 35504870 43837540 48471866 71009740 87675080 93701983 96943732 121179665 142019480 187403966 193887464 242359330 374807932 468509915 484718660 557426459 749615864 937019830 969437320 1114852918 1874039660 2155145609 2229705836 2787132295 3748079320 4310291218 4459411672 5574264590 8620582436 10775728045 11148529180 14711211331 17241164872 21551456090 22297058360 29422422662 43102912180 58844845324 73556056655 86205824360 117689690648 147112113310 294224226620 338357860613 588448453240 676715721226 1353431442452 1691789303065 2706862884904 3383578606130 6767157212260 13534314424520