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13998468818432 = 29731568922147
BaseRepresentation
bin1100101110110100010111…
…0000101110011000000000
31211120020111100201212112002
43023231011300232120000
53313322331004142212
645434450252323132
72643233051463260
oct313550560563000
954506440655462
1013998468818432
11450779878827a
1216a0bb6a734a8
137a7085964c57
1436575ad6d7a0
151941eb794ac2
hexcbb45c2e600

13998468818432 has 160 divisors (see below), whose sum is σ = 33003680962560. Its totient is φ = 5804533923840.

The previous prime is 13998468818423. The next prime is 13998468818461. The reversal of 13998468818432 is 23481886489931.

It is a super-2 number, since 2×139984688184322 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13998468818432.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 632059583 + ... + 632081729.

It is an arithmetic number, because the mean of its divisors is an integer number (206273006016).

Almost surely, 213998468818432 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 13998468818432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16501840481280).

13998468818432 is an abundant number, since it is smaller than the sum of its proper divisors (19005212144128).

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

13998468818432 is an equidigital number, since it uses as much as digits as its factorization.

13998468818432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27892 (or 27876 counting only the distinct ones).

The product of its digits is 573308928, while the sum is 74.

The spelling of 13998468818432 in words is "thirteen trillion, nine hundred ninety-eight billion, four hundred sixty-eight million, eight hundred eighteen thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 256 434 448 496 512 868 896 992 1736 1792 1984 3472 3584 3968 5689 6944 7936 11378 13888 15872 22147 22756 27776 39823 44294 45512 55552 79646 88588 91024 111104 155029 159292 176359 177176 182048 310058 318584 352718 354352 364096 620116 637168 686557 705436 708704 728192 1234513 1240232 1274336 1373114 1410872 1417408 1456384 2469026 2480464 2548672 2746228 2821744 2834816 2912768 4805899 4938052 4960928 5097344 5492456 5643488 5669632 9611798 9876104 9921856 10194688 10984912 11286976 11339264 19223596 19752208 19843712 20389376 21969824 22573952 38447192 39504416 39687424 43939648 45147904 76894384 79008832 79374848 87879296 90295808 125994283 153788768 158017664 175758592 251988566 307577536 316035328 351517184 503977132 615155072 632070656 881959981 1007954264 1230310144 1763919962 2015908528 2460620288 3527839924 3905822773 4031817056 7055679848 7811645546 8063634112 14111359696 15623291092 16127268224 27340759411 28222719392 31246582184 32254536448 54681518822 56445438784 62493164368 64509072896 109363037644 112890877568 124986328736 218726075288 225781755136 249972657472 437452150576 451563510272 499945314944 874904301152 999890629888 1749808602304 1999781259776 3499617204608 6999234409216 13998468818432