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16234072568 = 2371953479601
BaseRepresentation
bin11110001111010000…
…00100100111111000
31112220101021022222222
433013220010213320
5231221410310233
611242520303212
71113203224430
oct170750044770
945811238888
1016234072568
11698078aaaa
123190911b08
1316b94100cc
14b000a32c0
15650330898
hex3c7a049f8

16234072568 has 128 divisors (see below), whose sum is σ = 37449216000. Its totient is φ = 6442675200.

The previous prime is 16234072559. The next prime is 16234072573. The reversal of 16234072568 is 86527043261.

16234072568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 1274132-1.

It is a super-2 number, since 2×162340725682 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 27011468 + ... + 27012068.

It is an arithmetic number, because the mean of its divisors is an integer number (292572000).

Almost surely, 216234072568 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 16234072568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18724608000).

16234072568 is an abundant number, since it is smaller than the sum of its proper divisors (21215143432).

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

16234072568 is a wasteful number, since it uses less digits than its factorization.

16234072568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 44.

The spelling of 16234072568 in words is "sixteen billion, two hundred thirty-four million, seventy-two thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 14 19 28 38 53 56 76 106 133 152 212 266 371 424 479 532 601 742 958 1007 1064 1202 1484 1916 2014 2404 2968 3353 3832 4028 4207 4808 6706 7049 8056 8414 9101 11419 13412 14098 16828 18202 22838 25387 26824 28196 31853 33656 36404 45676 50774 56392 63706 63707 72808 79933 91352 101548 127412 127414 159866 177709 203096 222971 254824 254828 287879 319732 355418 445942 482353 509656 575758 605207 639464 710836 891884 964706 1151516 1210414 1421672 1783768 1929412 2015153 2303032 2420828 3376471 3858824 4030306 4236449 4841656 5469701 6752942 8060612 8472898 10939402 13505884 15257587 16121224 16945796 21878804 27011768 30515174 33891592 38287907 43757608 61030348 76575814 106803109 122060696 153151628 213606218 289894153 306303256 427212436 579788306 854424872 1159576612 2029259071 2319153224 4058518142 8117036284 16234072568