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132028347503472 = 24375871016365867
BaseRepresentation
bin11110000001010000111110…
…110000001101001101110000
3122022110210020112200112000220
4132001100332300031031300
5114301123023430102342
61144444552512213040
736544506350052330
oct3601207660151560
9568423215615026
10132028347503472
11390829a9214a32
1212983b8a53a180
1358892b1a28044
1424862c58190c0
15103e5610815ec
hex78143ec0d370

132028347503472 has 160 divisors (see below), whose sum is σ = 390506377992192. Its totient is φ = 37653844906752.

The previous prime is 132028347503467. The next prime is 132028347503473. The reversal of 132028347503472 is 274305743820231.

It is a super-2 number, since 2×1320283475034722 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132028347503473) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2004435883 + ... + 2004501749.

Almost surely, 2132028347503472 is an apocalyptic number.

132028347503472 is a gapful number since it is divisible by the number (12) 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 132028347503472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195253188996096).

132028347503472 is an abundant number, since it is smaller than the sum of its proper divisors (258478030488720).

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

132028347503472 is a wasteful number, since it uses less digits than its factorization.

132028347503472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76635 (or 76629 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 51.

The spelling of 132028347503472 in words is "one hundred thirty-two trillion, twenty-eight billion, three hundred forty-seven million, five hundred three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 587 1174 1761 2348 3522 4109 4696 7044 8218 9392 10163 12327 14088 16436 20326 24654 28176 30489 32872 40652 49308 60978 65744 65867 71141 81304 98616 121956 131734 142282 162608 197232 197601 213423 243912 263468 284564 395202 426846 461069 487824 526936 569128 790404 853692 922138 1053872 1138256 1383207 1580808 1707384 1844276 2766414 3161616 3414768 3688552 5532828 5965681 7377104 11065656 11931362 17897043 22131312 23862724 35794086 38663929 41759767 47725448 71588172 77327858 83519534 95450896 115991787 125279301 143176344 154655716 167039068 231983574 250558602 270647503 286352688 309311432 334078136 463967148 501117204 541295006 618622864 668156272 669406321 811942509 927934296 1002234408 1082590012 1338812642 1623885018 1855868592 2004468816 2008218963 2165180024 2677625284 3247770036 4016437926 4330360048 4685844247 5355250568 6495540072 8032875852 9371688494 10710501136 12991080144 14057532741 16065751704 18743376988 28115065482 32131503408 37486753976 56230130964 74973507952 112460261928 224920523856 392941510427 785883020854 1178824531281 1571766041708 2357649062562 2750590572989 3143532083416 4715298125124 5501181145978 6287064166832 8251771718967 9430596250248 11002362291956 16503543437934 18861192500496 22004724583912 33007086875868 44009449167824 66014173751736 132028347503472