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1201989262752 = 2532139130722973
BaseRepresentation
bin10001011111011100001…
…001001001110110100000
311020220112200212010110200
4101133130021021312200
5124143133222402002
62320104121225200
7152561262104625
oct21373411116640
94226480763420
101201989262752
1142384066a6a3
12174b53932200
1389468772a65
14422687ca34c
15213ee67bb1c
hex117dc249da0

1201989262752 has 144 divisors (see below), whose sum is σ = 3445532082720. Its totient is φ = 397458971136.

The previous prime is 1201989262711. The next prime is 1201989262769. The reversal of 1201989262752 is 2572629891021.

1201989262752 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 9 + 8 + 9 + 2 + 627 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×12019892627522 (a number of 25 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 52310338 + ... + 52333310.

It is an arithmetic number, because the mean of its divisors is an integer number (23927306130).

Almost surely, 21201989262752 is an apocalyptic number.

1201989262752 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 1201989262752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1722766041360).

1201989262752 is an abundant number, since it is smaller than the sum of its proper divisors (2243542819968).

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

1201989262752 is a wasteful number, since it uses less digits than its factorization.

1201989262752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24435 (or 24424 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 1201989262752 in words is "one trillion, two hundred one billion, nine hundred eighty-nine million, two hundred sixty-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 139 144 278 288 417 556 834 1112 1251 1307 1668 2224 2502 2614 3336 3921 4448 5004 5228 6672 7842 10008 10456 11763 13344 15684 20016 20912 22973 23526 31368 40032 41824 45946 47052 62736 68919 91892 94104 125472 137838 181673 183784 188208 206757 275676 363346 367568 376416 413514 545019 551352 726692 735136 827028 1090038 1102704 1453384 1635057 1654056 2180076 2205408 2906768 3193247 3270114 3308112 4360152 5813536 6386494 6540228 6616224 8720304 9579741 12772988 13080456 17440608 19159482 25545976 26160912 28739223 30025711 38318964 51091952 52321824 57478446 60051422 76637928 90077133 102183904 114956892 120102844 153275856 180154266 229913784 240205688 270231399 306551712 360308532 459827568 480411376 540462798 720617064 919655136 960822752 1080925596 1441234128 2161851192 2882468256 4173573829 4323702384 8347147658 8647404768 12520721487 16694295316 25041442974 33388590632 37562164461 50082885948 66777181264 75124328922 100165771896 133554362528 150248657844 200331543792 300497315688 400663087584 600994631376 1201989262752