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9943312255872 = 273431193504767
BaseRepresentation
bin1001000010110001101110…
…0110000100101110000000
31022012120102112020110221120
42100230123212010232000
52300402400414141442
633051521121552240
72044244355435252
oct220543346045600
938176375213846
109943312255872
113193a31601906
1211470b71a5680
1357185b9b1c68
1426538a525cd2
151239ad3b44ec
hex90b1b984b80

9943312255872 has 128 divisors (see below), whose sum is σ = 27048861480960. Its totient is φ = 3234637443072.

The previous prime is 9943312255837. The next prime is 9943312255873. The reversal of 9943312255872 is 2785522133499.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9943312255873) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 19446433 + ... + 19951199.

It is an arithmetic number, because the mean of its divisors is an integer number (211319230320).

Almost surely, 29943312255872 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 9943312255872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13524430740480).

9943312255872 is an abundant number, since it is smaller than the sum of its proper divisors (17105549225088).

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

9943312255872 is a wasteful number, since it uses less digits than its factorization.

9943312255872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506020 (or 506008 counting only the distinct ones).

The product of its digits is 32659200, while the sum is 60.

The spelling of 9943312255872 in words is "nine trillion, nine hundred forty-three billion, three hundred twelve million, two hundred fifty-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 258 344 384 516 688 1032 1193 1376 2064 2386 2752 3579 4128 4772 5504 7158 8256 9544 14316 16512 19088 28632 38176 51299 57264 76352 102598 114528 152704 153897 205196 229056 307794 410392 458112 504767 615588 820784 1009534 1231176 1514301 1641568 2019068 2462352 3028602 3283136 4038136 4924704 6057204 6566272 8076272 9849408 12114408 16152544 19698816 21704981 24228816 32305088 43409962 48457632 64610176 65114943 86819924 96915264 130229886 173639848 193830528 260459772 347279696 520919544 602187031 694559392 1041839088 1204374062 1389118784 1806561093 2083678176 2408748124 2778237568 3613122186 4167356352 4817496248 7226244372 8334712704 9634992496 14452488744 19269984992 25894042333 28904977488 38539969984 51788084666 57809954976 77079939968 77682126999 103576169332 115619909952 155364253998 207152338664 231239819904 310728507996 414304677328 621457015992 828609354656 1242914031984 1657218709312 2485828063968 3314437418624 4971656127936 9943312255872