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2093117673150 = 232527940370667
BaseRepresentation
bin11110011101010111100…
…010010000111010111110
321102002200222011202122100
4132131113202100322332
5233243201111020100
64241322011525530
7304136256444510
oct36352742207276
97362628152570
102093117673150
117377603a4959
122997b0a598a6
131224c325b95a
1473443865bb0
15396a7de4400
hex1e757890ebe

2093117673150 has 144 divisors (see below), whose sum is σ = 6427642425984. Its totient is φ = 478369247040.

The previous prime is 2093117673113. The next prime is 2093117673173. The reversal of 2093117673150 is 513767113902.

It is a super-2 number, since 2×20931176731502 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 2093117673096 and 2093117673105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29584117 + ... + 29654783.

It is an arithmetic number, because the mean of its divisors is an integer number (44636405736).

Almost surely, 22093117673150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2093117673150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3213821212992).

2093117673150 is an abundant number, since it is smaller than the sum of its proper divisors (4334524752834).

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

2093117673150 is a wasteful number, since it uses less digits than its factorization.

2093117673150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80095 (or 80087 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 2093117673150 in words is "two trillion, ninety-three billion, one hundred seventeen million, six hundred seventy-three thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 63 70 75 90 105 126 150 175 210 225 315 350 450 525 630 1050 1575 3150 9403 18806 28209 47015 56418 65821 70667 84627 94030 131642 141045 141334 169254 197463 212001 235075 282090 329105 353335 394926 423135 424002 470150 494669 592389 636003 658210 705225 706670 846270 987315 989338 1060005 1184778 1272006 1410450 1484007 1645525 1766675 1974630 2115675 2120010 2473345 2961945 2968014 3180015 3291050 3533350 4231350 4452021 4936575 4946690 5300025 5923890 6360030 7420035 8904042 9873150 10600050 12366725 14809725 14840070 15900075 22260105 24733450 29619450 31800150 37100175 44520210 74200350 111300525 222601050 664481801 1328963602 1993445403 3322409005 3986890806 4651372607 5980336209 6644818010 9302745214 9967227015 11960672418 13954117821 16612045025 19934454030 23256863035 27908235642 29901681045 33224090050 41862353463 46513726070 49836135075 59803362090 69770589105 83724706926 99672270150 116284315175 139541178210 149508405225 209311767315 232568630350 299016810450 348852945525 418623534630 697705891050 1046558836575 2093117673150