Search a number
-
+
116600671116000 = 2532533238907531
BaseRepresentation
bin11010100000110000110101…
…100101010001101011100000
3120021211220201020202121120200
4122200300311211101223200
5110240341133301203000
61051553335301305200
733363056220340341
oct3240606545215340
9507756636677520
10116600671116000
1134175081087565
12110b1ba8a05200
13500a51c326ac6
1420b17071900c8
15d730b73d2500
hex6a0c35951ae0

116600671116000 has 144 divisors (see below), whose sum is σ = 413815781918448. Its totient is φ = 31093512288000.

The previous prime is 116600671115959. The next prime is 116600671116001. The reversal of 116600671116000 is 611176006611.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116600671116001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1619417766 + ... + 1619489765.

It is an arithmetic number, because the mean of its divisors is an integer number (2873720707767).

Almost surely, 2116600671116000 is an apocalyptic number.

116600671116000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116600671116000 is an abundant number, since it is smaller than the sum of its proper divisors (297215110802448).

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

116600671116000 is a wasteful number, since it uses less digits than its factorization.

116600671116000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3238907562 (or 3238907541 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 116600671116000 in words is "one hundred sixteen trillion, six hundred billion, six hundred seventy-one million, one hundred sixteen thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 125 144 150 160 180 200 225 240 250 288 300 360 375 400 450 480 500 600 720 750 800 900 1000 1125 1200 1440 1500 1800 2000 2250 2400 3000 3600 4000 4500 6000 7200 9000 12000 18000 36000 3238907531 6477815062 9716722593 12955630124 16194537655 19433445186 25911260248 29150167779 32389075310 38866890372 48583612965 51822520496 58300335558 64778150620 77733780744 80972688275 97167225930 103645040992 116600671116 129556301240 145750838895 155467561488 161945376550 194334451860 233201342232 242918064825 259112602480 291501677790 310935122976 323890753100 388668903720 404863441375 466402684464 485836129650 518225204960 583003355580 647781506200 728754194475 777337807440 809726882750 932805368928 971672259300 1166006711160 1214590324125 1295563012400 1457508388950 1554675614880 1619453765500 1943344518600 2332013422320 2429180648250 2591126024800 2915016777900 3238907531000 3643770972375 3886689037200 4664026844640 4858361296500 5830033555800 6477815062000 7287541944750 7773378074400 9716722593000 11660067111600 12955630124000 14575083889500 19433445186000 23320134223200 29150167779000 38866890372000 58300335558000 116600671116000