Search a number
-
+
117990262000 = 24531337122651
BaseRepresentation
bin110110111100011000…
…1001000010011110000
3102021112221111100020201
41231320301020103300
53413121001341000
6130112020444544
711344623451642
oct1557061102360
9367487440221
10117990262000
1146048477226
121aa4a849754
13b184a107a0
1459d4474892
15310881c96a
hex1b78c484f0

117990262000 has 160 divisors (see below), whose sum is σ = 315553178304. Its totient is φ = 42387840000.

The previous prime is 117990261989. The next prime is 117990262001. The reversal of 117990262000 is 262099711.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117990262001) 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 31 ways as a sum of consecutive naturals, for example, 900675 + ... + 1023325.

Almost surely, 2117990262000 is an apocalyptic number.

117990262000 is a gapful number since it is divisible by the number (10) 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 117990262000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157776589152).

117990262000 is an abundant number, since it is smaller than the sum of its proper divisors (197562916304).

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

117990262000 is a wasteful number, since it uses less digits than its factorization.

117990262000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122724 (or 122708 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 37.

The spelling of 117990262000 in words is "one hundred seventeen billion, nine hundred ninety million, two hundred sixty-two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 37 40 50 52 65 74 80 100 104 125 130 148 185 200 208 250 260 296 325 370 400 481 500 520 592 650 740 925 962 1000 1040 1300 1480 1625 1850 1924 2000 2405 2600 2960 3250 3700 3848 4625 4810 5200 6500 7400 7696 9250 9620 12025 13000 14800 18500 19240 24050 26000 37000 38480 48100 60125 74000 96200 120250 122651 192400 240500 245302 481000 490604 613255 962000 981208 1226510 1594463 1962416 2453020 3066275 3188926 4538087 4906040 6132550 6377852 7972315 9076174 9812080 12265100 12755704 15331375 15944630 18152348 22690435 24530200 25511408 30662750 31889260 36304696 39861575 45380870 49060400 58995131 61325500 63778520 72609392 79723150 90761740 113452175 117990262 122651000 127557040 159446300 181523480 199307875 226904350 235980524 245302000 294975655 318892600 363046960 398615750 453808700 471961048 567260875 589951310 637785200 797231500 907617400 943922096 1134521750 1179902620 1474878275 1594463000 1815234800 2269043500 2359805240 2949756550 3188926000 4538087000 4719610480 5899513100 7374391375 9076174000 11799026200 14748782750 23598052400 29497565500 58995131000 117990262000