Search a number
-
+
36257121340 = 22511239977187
BaseRepresentation
bin100001110001000101…
…111100010000111100
310110120211011121012221
4201301011330100330
51043223310340330
624353431535124
72422325306056
oct416105742074
9113524147187
1036257121340
11144162219a0
12703a52a4a4
13355a7c7a6b
141a7d4688d6
15e23100b7a
hex87117c43c

36257121340 has 96 divisors (see below), whose sum is σ = 86772155904. Its totient is φ = 12596770560.

The previous prime is 36257121319. The next prime is 36257121343. The reversal of 36257121340 is 4312175263.

It is a junction number, because it is equal to n+sod(n) for n = 36257121296 and 36257121305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36257121343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5041227 + ... + 5048413.

It is an arithmetic number, because the mean of its divisors is an integer number (903876624).

Almost surely, 236257121340 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 36257121340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43386077952).

36257121340 is an abundant number, since it is smaller than the sum of its proper divisors (50515034564).

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

36257121340 is a wasteful number, since it uses less digits than its factorization.

36257121340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8227 (or 8225 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The spelling of 36257121340 in words is "thirty-six billion, two hundred fifty-seven million, one hundred twenty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 997 1012 1265 1994 2530 3988 4985 5060 7187 9970 10967 14374 19940 21934 22931 28748 35935 43868 45862 54835 71870 79057 91724 109670 114655 143740 158114 165301 219340 229310 252241 316228 330602 395285 458620 504482 661204 790570 826505 1008964 1261205 1581140 1653010 1818311 2522410 3306020 3636622 5044820 7165439 7273244 9091555 14330878 18183110 28661756 35827195 36366220 71654390 78819829 143308780 157639658 164805097 315279316 329610194 394099145 659220388 788198290 824025485 1576396580 1648050970 1812856067 3296101940 3625712134 7251424268 9064280335 18128560670 36257121340