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36225295158 = 23131929371373
BaseRepresentation
bin100001101111001100…
…100010001100110110
310110111121021122220110
4201233030202030312
51043142133421113
624350333443450
72421460633263
oct415714421466
9113447248813
1036225295158
11143aa264468
12702b940586
1335540337c0
141a7914226a
15e20415bc3
hex86f322336

36225295158 has 96 divisors (see below), whose sum is σ = 82494278496. Its totient is φ = 10540647936.

The previous prime is 36225295151. The next prime is 36225295163. The reversal of 36225295158 is 85159252263.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36225295151) 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 47 ways as a sum of consecutive naturals, for example, 26383360 + ... + 26384732.

It is an arithmetic number, because the mean of its divisors is an integer number (859315401).

Almost surely, 236225295158 is an apocalyptic number.

36225295158 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36225295158, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41247139248).

36225295158 is an abundant number, since it is smaller than the sum of its proper divisors (46268983338).

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

36225295158 is a wasteful number, since it uses less digits than its factorization.

36225295158 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2366 (or 2347 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 48.

The spelling of 36225295158 in words is "thirty-six billion, two hundred twenty-five million, two hundred ninety-five thousand, one hundred fifty-eight".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 247 361 494 722 741 937 1083 1373 1482 1874 2166 2746 2811 4119 4693 5622 8238 9386 12181 14079 17803 17849 24362 26087 28158 35606 35698 36543 52174 53409 53547 73086 78261 106818 107094 156522 231439 338257 339131 462878 495653 676514 678262 694317 991306 1014771 1017393 1286501 1388634 1486959 2029542 2034786 2573002 2973918 3859503 4397341 6443489 7719006 8794682 12886978 13192023 16724513 19330467 24443519 26384046 33449026 38660934 48887038 50173539 73330557 100347078 146661114 317765747 464426861 635531494 928853722 953297241 1393280583 1906594482 2786561166 6037549193 12075098386 18112647579 36225295158