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36212426144 = 254742157191
BaseRepresentation
bin100001101110011011…
…011100010110100000
310110110201001211221022
4201232123130112200
51043130340114034
624345153545012
72421243354266
oct415633342640
9113421054838
1036212426144
11143a2a74814
127027575168
1335514790bb
141a77552436
15e1e222b2e
hex86e6dc5a0

36212426144 has 48 divisors (see below), whose sum is σ = 72984312576. Its totient is φ = 17678572800.

The previous prime is 36212426113. The next prime is 36212426167. The reversal of 36212426144 is 44162421263.

It is a super-2 number, since 2×362124261442 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 604589 + ... + 661779.

It is an arithmetic number, because the mean of its divisors is an integer number (1520506512).

Almost surely, 236212426144 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 36212426144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36492156288).

36212426144 is an abundant number, since it is smaller than the sum of its proper divisors (36771886432).

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

36212426144 is a wasteful number, since it uses less digits than its factorization.

36212426144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57669 (or 57661 counting only the distinct ones).

The product of its digits is 55296, while the sum is 35.

The spelling of 36212426144 in words is "thirty-six billion, two hundred twelve million, four hundred twenty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 47 94 188 376 421 752 842 1504 1684 3368 6736 13472 19787 39574 57191 79148 114382 158296 228764 316592 457528 633184 915056 1830112 2687977 5375954 10751908 21503816 24077411 43007632 48154822 86015264 96309644 192619288 385238576 770477152 1131638317 2263276634 4526553268 9053106536 18106213072 36212426144