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34136623620 = 223251117240719
BaseRepresentation
bin11111110010101100…
…111000101000000100
310021010001002011012100
4133302230320220010
51024402433423440
623403202152100
72315636341011
oct376254705004
9107101064170
1034136623620
1113528263640
126748352630
1332b03b1098
14191b9a4708
15d4bd8a230
hex7f2b38a04

34136623620 has 72 divisors (see below), whose sum is σ = 112961197440. Its totient is φ = 8275544640.

The previous prime is 34136623607. The next prime is 34136623649. The reversal of 34136623620 is 2632663143.

34136623620 is a `hidden beast` number, since 3 + 4 + 1 + 3 + 6 + 6 + 23 + 620 = 666.

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

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 23 ways as a sum of consecutive naturals, for example, 8618380 + ... + 8622339.

It is an arithmetic number, because the mean of its divisors is an integer number (1568905520).

Almost surely, 234136623620 is an apocalyptic number.

34136623620 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34136623620 is an abundant number, since it is smaller than the sum of its proper divisors (78824573820).

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

34136623620 is a wasteful number, since it uses less digits than its factorization.

34136623620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17240745 (or 17240740 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

It can be divided in two parts, 34136 and 623620, that added together give a palindrome (657756).

The spelling of 34136623620 in words is "thirty-four billion, one hundred thirty-six million, six hundred twenty-three thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 17240719 34481438 51722157 68962876 86203595 103444314 155166471 172407190 189647909 206888628 258610785 310332942 344814380 379295818 517221570 568943727 620665884 758591636 775832355 948239545 1034443140 1137887454 1551664710 1706831181 1896479090 2275774908 2844718635 3103329420 3413662362 3792958180 5689437270 6827324724 8534155905 11378874540 17068311810 34136623620