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39370155136 = 271397243917
BaseRepresentation
bin100100101010101001…
…001110010010000000
310202121202220002202221
4210222221032102000
51121112224431021
630030355020424
72562425540254
oct445251162200
9122552802687
1039370155136
11157734762a4
127768b9a714
1339357374b0
141c96a96264
151056571241
hex92aa4e480

39370155136 has 64 divisors (see below), whose sum is σ = 85337151480. Its totient is φ = 17983438848.

The previous prime is 39370155107. The next prime is 39370155161. The reversal of 39370155136 is 63155107393.

It can be written as a sum of positive squares in 4 ways, for example, as 13629161536 + 25740993600 = 116744^2 + 160440^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 39370155092 and 39370155101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39450 + ... + 283366.

Almost surely, 239370155136 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 39370155136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42668575740).

39370155136 is an abundant number, since it is smaller than the sum of its proper divisors (45966996344).

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

39370155136 is a wasteful number, since it uses less digits than its factorization.

39370155136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244041 (or 244029 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 43.

The spelling of 39370155136 in words is "thirty-nine billion, three hundred seventy million, one hundred fifty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 97 104 128 194 208 388 416 776 832 1261 1552 1664 2522 3104 5044 6208 10088 12416 20176 40352 80704 161408 243917 487834 975668 1951336 3170921 3902672 6341842 7805344 12683684 15610688 23659949 25367368 31221376 47319898 50734736 94639796 101469472 189279592 202938944 307579337 378559184 405877888 615158674 757118368 1230317348 1514236736 2460634696 3028473472 4921269392 9842538784 19685077568 39370155136