Search a number
-
+
36670700745 = 32571011152623
BaseRepresentation
bin100010001001101111…
…100111110011001001
310111122122101121111200
4202021233213303021
51100100144410440
624502444214413
72435506545660
oct421157476311
9114578347450
1036670700745
1114608722258
127134b3a409
1335c53b21c3
141abc365dd7
15e49597c30
hex889be7cc9

36670700745 has 48 divisors (see below), whose sum is σ = 73362212352. Its totient is φ = 16597756800.

The previous prime is 36670700743. The next prime is 36670700789. The reversal of 36670700745 is 54700707663.

It is not a de Polignac number, because 36670700745 - 21 = 36670700743 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 36670700745.

It is not an unprimeable number, because it can be changed into a prime (36670700743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 544497 + ... + 608126.

It is an arithmetic number, because the mean of its divisors is an integer number (1528379424).

Almost surely, 236670700745 is an apocalyptic number.

36670700745 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

36670700745 is an abundant number, since it is smaller than the sum of its proper divisors (36691511607).

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

36670700745 is a wasteful number, since it uses less digits than its factorization.

36670700745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152742 (or 1152739 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The spelling of 36670700745 in words is "thirty-six billion, six hundred seventy million, seven hundred thousand, seven hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 101 105 303 315 505 707 909 1515 2121 3535 4545 6363 10605 31815 1152623 3457869 5763115 8068361 10373607 17289345 24205083 40341805 51868035 72615249 116414923 121025415 349244769 363076245 582074615 814904461 1047734307 1746223845 2444713383 4074522305 5238671535 7334140149 12223566915 36670700745