Search a number
-
+
36972205000 = 235429325237
BaseRepresentation
bin100010011011101101…
…110001001111001000
310112102122201121120221
4202123231301033020
51101204341030000
624552414355424
72446130362063
oct423355611710
9115378647527
1036972205000
1114752933925
1271b9abbb74
1336429b88a3
141b0a40b8da
15e65ca261a
hex89bb713c8

36972205000 has 80 divisors (see below), whose sum is σ = 86924971980. Its totient is φ = 14737824000.

The previous prime is 36972204967. The next prime is 36972205043. The reversal of 36972205000 is 50227963.

It is a happy number.

36972205000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 684240964 + 36287964036 = 26158^2 + 190494^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1452382 + ... + 1477618.

Almost surely, 236972205000 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 36972205000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43462485990).

36972205000 is an abundant number, since it is smaller than the sum of its proper divisors (49952766980).

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

36972205000 is a wasteful number, since it uses less digits than its factorization.

36972205000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25556 (or 25537 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 34.

The spelling of 36972205000 in words is "thirty-six billion, nine hundred seventy-two million, two hundred five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 293 500 586 625 1000 1172 1250 1465 2344 2500 2930 5000 5860 7325 11720 14650 25237 29300 36625 50474 58600 73250 100948 126185 146500 183125 201896 252370 293000 366250 504740 630925 732500 1009480 1261850 1465000 2523700 3154625 5047400 6309250 7394441 12618500 14788882 15773125 25237000 29577764 31546250 36972205 59155528 63092500 73944410 126185000 147888820 184861025 295777640 369722050 739444100 924305125 1478888200 1848610250 3697220500 4621525625 7394441000 9243051250 18486102500 36972205000