Search a number
-
+
36397801982004 = 223173731717218839
BaseRepresentation
bin10000100011010100001100…
…00011101100100000110100
311202212121002101211210112020
420101222012003230200310
514232320144301411004
6205224530331153140
710444440315065601
oct1021520603544064
9152777071753466
1036397801982004
111066324836a401
1240ba17a2a57b0
1317403b4920bc8
148db93d4596a8
15431bcc6d08d9
hex211a860ec834

36397801982004 has 192 divisors, whose sum is σ = 92710017953280. Its totient is φ = 11067562967040.

The previous prime is 36397801981999. The next prime is 36397801982027. The reversal of 36397801982004 is 40028910879363.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 4117859817 + ... + 4117868655.

It is an arithmetic number, because the mean of its divisors is an integer number (482864676840).

Almost surely, 236397801982004 is an apocalyptic number.

36397801982004 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36397801982004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46355008976640).

36397801982004 is an abundant number, since it is smaller than the sum of its proper divisors (56312215971276).

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

36397801982004 is a wasteful number, since it uses less digits than its factorization.

36397801982004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10938 (or 10936 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 60.

The spelling of 36397801982004 in words is "thirty-six trillion, three hundred ninety-seven billion, eight hundred one million, nine hundred eighty-two thousand, four".