Search a number
-
+
368906922300 = 2235272315913721
BaseRepresentation
bin1010101111001001001…
…00001110100100111100
31022021012202110100220110
411113210210032210330
522021010133003200
6441250135350020
735436600046500
oct5274444164474
91267182410813
10368906922300
111324a8381974
125b5b6222310
1328a3197a307
1413bd88dc300
1598e1d54b50
hex55e490e93c

368906922300 has 432 divisors, whose sum is σ = 1303506570240. Its totient is φ = 80212608000.

The previous prime is 368906922299. The next prime is 368906922313. The reversal of 368906922300 is 3229609863.

It is a self number, because there is not a number n which added to its sum of digits gives 368906922300.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 26879440 + ... + 26893160.

It is an arithmetic number, because the mean of its divisors is an integer number (3017376320).

Almost surely, 2368906922300 is an apocalyptic number.

368906922300 is a gapful number since it is divisible by the number (30) 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 368906922300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651753285120).

368906922300 is an abundant number, since it is smaller than the sum of its proper divisors (934599647940).

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

368906922300 is a wasteful number, since it uses less digits than its factorization.

368906922300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13842 (or 13828 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 48.

The spelling of 368906922300 in words is "three hundred sixty-eight billion, nine hundred six million, nine hundred twenty-two thousand, three hundred".