Search a number
-
+
1985034870000 = 243354713173467
BaseRepresentation
bin11100111000101101010…
…011000101110011110000
321000202201111022110221000
4130320231103011303300
5230010322411320000
64115525030202000
7263262004666320
oct34705523056360
97022644273830
101985034870000
116a5937486156
122808681b3300
1311525a006b70
146c10d145280
153697e2a5000
hex1ce2d4c5cf0

1985034870000 has 1600 divisors, whose sum is σ = 8832544680960. Its totient is φ = 415507968000.

The previous prime is 1985034869981. The next prime is 1985034870083. The reversal of 1985034870000 is 784305891.

1985034870000 is a `hidden beast` number, since 198 + 50 + 348 + 70 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 4250609767 + ... + 4250610233.

Almost surely, 21985034870000 is an apocalyptic number.

1985034870000 is a gapful number since it is divisible by the number (10) 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 1985034870000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4416272340480).

1985034870000 is an abundant number, since it is smaller than the sum of its proper divisors (6847509810960).

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

1985034870000 is a wasteful number, since it uses less digits than its factorization.

1985034870000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 1985034870000 in words is "one trillion, nine hundred eighty-five billion, thirty-four million, eight hundred seventy thousand".