Search a number
-
+
1070685908820 = 2233511971858249
BaseRepresentation
bin11111001010010011101…
…10100110111101010100
310210100121221102122101000
433211021312212331110
5120020231043040240
62135511042503300
7140232411030603
oct17451166467524
93710557378330
101070685908820
11383091312460
1215360a664b30
1379c7185a7a8
1439b701a9a3a
151ccb71b4430
hexf949da6f54

1070685908820 has 192 divisors, whose sum is σ = 3671307360000. Its totient is φ = 256884203520.

The previous prime is 1070685908777. The next prime is 1070685908821. The reversal of 1070685908820 is 288095860701.

It is a super-2 number, since 2×10706859088202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1070685908821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 352945 + ... + 1505304.

It is an arithmetic number, because the mean of its divisors is an integer number (19121392500).

Almost surely, 21070685908820 is an apocalyptic number.

1070685908820 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 1070685908820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1835653680000).

1070685908820 is an abundant number, since it is smaller than the sum of its proper divisors (2600621451180).

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

1070685908820 is a wasteful number, since it uses less digits than its factorization.

1070685908820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1858375 (or 1858367 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 1070685908820 in words is "one trillion, seventy billion, six hundred eighty-five million, nine hundred eight thousand, eight hundred twenty".