Search a number
-
+
1022620999680 = 21333572113167
BaseRepresentation
bin11101110000110001111…
…01100010000000000000
310121202120012211021101000
432320120331202000000
5113223311433442210
62101441405012000
7133611334035300
oct16703075420000
93552505737330
101022620999680
11364766992855
12146235854000
1375581989857
14376d0879600
151b90265eac0
hexee18f62000

1022620999680 has 1344 divisors, whose sum is σ = 4292335514880. Its totient is φ = 230286163968.

The previous prime is 1022620999669. The next prime is 1022620999721. The reversal of 1022620999680 is 869990262201.

It is a happy number.

1022620999680 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 620 + 9 + 9 + 9 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6123478957 + ... + 6123479123.

It is an arithmetic number, because the mean of its divisors is an integer number (3193702020).

Almost surely, 21022620999680 is an apocalyptic number.

1022620999680 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 1022620999680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2146167757440).

1022620999680 is an abundant number, since it is smaller than the sum of its proper divisors (3269714515200).

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

1022620999680 is a wasteful number, since it uses less digits than its factorization.

1022620999680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 1022620999680 in words is "one trillion, twenty-two billion, six hundred twenty million, nine hundred ninety-nine thousand, six hundred eighty".