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2670221401920 = 26355197174311
BaseRepresentation
bin100110110110110101100…
…110010001111101000000
3100110021022022122201200000
4212312311212101331000
5322222103134330140
65402403251400000
7363626401265262
oct46666546217500
910407268581600
102670221401920
1193a486406a46
1237160b8b3000
13164a54477a77
149334ccddb32
15496d2ae1a30
hex26db5991f40

2670221401920 has 336 divisors, whose sum is σ = 9573017021568. Its totient is φ = 708440463360.

The previous prime is 2670221401901. The next prime is 2670221401921. The reversal of 2670221401920 is 291041220762.

2670221401920 is a `hidden beast` number, since 2 + 6 + 7 + 0 + 221 + 401 + 9 + 20 = 666.

2670221401920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×26702214019202 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2670221401921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15231565 + ... + 15405875.

It is an arithmetic number, because the mean of its divisors is an integer number (28491122088).

Almost surely, 22670221401920 is an apocalyptic number.

2670221401920 is a gapful number since it is divisible by the number (20) 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 2670221401920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4786508510784).

2670221401920 is an abundant number, since it is smaller than the sum of its proper divisors (6902795619648).

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

2670221401920 is a wasteful number, since it uses less digits than its factorization.

2670221401920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174540 (or 174518 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 2670221401920 in words is "two trillion, six hundred seventy billion, two hundred twenty-one million, four hundred one thousand, nine hundred twenty".