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146690022453120 = 273653111010957
BaseRepresentation
bin100001010110100111101110…
…101011100010111110000000
3201020101102120212202121000000
4201112213232223202332000
5123211332131221444440
61235552244354000000
742620001334625646
oct4126475653427600
9636342525677000
10146690022453120
1142815986523683
1214551613876000
1363b0a6b081b23
142831b99225196
1511e5b26606730
hex8569eeae2f80

146690022453120 has 448 divisors, whose sum is σ = 527471865591840. Its totient is φ = 38991521525760.

The previous prime is 146690022453113. The next prime is 146690022453211. The reversal of 146690022453120 is 21354220096641.

146690022453120 is a `hidden beast` number, since 1 + 4 + 6 + 6 + 90 + 0 + 2 + 2 + 4 + 531 + 20 = 666.

146690022453120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 55 ways as a sum of consecutive naturals, for example, 144594682 + ... + 145605638.

Almost surely, 2146690022453120 is an apocalyptic number.

146690022453120 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 146690022453120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263735932795920).

146690022453120 is an abundant number, since it is smaller than the sum of its proper divisors (380781843138720).

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

146690022453120 is an equidigital number, since it uses as much as digits as its factorization.

146690022453120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011305 (or 1011278 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 146690022453120 in words is "one hundred forty-six trillion, six hundred ninety billion, twenty-two million, four hundred fifty-three thousand, one hundred twenty".