Search a number
-
+
20358738014328 = 2333723675241251
BaseRepresentation
bin1001010000100001000110…
…10110001111000001111000
32200002021110110022211021000
410220100203112033001320
510132024143412424303
6111144401454445000
74200604335566400
oct450204326170170
980067413284230
1020358738014328
11653a10194892a
1223497b0203760
13b48a8928462c
145055223c9800
1525489e0b5da3
hex12842358f078

20358738014328 has 192 divisors, whose sum is σ = 65964301171200. Its totient is φ = 5800931640000.

The previous prime is 20358738014231. The next prime is 20358738014333. The reversal of 20358738014328 is 82341083785302.

20358738014328 is a `hidden beast` number, since 2 + 0 + 3 + 587 + 38 + 0 + 1 + 4 + 3 + 28 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1263703 + ... + 6504953.

It is an arithmetic number, because the mean of its divisors is an integer number (343564068600).

Almost surely, 220358738014328 is an apocalyptic number.

20358738014328 is a gapful number since it is divisible by the number (28) 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 20358738014328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32982150585600).

20358738014328 is an abundant number, since it is smaller than the sum of its proper divisors (45605563156872).

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

20358738014328 is a wasteful number, since it uses less digits than its factorization.

20358738014328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5241647 (or 5241630 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 20358738014328 in words is "twenty trillion, three hundred fifty-eight billion, seven hundred thirty-eight million, fourteen thousand, three hundred twenty-eight".