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2920317838128 = 2432132715282581
BaseRepresentation
bin101010011111110000100…
…000011110001100110000
3101100011211222020001101200
4222133300200132030300
5340321302331310003
610113324150131200
7420662125025205
oct52376040361460
911304758201350
102920317838128
11a26555318139
123b1b88650b00
131825005002b2
14a14b6455cac
1550e6e1096a3
hex2a7f081e330

2920317838128 has 60 divisors (see below), whose sum is σ = 8178993365088. Its totient is φ = 972705651840.

The previous prime is 2920317838121. The next prime is 2920317838133. The reversal of 2920317838128 is 8218387130292.

2920317838128 is a `hidden beast` number, since 2 + 92 + 0 + 3 + 178 + 381 + 2 + 8 = 666.

It is a super-2 number, since 2×29203178381282 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2920317838121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7450203 + ... + 7832378.

Almost surely, 22920317838128 is an apocalyptic number.

It is an amenable number.

2920317838128 is an abundant number, since it is smaller than the sum of its proper divisors (5258675526960).

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

2920317838128 is a wasteful number, since it uses less digits than its factorization.

2920317838128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15283922 (or 15283913 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 2920317838128 in words is "two trillion, nine hundred twenty billion, three hundred seventeen million, eight hundred thirty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1327 2654 3981 5308 7962 10616 11943 15924 21232 23886 31848 47772 63696 95544 191088 15282581 30565162 45847743 61130324 91695486 122260648 137543229 183390972 244521296 275086458 366781944 550172916 733563888 1100345832 2200691664 20279984987 40559969974 60839954961 81119939948 121679909922 162239879896 182519864883 243359819844 324479759792 365039729766 486719639688 730079459532 973439279376 1460158919064 2920317838128