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1980578291796 = 22331331531097877
BaseRepresentation
bin11100110100100011101…
…010100110000001010100
321000100012220110211221000
4130310203222212001110
5224422211020314141
64113510510223300
7263043401465046
oct34644352460124
97010186424830
101980578291796
116a3a5a8a2a75
1227ba237b4b30
131149c9924540
146bc092dda96
15367bcde25b6
hex1cd23aa6054

1980578291796 has 384 divisors, whose sum is σ = 5870004940800. Its totient is φ = 573241743360.

The previous prime is 1980578291779. The next prime is 1980578291803. The reversal of 1980578291796 is 6971928750891.

It is a happy number.

1980578291796 is a `hidden beast` number, since 19 + 8 + 0 + 578 + 29 + 17 + 9 + 6 = 666.

It is a super-2 number, since 2×19805782917962 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 251434210 + ... + 251442086.

It is an arithmetic number, because the mean of its divisors is an integer number (15286471200).

Almost surely, 21980578291796 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1980578291796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2935002470400).

1980578291796 is an abundant number, since it is smaller than the sum of its proper divisors (3889426649004).

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

1980578291796 is a wasteful number, since it uses less digits than its factorization.

1980578291796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8096 (or 8088 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 72.

The spelling of 1980578291796 in words is "one trillion, nine hundred eighty billion, five hundred seventy-eight million, two hundred ninety-one thousand, seven hundred ninety-six".