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1977431307108 = 22329972603919
BaseRepresentation
bin11100110001101000000…
…101110011001101100100
321000001002120212110111120
4130301220011303031210
5224344234403311413
64112230331333540
7262602406531425
oct34615005631544
97001076773446
101977431307108
116a269546a884
1227b2a58b12b0
1311461795871a
146b9cb39564c
15366869b7723
hex1cc68173364

1977431307108 has 72 divisors (see below), whose sum is σ = 4822832649600. Its totient is φ = 629852654592.

The previous prime is 1977431307041. The next prime is 1977431307109. The reversal of 1977431307108 is 8017031347791.

It is a happy number.

It is a super-2 number, since 2×19774313071082 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1977431307109) 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 23 ways as a sum of consecutive naturals, for example, 2972373 + ... + 3576291.

It is an arithmetic number, because the mean of its divisors is an integer number (66983786800).

Almost surely, 21977431307108 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 1977431307108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2411416324800).

1977431307108 is an abundant number, since it is smaller than the sum of its proper divisors (2845401342492).

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

1977431307108 is a wasteful number, since it uses less digits than its factorization.

1977431307108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604149 (or 604050 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 51.

The spelling of 1977431307108 in words is "one trillion, nine hundred seventy-seven billion, four hundred thirty-one million, three hundred seven thousand, one hundred eight".

Divisors: 1 2 3 4 6 12 29 58 87 97 116 174 194 291 348 388 582 1164 2813 5626 8439 9409 11252 16878 18818 28227 33756 37636 56454 112908 272861 545722 603919 818583 1091444 1207838 1637166 1811757 2415676 3274332 3623514 7247028 17513651 35027302 52540953 58580143 70054604 105081906 117160286 175740429 210163812 234320572 351480858 702961716 1698824147 3397648294 5096472441 5682273871 6795296588 10192944882 11364547742 17046821613 20385889764 22729095484 34093643226 68187286452 164785942259 329571884518 494357826777 659143769036 988715653554 1977431307108