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2977053471396 = 2232232125032
BaseRepresentation
bin101011010100100110001…
…101101111001010100100
3101112121021222022211211100
4223110212031233022210
5342234001142041041
610155350043440100
7425041105660554
oct53244615571244
911477258284740
102977053471396
11a4861a089154
12400b81226030
13187972873224
14a4139567164
155268ee976b6
hex2b52636f2a4

2977053471396 has 81 divisors (see below), whose sum is σ = 7867372666699. Its totient is φ = 949129536432.

The previous prime is 2977053471391. The next prime is 2977053471407. The reversal of 2977053471396 is 6931743507792.

It is a happy number.

The square root of 2977053471396 is 1725414.

It is a perfect power (a square), and thus also a powerful number.

2977053471396 is a `hidden beast` number, since 2 + 9 + 7 + 7 + 0 + 534 + 7 + 1 + 3 + 96 = 666.

2977053471396 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2977053471391) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 238100881 + ... + 238113383.

Almost surely, 22977053471396 is an apocalyptic number.

2977053471396 is the 1725414-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2977053471396

2977053471396 is an abundant number, since it is smaller than the sum of its proper divisors (4890319195303).

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

2977053471396 is an equidigital number, since it uses as much as digits as its factorization.

2977053471396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25062 (or 12531 counting only the distinct ones).

The product of its (nonzero) digits is 60011280, while the sum is 63.

It can be divided in two parts, 2977053 and 471396, that added together give a square (3448449 = 18572).

The spelling of 2977053471396 in words is "two trillion, nine hundred seventy-seven billion, fifty-three million, four hundred seventy-one thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 529 828 1058 1587 2116 3174 4761 6348 9522 12503 19044 25006 37509 50012 75018 112527 150036 225054 287569 450108 575138 862707 1150276 1725414 2588121 3450828 5176242 6614087 10352484 13228174 19842261 26456348 39684522 59526783 79369044 119053566 156325009 238107132 312650018 468975027 625300036 937950054 1406925081 1875900108 2813850162 3595475207 5627700324 7190950414 10786425621 14381900828 21572851242 32359276863 43145702484 64718553726 82695929761 129437107452 165391859522 248087789283 330783719044 496175578566 744263367849 992351157132 1488526735698 2977053471396