Search a number
-
+
1973901361936 = 2472501772
BaseRepresentation
bin11100101110010101101…
…100001000001100010000
320222200222120122200001111
4130232111230020030100
5224320022222040221
64110444152343104
7262416054512200
oct34562554101420
96880876580044
101973901361936
116a114394a819
1227a67b6a4a94
131141a453607a
146b774640400
153652bb42be1
hex1cb95b08310

1973901361936 has 45 divisors (see below), whose sum is σ = 4448919922869. Its totient is φ = 845940867072.

The previous prime is 1973901361871. The next prime is 1973901361961. The reversal of 1973901361936 is 6391631093791.

The square root of 1973901361936 is 1404956.

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

It can be written as a sum of positive squares in only one way, i.e., 1973744010000 + 157351936 = 1404900^2 + 12544^2 .

It is a super-3 number, since 3×19739013619363 (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 39313680 + ... + 39363856.

Almost surely, 21973901361936 is an apocalyptic number.

1973901361936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1973901361936 is the 1404956-th square number.

It is an amenable number.

1973901361936 is an abundant number, since it is smaller than the sum of its proper divisors (2475018560933).

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

1973901361936 is an frugal number, since it uses more digits than its factorization.

1973901361936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100376 (or 50186 counting only the distinct ones).

The product of its (nonzero) digits is 4960116, while the sum is 58.

The spelling of 1973901361936 in words is "one trillion, nine hundred seventy-three billion, nine hundred one million, three hundred sixty-one thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 50177 100354 200708 351239 401416 702478 802832 1404956 2458673 2809912 4917346 5619824 9834692 19669384 39338768 2517731329 5035462658 10070925316 17624119303 20141850632 35248238606 40283701264 70496477212 123368835121 140992954424 246737670242 281985908848 493475340484 986950680968 1973901361936