Search a number
-
+
70512312859921 = 47253233712
BaseRepresentation
bin10000000010000101101101…
…010111000011110100010001
3100020122220121022122120112001
4100002011231113003310101
533220233204043004141
6405544524230034001
720565226563056242
oct2002055527036421
9306586538576461
1070512312859921
11205161163a2509
127aa9912aa8901
133046389a6a5ba
14135ab58066cc9
158242c1598a31
hex40216d5c3d11

70512312859921 has 27 divisors (see below), whose sum is σ = 73451262300283. Its totient is φ = 67689850707440.

The previous prime is 70512312859907. The next prime is 70512312859951. The reversal of 70512312859921 is 12995821321507.

The square root of 70512312859921 is 8397161.

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., 50832123012225 + 19680189847696 = 7129665^2 + 4436236^2 .

It is not a de Polignac number, because 70512312859921 - 215 = 70512312827153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (70512312859951) 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 26 ways as a sum of consecutive naturals, for example, 20917326366 + ... + 20917329736.

Almost surely, 270512312859921 is an apocalyptic number.

70512312859921 is the 8397161-st square number.

70512312859921 is the 4198581-st centered octagonal number.

It is an amenable number.

70512312859921 is a deficient number, since it is larger than the sum of its proper divisors (2938949440362).

70512312859921 is an frugal number, since it uses more digits than its factorization.

70512312859921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6942 (or 3471 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 55.

The spelling of 70512312859921 in words is "seventy trillion, five hundred twelve billion, three hundred twelve million, eight hundred fifty-nine thousand, nine hundred twenty-one".

Divisors: 1 47 53 2209 2491 2809 3371 117077 132023 158437 178663 6205081 7446539 8397161 9469139 11363641 394666567 445049533 534091127 602272973 20917328051 25102282969 28306829731 31920467569 1330420997357 1500261975743 70512312859921