Search a number
-
+
469512744100 = 2252685212
BaseRepresentation
bin1101101010100010010…
…00111110110010100100
31122212220011001122102121
412311101020332302210
530143030230302400
6555405143315324
745630651322351
oct6652110766244
91585804048377
10469512744100
11171134781944
1276bb2a4bb44
1335375b4349a
1418a201bd628
15c32e35c21a
hex6d5123eca4

469512744100 has 27 divisors (see below), whose sum is σ = 1018857523971. Its totient is φ = 187802356800.

The previous prime is 469512744023. The next prime is 469512744157. The reversal of 469512744100 is 1447215964.

The square root of 469512744100 is 685210.

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

It can be written as a sum of positive squares in 4 ways, for example, as 104203713636 + 365309030464 = 322806^2 + 604408^2 .

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 6817840 + ... + 6886360.

Almost surely, 2469512744100 is an apocalyptic number.

469512744100 is the 685210-th square number.

It is an amenable number.

469512744100 is an abundant number, since it is smaller than the sum of its proper divisors (549344779871).

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

469512744100 is an frugal number, since it uses more digits than its factorization.

469512744100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137056 (or 68528 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The spelling of 469512744100 in words is "four hundred sixty-nine billion, five hundred twelve million, seven hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 68521 137042 274084 342605 685210 1370420 1713025 3426050 6852100 4695127441 9390254882 18780509764 23475637205 46951274410 93902548820 117378186025 234756372050 469512744100