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238750481641 = 72294832
BaseRepresentation
bin1101111001011010100…
…0110011110011101001
3211211020221011010001011
43132112220303303221
512402430110403031
6301402551223521
723151313416100
oct3362650636351
9754227133034
10238750481641
1192287471641
123a331077ba1
131968b560159
14b7ac74d037
1563253dd6b1
hex3796a33ce9

238750481641 has 45 divisors (see below), whose sum is σ = 291156478401. Its totient is φ = 195206043984.

The previous prime is 238750481617. The next prime is 238750481693. The reversal of 238750481641 is 146184057832.

The square root of 238750481641 is 488621.

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

It can be written as a sum of positive squares in 2 ways, for example, as 567440041 + 238183041600 = 23821^2 + 488040^2 .

It is not a de Polignac number, because 238750481641 - 211 = 238750479593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (238750481611) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2876511786 + ... + 2876511868.

Almost surely, 2238750481641 is an apocalyptic number.

238750481641 is the 488621-st square number.

238750481641 is the 244311-st centered octagonal number.

It is an amenable number.

238750481641 is a deficient number, since it is larger than the sum of its proper divisors (52405996760).

238750481641 is an frugal number, since it uses more digits than its factorization.

238750481641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 49.

Multiplying 238750481641 by its sum of digits (49), we get a square (11698773600409 = 34203472).

238750481641 divided by its sum of digits (49) gives a square (4872458809 = 698032).

The spelling of 238750481641 in words is "two hundred thirty-eight billion, seven hundred fifty million, four hundred eighty-one thousand, six hundred forty-one".

Divisors: 1 7 29 49 83 203 581 841 1421 2407 4067 5887 6889 16849 24389 41209 48223 69803 117943 170723 199781 337561 488621 707281 1195061 1398467 2024287 3420347 4950967 5793649 9789269 14170009 34656769 40555543 58704323 99190063 168015821 283888801 410930261 1176110747 2876511827 4872458809 8232775229 34107211663 238750481641