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485137731584 = 2121129371291
BaseRepresentation
bin1110000111101000111…
…01100101000000000000
31201101020002020020202202
413003310131211000000
530422030224402314
61010511425132332
750023110451622
oct7036435450000
91641202206682
10485137731584
11177822669240
127a03378a0a8
1336995cc66cc
14196a3412c12
15c945e780de
hex70f4765000

485137731584 has 104 divisors (see below), whose sum is σ = 1094850997920. Its totient is φ = 212912537600.

The previous prime is 485137731583. The next prime is 485137731601.

485137731584 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4851377315842 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (485137731583) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1120979 + ... + 1492269.

Almost surely, 2485137731584 is an apocalyptic number.

485137731584 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 485137731584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547425498960).

485137731584 is an abundant number, since it is smaller than the sum of its proper divisors (609713266336).

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

485137731584 is a wasteful number, since it uses less digits than its factorization.

485137731584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371355 (or 371333 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 56.

The spelling of 485137731584 in words is "four hundred eighty-five billion, one hundred thirty-seven million, seven hundred thirty-one thousand, five hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 128 176 232 256 319 352 464 512 638 704 928 1024 1276 1408 1856 2048 2552 2816 3712 4096 5104 5632 7424 10208 11264 14848 20416 22528 29696 40832 45056 59392 81664 118784 163328 326656 371291 653312 742582 1306624 1485164 2970328 4084201 5940656 8168402 10767439 11881312 16336804 21534878 23762624 32673608 43069756 47525248 65347216 86139512 95050496 118441829 130694432 172279024 190100992 236883658 261388864 344558048 380201984 473767316 522777728 689116096 760403968 947534632 1045555456 1378232192 1520807936 1895069264 2091110912 2756464384 3790138528 4182221824 5512928768 7580277056 8364443648 11025857536 15160554112 16728887296 22051715072 30321108224 44103430144 60642216448 121284432896 242568865792 485137731584