Search a number
-
+
481345379352 = 2332157229185947
BaseRepresentation
bin1110000000100100110…
…10111001110000011000
31201000102210020210111200
413000102122321300120
530341243404114402
61005043233554200
746530121134255
oct7002232716030
91630383223450
10481345379352
11176156a10942
1279355715960
13365104092c6
14194238b242c
15c7c306d21c
hex70126b9c18

481345379352 has 96 divisors (see below), whose sum is σ = 1317683312400. Its totient is φ = 158729455872.

The previous prime is 481345379299. The next prime is 481345379353. The reversal of 481345379352 is 253973543184.

481345379352 is a `hidden beast` number, since 4 + 8 + 13 + 4 + 537 + 93 + 5 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481345379353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2495643 + ... + 2681589.

Almost surely, 2481345379352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481345379352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658841656200).

481345379352 is an abundant number, since it is smaller than the sum of its proper divisors (836337933048).

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

481345379352 is a wasteful number, since it uses less digits than its factorization.

481345379352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186345 (or 186338 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The spelling of 481345379352 in words is "four hundred eighty-one billion, three hundred forty-five million, three hundred seventy-nine thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 157 229 314 458 471 628 687 916 942 1256 1374 1413 1832 1884 2061 2748 2826 3768 4122 5496 5652 8244 11304 16488 35953 71906 107859 143812 185947 215718 287624 323577 371894 431436 557841 647154 743788 862872 1115682 1294308 1487576 1673523 2231364 2588616 3347046 4462728 6694092 13388184 29193679 42581863 58387358 85163726 87581037 116774716 127745589 170327452 175162074 233549432 255491178 262743111 340654904 350324148 383236767 510982356 525486222 700648296 766473534 1021964712 1050972444 1532947068 2101944888 3065894136 6685352491 13370704982 20056057473 26741409964 40112114946 53482819928 60168172419 80224229892 120336344838 160448459784 240672689676 481345379352