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471480604704 = 25324141339661
BaseRepresentation
bin1101101110001100110…
…11110001100000100000
31200001222021221022200200
412313012123301200200
530211043013322304
61000332321345200
746030505005314
oct6670633614040
91601867838620
10471480604704
11171a5456771a
1277461a98200
13355ca746b45
1418b696adb44
15c3e6ec1e39
hex6dc66f1820

471480604704 has 144 divisors (see below), whose sum is σ = 1373949269784. Its totient is φ = 153274060800.

The previous prime is 471480604681. The next prime is 471480604709. The reversal of 471480604704 is 407406084174.

It is a happy number.

471480604704 is a `hidden beast` number, since 4 + 71 + 480 + 60 + 47 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 166180153104 + 305300451600 = 407652^2 + 552540^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×4714806047042 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 471480604704.

It is not an unprimeable number, because it can be changed into a prime (471480604709) 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, 48797634 + ... + 48807294.

Almost surely, 2471480604704 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 471480604704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686974634892).

471480604704 is an abundant number, since it is smaller than the sum of its proper divisors (902468665080).

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

471480604704 is a wasteful number, since it uses less digits than its factorization.

471480604704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13851 (or 13840 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

Adding to 471480604704 its reverse (407406084174), we get a palindrome (878886688878).

The spelling of 471480604704 in words is "four hundred seventy-one billion, four hundred eighty million, six hundred four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 72 82 96 123 144 164 246 288 328 369 492 656 738 984 1312 1476 1968 2952 3936 4133 5904 8266 9661 11808 12399 16532 19322 24798 28983 33064 37197 38644 49596 57966 66128 74394 77288 86949 99192 115932 132256 148788 154576 169453 173898 198384 231864 297576 309152 338906 347796 396101 396768 463728 508359 595152 677812 695592 792202 927456 1016718 1188303 1190304 1355624 1391184 1525077 1584404 2033436 2376606 2711248 2782368 3050154 3168808 3564909 4066872 4753212 5422496 6100308 6337616 7129818 8133744 9506424 12200616 12675232 14259636 16267488 19012848 24401232 28519272 38025696 39928913 48802464 57038544 79857826 114077088 119786739 159715652 239573478 319431304 359360217 479146956 638862608 718720434 958293912 1277725216 1437440868 1637085433 1916587824 2874881736 3274170866 3833175648 4911256299 5749763472 6548341732 9822512598 11499526944 13096683464 14733768897 19645025196 26193366928 29467537794 39290050392 52386733856 58935075588 78580100784 117870151176 157160201568 235740302352 471480604704