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473429041722 = 2327213371115941
BaseRepresentation
bin1101110001110101001…
…00011110001000111010
31200021000002021011210200
412320322210132020322
530224040313313342
61001253523223030
746130004312600
oct6707244361072
91607002234720
10473429041722
1117286439624a
1277906517a76
133584b309560
1418cb2385870
15c4ad09b94c
hex6e3a91e23a

473429041722 has 144 divisors (see below), whose sum is σ = 1319753183112. Its totient is φ = 121485692160.

The previous prime is 473429041711. The next prime is 473429041733. The reversal of 473429041722 is 227140924374.

473429041722 is a `hidden beast` number, since 473 + 4 + 2 + 9 + 0 + 4 + 172 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (473429041711) and next prime (473429041733).

It can be written as a sum of positive squares in 4 ways, for example, as 473260067721 + 168974001 = 687939^2 + 12999^2 .

It is a super-2 number, since 2×4734290417222 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 133729 + ... + 982212.

Almost surely, 2473429041722 is an apocalyptic number.

473429041722 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 473429041722, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659876591556).

473429041722 is an abundant number, since it is smaller than the sum of its proper divisors (846324141390).

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

473429041722 is a wasteful number, since it uses less digits than its factorization.

473429041722 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116013 (or 1116003 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 473429041722 in words is "four hundred seventy-three billion, four hundred twenty-nine million, forty-one thousand, seven hundred twenty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 37 39 42 49 63 74 78 91 98 111 117 126 147 182 222 234 259 273 294 333 441 481 518 546 637 666 777 819 882 962 1274 1443 1554 1638 1813 1911 2331 2886 3367 3626 3822 4329 4662 5439 5733 6734 8658 10101 10878 11466 16317 20202 23569 30303 32634 47138 60606 70707 141414 212121 424242 1115941 2231882 3347823 6695646 7811587 10043469 14507233 15623174 20086938 23434761 29014466 41289817 43521699 46869522 54681109 70304283 82579634 87043398 101550631 109362218 123869451 130565097 140608566 164043327 203101262 247738902 261130194 289028719 304651893 328086654 371608353 492129981 536767621 578057438 609303786 710854417 743216706 867086157 913955679 984259962 1073535242 1421708834 1610302863 1734172314 1827911358 2023201033 2132563251 2601258471 3220605726 3757373347 4046402066 4265126502 4830908589 5202516942 6069603099 6397689753 7514746694 9661817178 11272120041 12139206198 12795379506 18208809297 22544240082 26301613429 33816360123 36417618594 52603226858 67632720246 78904840287 157809680574 236714520861 473429041722