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471334425444 = 22344328872
BaseRepresentation
bin1101101101111011011…
…10001001001101100100
31200001121002212122110000
412312331232021031210
530210243103103234
61000310020301300
746024051340601
oct6667556111544
91601532778400
10471334425444
11171989aa5013
1277420b41830
13355a638503c
1418b540db6a8
15c3d9249899
hex6dbdb89364

471334425444 has 135 divisors (see below), whose sum is σ = 1262906391747. Its totient is φ = 153284712336.

The previous prime is 471334425431. The next prime is 471334425481. The reversal of 471334425444 is 444524433174.

It is a happy number.

The square root of 471334425444 is 686538.

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

471334425444 is a `hidden beast` number, since 4 + 7 + 13 + 344 + 254 + 44 = 666.

It is a super-2 number, since 2×4713344254442 (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 471334425444.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 531379969 + ... + 531380855.

Almost surely, 2471334425444 is an apocalyptic number.

471334425444 is the 686538-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 471334425444

471334425444 is an abundant number, since it is smaller than the sum of its proper divisors (791571966303).

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

471334425444 is an frugal number, since it uses more digits than its factorization.

471334425444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1876 (or 935 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 45.

The spelling of 471334425444 in words is "four hundred seventy-one billion, three hundred thirty-four million, four hundred twenty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 81 86 108 129 162 172 258 324 387 516 774 887 1161 1548 1774 1849 2322 2661 3483 3548 3698 4644 5322 5547 6966 7396 7983 10644 11094 13932 15966 16641 22188 23949 31932 33282 38141 47898 49923 66564 71847 76282 95796 99846 114423 143694 149769 152564 199692 228846 287388 299538 343269 457692 599076 686538 786769 1029807 1373076 1573538 1640063 2059614 2360307 3089421 3147076 3280126 4119228 4720614 4920189 6178842 6560252 7080921 9441228 9840378 12357684 14161842 14760567 19680756 21242763 28323684 29521134 33831067 42485526 44281701 59042268 63728289 67662134 84971052 88563402 101493201 127456578 132845103 135324268 177126804 202986402 254913156 265690206 304479603 405972804 531380412 608959206 913438809 1217918412 1454735881 1826877618 2740316427 2909471762 3653755236 4364207643 5480632854 5818943524 8728415286 10961265708 13092622929 17456830572 26185245858 39277868787 52370491716 78555737574 117833606361 157111475148 235667212722 471334425444