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470346329124 = 22347254432
BaseRepresentation
bin1101101100000101101…
…00110110110000100100
31122222001020121011010000
412312002310312300210
530201232130012444
61000024002101300
745660422555400
oct6660264666044
91588036534100
10470346329124
11171522271691
12771a604a830
1335479755069
1418a9cbac100
15c37c61a469
hex6d82d36c24

470346329124 has 135 divisors (see below), whose sum is σ = 1430588506347. Its totient is φ = 134359976016.

The previous prime is 470346329051. The next prime is 470346329147. The reversal of 470346329124 is 421923643074.

The square root of 470346329124 is 685818.

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

470346329124 is a `hidden beast` number, since 4 + 7 + 0 + 3 + 4 + 632 + 9 + 1 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 470346329124.

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, 86410347 + ... + 86415789.

Almost surely, 2470346329124 is an apocalyptic number.

470346329124 is the 685818-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470346329124

470346329124 is an abundant number, since it is smaller than the sum of its proper divisors (960242177223).

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

470346329124 is an frugal number, since it uses more digits than its factorization.

470346329124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10916 (or 5455 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 470346329124 in words is "four hundred seventy billion, three hundred forty-six million, three hundred twenty-nine thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 882 1134 1323 1764 2268 2646 3969 5292 5443 7938 10886 15876 16329 21772 32658 38101 48987 65316 76202 97974 114303 146961 152404 195948 228606 266707 293922 342909 440883 457212 533414 587844 685818 800121 881766 1028727 1066828 1371636 1600242 1763532 2057454 2400363 3086181 3200484 4114908 4800726 6172362 7201089 9601452 12344724 14402178 21603267 28804356 29626249 43206534 59252498 86413068 88878747 118504996 177757494 207383743 266636241 355514988 414767486 533272482 622151229 799908723 829534972 1066544964 1244302458 1451686201 1599817446 1866453687 2399726169 2488604916 2903372402 3199634892 3732907374 4355058603 4799452338 5599361061 5806744804 7465814748 8710117206 9598904676 11198722122 13065175809 16798083183 17420234412 22397444244 26130351618 33596166366 39195527427 52260703236 67192332732 78391054854 117586582281 156782109708 235173164562 470346329124