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420527425410 = 23451947581377
BaseRepresentation
bin1100001111010010110…
…00110100011110000010
31111012110021112121220000
412013221120310132002
523342220010103120
6521104310100430
742245030065221
oct6075130643602
91435407477800
10420527425410
1115238784a994
126960194a716
133086a381201
14164d453ccb8
15ae13ae8990
hex61e9634782

420527425410 has 160 divisors (see below), whose sum is σ = 1215591632640. Its totient is φ = 103977934848.

The previous prime is 420527425403. The next prime is 420527425411. The reversal of 420527425410 is 14524725024.

420527425410 is a `hidden beast` number, since 4 + 20 + 52 + 7 + 42 + 541 + 0 = 666.

It is a super-2 number, since 2×4205274254102 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (420527425411) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 432642 + ... + 1014018.

It is an arithmetic number, because the mean of its divisors is an integer number (7597447704).

Almost surely, 2420527425410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420527425410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607795816320).

420527425410 is an abundant number, since it is smaller than the sum of its proper divisors (795064207230).

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

420527425410 is a wasteful number, since it uses less digits than its factorization.

420527425410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581462 (or 581453 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 36.

The spelling of 420527425410 in words is "four hundred twenty billion, five hundred twenty-seven million, four hundred twenty-five thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 47 54 57 81 90 94 95 114 135 141 162 171 190 235 270 282 285 342 405 423 470 513 570 705 810 846 855 893 1026 1269 1410 1539 1710 1786 2115 2538 2565 2679 3078 3807 4230 4465 5130 5358 6345 7614 7695 8037 8930 12690 13395 15390 16074 19035 24111 26790 38070 40185 48222 72333 80370 120555 144666 241110 361665 581377 723330 1162754 1744131 2906885 3488262 5232393 5813770 8720655 10464786 11046163 15697179 17441310 22092326 26161965 27324719 31394358 33138489 47091537 52323930 54649438 55230815 66276978 78485895 81974157 94183074 99415467 110461630 136623595 156971790 163948314 165692445 198830934 235457685 245922471 273247190 298246401 331384890 409870785 470915370 491844942 497077335 519169661 596492802 737767413 819741570 894739203 994154670 1038339322 1229612355 1475534826 1491232005 1557508983 1789478406 2213302239 2459224710 2595848305 2982464010 3115017966 3688837065 4426604478 4473696015 4672526949 5191696610 7377674130 7787544915 8947392030 9345053898 11066511195 14017580847 15575089830 22133022390 23362634745 28035161694 42052742541 46725269490 70087904235 84105485082 140175808470 210263712705 420527425410