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421303015917 = 32721997569911
BaseRepresentation
bin1100010000101111001…
…11011101100111101101
31111021110022221201001100
412020113213131213231
523400312033002132
6521313253433313
742303165356100
oct6102747354755
91437408851040
10421303015917
11152745629583
126979963b839
1330961c688c4
1416569552737
15ae5bc4d37c
hex62179dd9ed

421303015917 has 144 divisors (see below), whose sum is σ = 754994822400. Its totient is φ = 225078497280.

The previous prime is 421303015901. The next prime is 421303015919. The reversal of 421303015917 is 719510303124.

421303015917 is a `hidden beast` number, since 4 + 2 + 1 + 30 + 30 + 1 + 591 + 7 = 666.

It is not a de Polignac number, because 421303015917 - 24 = 421303015901 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421303015919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 462461692 + ... + 462462602.

It is an arithmetic number, because the mean of its divisors is an integer number (5243019600).

Almost surely, 2421303015917 is an apocalyptic number.

It is an amenable number.

421303015917 is a deficient number, since it is larger than the sum of its proper divisors (333691806483).

421303015917 is a wasteful number, since it uses less digits than its factorization.

421303015917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 421303015917 in words is "four hundred twenty-one billion, three hundred three million, fifteen thousand, nine hundred seventeen".

Divisors: 1 3 7 9 19 21 49 57 63 97 133 147 171 291 399 441 569 679 873 911 931 1197 1707 1843 2037 2733 2793 3983 4753 5121 5529 6111 6377 8199 8379 10811 11949 12901 14259 16587 17309 19131 27881 32433 35847 38703 42777 44639 51927 55193 57393 75677 83643 88367 90307 97299 116109 121163 133917 155781 165579 227031 250929 265101 270921 363489 386351 401751 496737 518359 529739 618569 681093 795303 812763 848141 1048667 1090467 1159053 1555077 1589217 1678973 1855707 2544423 2704457 3146001 3477159 3628513 4329983 4665231 4767651 5036919 5567121 7340669 7633269 8113371 9438003 9848821 10885539 11752811 12989949 15110757 22022007 24340113 25399591 29546463 32656617 35258433 38969847 50280823 51384683 66066021 68941747 76198773 82269677 88639389 105775299 150842469 154154049 206825241 228596319 246809031 351965761 452527407 462462147 482592229 620475723 740427093 955335637 1055897283 1447776687 2463760327 2866006911 3167691849 4343330061 6687349459 7391280981 8598020733 20062048377 22173842943 46811446213 60186145131 140434338639 421303015917