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421276735890 = 23357961931907
BaseRepresentation
bin1100010000101100000…
…11001101100110010010
31111021101111111112122000
412020112003031212102
523400233321022030
6521310514254430
742302426112663
oct6102603154622
91437344445560
10421276735890
11152731809a4a
1269790887416
1330959696baa
1416565c7136a
15ae597ab860
hex62160cd992

421276735890 has 128 divisors (see below), whose sum is σ = 1139498496000. Its totient is φ = 110735771328.

The previous prime is 421276735889. The next prime is 421276735897. The reversal of 421276735890 is 98537672124.

It is a happy number.

421276735890 is a `hidden beast` number, since 4 + 212 + 76 + 7 + 358 + 9 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (421276735897) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13187317 + ... + 13219223.

It is an arithmetic number, because the mean of its divisors is an integer number (8902332000).

It is a 1-persistent number, because it is pandigital, but 2⋅421276735890 = 842553471780 is not.

Almost surely, 2421276735890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421276735890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569749248000).

421276735890 is an abundant number, since it is smaller than the sum of its proper divisors (718221760110).

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

421276735890 is a wasteful number, since it uses less digits than its factorization.

421276735890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32621 (or 32615 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 421276735890 in words is "four hundred twenty-one billion, two hundred seventy-six million, seven hundred thirty-five thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 79 90 135 158 237 270 395 474 619 711 790 1185 1238 1422 1857 2133 2370 3095 3555 3714 4266 5571 6190 7110 9285 10665 11142 16713 18570 21330 27855 31907 33426 48901 55710 63814 83565 95721 97802 146703 159535 167130 191442 244505 287163 293406 319070 440109 478605 489010 574326 733515 861489 880218 957210 1320327 1435815 1467030 1722978 2200545 2520653 2640654 2871630 4307445 4401090 5041306 6601635 7561959 8614890 12603265 13203270 15123918 19750433 22685877 25206530 37809795 39500866 45371754 59251299 68057631 75619590 98752165 113429385 118502598 136115262 177753897 197504330 226858770 296256495 340288155 355507794 533261691 592512990 680576310 888769485 1066523382 1560284207 1777538970 2666308455 3120568414 4680852621 5332616910 7801421035 9361705242 14042557863 15602842070 23404263105 28085115726 42127673589 46808526210 70212789315 84255347178 140425578630 210638367945 421276735890