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421416739060 = 225891934332833
BaseRepresentation
bin1100010000111100110…
…01010010000011110100
31111021202020221102212121
412020132121102003310
523401030141122220
6521332435125324
742306046115332
oct6103631220364
91437666842777
10421416739060
111527a3843449
126980b743844
133097c6a57c5
141657a6b6b52
15ae66c13eaa
hex621e6520f4

421416739060 has 96 divisors (see below), whose sum is σ = 901951333920. Its totient is φ = 165367775232.

The previous prime is 421416739033. The next prime is 421416739069. The reversal of 421416739060 is 60937614124.

It can be written as a sum of positive squares in 16 ways, for example, as 313803873124 + 107612865936 = 560182^2 + 328044^2 .

It is a junction number, because it is equal to n+sod(n) for n = 421416738998 and 421416739016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421416739069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148751404 + ... + 148754236.

It is an arithmetic number, because the mean of its divisors is an integer number (9395326395).

Almost surely, 2421416739060 is an apocalyptic number.

It is an amenable number.

421416739060 is an abundant number, since it is smaller than the sum of its proper divisors (480534594860).

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

421416739060 is a wasteful number, since it uses less digits than its factorization.

421416739060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3557 (or 3555 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The spelling of 421416739060 in words is "four hundred twenty-one billion, four hundred sixteen million, seven hundred thirty-nine thousand, sixty".

Divisors: 1 2 4 5 10 20 89 178 193 356 386 433 445 772 866 890 965 1732 1780 1930 2165 2833 3860 4330 5666 8660 11332 14165 17177 28330 34354 38537 56660 68708 77074 83569 85885 154148 167138 171770 192685 252137 334276 343540 385370 417845 504274 546769 770740 835690 1008548 1093538 1226689 1260685 1671380 2187076 2453378 2521370 2733845 4906756 5042740 5467690 6133445 7437641 10935380 12266890 14875282 24533780 29750564 37188205 48662441 74376410 97324882 109175321 148752820 194649764 218350642 236750977 243312205 436701284 473501954 486624410 545876605 947003908 973248820 1091753210 1183754885 2183506420 2367509770 4735019540 21070836953 42141673906 84283347812 105354184765 210708369530 421416739060