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416253964880 = 245131483126987
BaseRepresentation
bin1100000111010101010…
…10110111001001010000
31110210102110021100010002
412003222222313021100
523304442003334010
6515120251025132
742034106215505
oct6035252671120
91423373240102
10416253964880
11150594569826
126880a73b1a8
1330338bc4840
141620ab634ac
15ac638581a5
hex60eaab7250

416253964880 has 80 divisors (see below), whose sum is σ = 1042344785664. Its totient is φ = 153677713920.

The previous prime is 416253964853. The next prime is 416253964891. The reversal of 416253964880 is 88469352614.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15410747 + ... + 15437733.

Almost surely, 2416253964880 is an apocalyptic number.

416253964880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

416253964880 is an abundant number, since it is smaller than the sum of its proper divisors (626090820784).

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

416253964880 is a wasteful number, since it uses less digits than its factorization.

416253964880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41844 (or 41838 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 56.

The spelling of 416253964880 in words is "four hundred sixteen billion, two hundred fifty-three million, nine hundred sixty-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 14831 26987 29662 53974 59324 74155 107948 118648 134935 148310 192803 215896 237296 269870 296620 350831 385606 431792 539740 593240 701662 771212 964015 1079480 1186480 1403324 1542424 1754155 1928030 2158960 2806648 3084848 3508310 3856060 5613296 7016620 7712120 14033240 15424240 28066480 400244197 800488394 1600976788 2001220985 3201953576 4002441970 5203174561 6403907152 8004883940 10406349122 16009767880 20812698244 26015872805 32019535760 41625396488 52031745610 83250792976 104063491220 208126982440 416253964880