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420086370753 = 32719953936791
BaseRepresentation
bin1100001110011110001…
…10010101000111000001
31111011022112121201122100
412013033012111013001
523340314102331003
6520552432501013
742231063143460
oct6071706250701
91434275551570
10420086370753
11152180894005
12694ba0aa769
13307c9b9701a
1416491b2c9d7
15adda025ba3
hex61cf1951c1

420086370753 has 48 divisors (see below), whose sum is σ = 730071014400. Its totient is φ = 227385156960.

The previous prime is 420086370751. The next prime is 420086370757. The reversal of 420086370753 is 357073680024.

420086370753 is a `hidden beast` number, since 4 + 2 + 0 + 0 + 8 + 637 + 0 + 7 + 5 + 3 = 666.

It is not a de Polignac number, because 420086370753 - 21 = 420086370751 is a prime.

It is a super-3 number, since 3×4200863707533 (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 420086370699 and 420086370708.

It is not an unprimeable number, because it can be changed into a prime (420086370751) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11399788 + ... + 11436578.

It is an arithmetic number, because the mean of its divisors is an integer number (15209812800).

Almost surely, 2420086370753 is an apocalyptic number.

It is an amenable number.

420086370753 is a deficient number, since it is larger than the sum of its proper divisors (309984643647).

420086370753 is a wasteful number, since it uses less digits than its factorization.

420086370753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46362 (or 46359 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 420086370753 in words is "four hundred twenty billion, eighty-six million, three hundred seventy thousand, seven hundred fifty-three".

Divisors: 1 3 7 9 19 21 57 63 133 171 399 1197 9539 28617 36791 66773 85851 110373 181241 200319 257537 331119 543723 600957 699029 772611 1268687 1631169 2097087 2317833 3806061 4893203 6291261 11418183 14679609 44038827 350949349 1052848047 2456645443 3158544141 6668037631 7369936329 20004112893 22109808987 46676263417 60012338679 140028790251 420086370753