Search a number
-
+
420212175672 = 23331169918053
BaseRepresentation
bin1100001110101101001…
…10001111001100111000
31111011122022100021112210
412013112212033030320
523341043304110142
6521013125135120
742234151362612
oct6072646171470
91434568307483
10420212175672
11152235900113
126953425a4a0
1330819c741c3
14164a4719db2
15ade60c649c
hex61d698f338

420212175672 has 64 divisors (see below), whose sum is σ = 1054189992960. Its totient is φ = 139583030400.

The previous prime is 420212175583. The next prime is 420212175791. The reversal of 420212175672 is 276571212024.

It is a happy number.

420212175672 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 420212175672.

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, 52176798 + ... + 52184850.

It is an arithmetic number, because the mean of its divisors is an integer number (16471718640).

Almost surely, 2420212175672 is an apocalyptic number.

It is an amenable number.

420212175672 is an abundant number, since it is smaller than the sum of its proper divisors (633977817288).

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

420212175672 is a wasteful number, since it uses less digits than its factorization.

420212175672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15364 (or 15360 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

Adding to 420212175672 its reverse (276571212024), we get a palindrome (696783387696).

The spelling of 420212175672 in words is "four hundred twenty billion, two hundred twelve million, one hundred seventy-five thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 311 622 933 1244 1866 2488 3732 6991 7464 8053 13982 16106 20973 24159 27964 32212 41946 48318 55928 64424 83892 96636 167784 193272 2174201 2504483 4348402 5008966 6522603 7513449 8696804 10017932 13045206 15026898 17393608 20035864 26090412 30053796 52180824 56298523 60107592 112597046 168895569 225194092 337791138 450388184 675582276 1351164552 17508840653 35017681306 52526521959 70035362612 105053043918 140070725224 210106087836 420212175672