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420224549646 = 2311591992392269
BaseRepresentation
bin1100001110101110101…
…01011100001100001110
31111011200011121221110010
412013113111130030032
523341104441042041
6521014250254050
742234361510416
oct6072725341416
91434604557403
10420224549646
11152241891940
1269538427326
133081c6b7495
14164a621b646
15ade721ca16
hex61d755c30e

420224549646 has 128 divisors (see below), whose sum is σ = 941414400000. Its totient is φ = 123977589120.

The previous prime is 420224549599. The next prime is 420224549687. The reversal of 420224549646 is 646945422024.

It is a junction number, because it is equal to n+sod(n) for n = 420224549595 and 420224549604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 185201400 + ... + 185203668.

It is an arithmetic number, because the mean of its divisors is an integer number (7354800000).

Almost surely, 2420224549646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420224549646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470707200000).

420224549646 is an abundant number, since it is smaller than the sum of its proper divisors (521189850354).

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

420224549646 is a wasteful number, since it uses less digits than its factorization.

420224549646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2782.

The product of its (nonzero) digits is 3317760, while the sum is 48.

The spelling of 420224549646 in words is "four hundred twenty billion, two hundred twenty-four million, five hundred forty-nine thousand, six hundred forty-six".

Divisors: 1 2 3 6 11 22 33 59 66 118 177 199 239 354 398 478 597 649 717 1194 1298 1434 1947 2189 2269 2629 3894 4378 4538 5258 6567 6807 7887 11741 13134 13614 14101 15774 23482 24959 28202 35223 42303 47561 49918 70446 74877 84606 95122 129151 133871 142683 149754 155111 258302 267742 285366 310222 387453 401613 451531 465333 523171 542291 774906 803226 903062 930666 1046342 1084582 1354593 1472581 1569513 1626873 2709186 2806099 2945162 3139026 3253746 4417743 4966841 5612198 5965201 8418297 8835486 9933682 11930402 14900523 16836594 17895603 26640329 29801046 30867089 31995169 35791206 53280658 61734178 63990338 79920987 92601267 95985507 107915909 159841974 185202534 191971014 215831818 293043619 323747727 351946859 586087238 647495454 703893718 879130857 1055840577 1187074999 1758261714 2111681154 2374149998 3561224997 6367038631 7122449994 12734077262 19101115893 38202231786 70037424941 140074849882 210112274823 420224549646