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4213437921 = 32721122812
BaseRepresentation
bin1111101100100011…
…1111010111100001
3101212122022211020100
43323020333113201
532112120003141
61534032333013
7206261426400
oct37310772741
911778284210
104213437921
111872415300
129970a4169
13521c02344
142bd833637
15199d860b6
hexfb23f5e1

4213437921 has 81 divisors (see below), whose sum is σ = 7809635379. Its totient is φ = 2181009600.

The previous prime is 4213437841. The next prime is 4213437931. The reversal of 4213437921 is 1297343124.

It is a happy number.

The square root of 4213437921 is 64911.

It is a perfect power (a square), and thus also a powerful number.

4213437921 is a `hidden beast` number, since 4 + 213 + 437 + 9 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2847396321 + 1366041600 = 53361^2 + 36960^2 .

It is a de Polignac number, because none of the positive numbers 2k-4213437921 is a prime.

It is a super-2 number, since 2×42134379212 = 35506118228241604482, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4213437931) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 14994301 + ... + 14994581.

Almost surely, 24213437921 is an apocalyptic number.

4213437921 is the 64911-st square number.

4213437921 is the 32456-th centered octagonal number.

It is an amenable number.

4213437921 is a deficient number, since it is larger than the sum of its proper divisors (3596197458).

4213437921 is a wasteful number, since it uses less digits than its factorization.

4213437921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 302 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The cubic root of 4213437921 is about 1615.1475384643.

Multiplying 4213437921 by its sum of digits (36), we get a square (151683765156 = 3894662).

The spelling of 4213437921 in words is "four billion, two hundred thirteen million, four hundred thirty-seven thousand, nine hundred twenty-one".

Divisors: 1 3 7 9 11 21 33 49 63 77 99 121 147 231 281 363 441 539 693 843 847 1089 1617 1967 2529 2541 3091 4851 5901 5929 7623 9273 13769 17703 17787 21637 27819 34001 41307 53361 64911 78961 102003 123921 151459 194733 236883 238007 306009 454377 552727 710649 714021 868571 1363131 1658181 1666049 2142063 2605713 3869089 4974543 4998147 6079997 7817139 9554281 11607267 14994441 18239991 28662843 34821801 42559979 54719973 66879967 85988529 127679937 200639901 383039811 468159769 601919703 1404479307 4213437921