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4213211620 = 2251931335423
BaseRepresentation
bin1111101100100000…
…1000000111100100
3101212121220022210211
43323020020013210
532112040232440
61534023425204
7206256464542
oct37310100744
911777808724
104213211620
111872280282
12996bb5204
13521b53337
142bd7b4d92
15199d3deea
hexfb2081e4

4213211620 has 48 divisors (see below), whose sum is σ = 9343434240. Its totient is φ = 1591439616.

The previous prime is 4213211603. The next prime is 4213211633. The reversal of 4213211620 is 261123124.

It is a junction number, because it is equal to n+sod(n) for n = 4213211591 and 4213211600.

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, 101229 + ... + 136651.

It is an arithmetic number, because the mean of its divisors is an integer number (194654880).

Almost surely, 24213211620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4213211620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4671717120).

4213211620 is an abundant number, since it is smaller than the sum of its proper divisors (5130222620).

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

4213211620 is a wasteful number, since it uses less digits than its factorization.

4213211620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35764 (or 35762 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 4213211620 is about 64909.2568128769. The cubic root of 4213211620 is about 1615.1186217733.

Adding to 4213211620 its reverse (261123124), we get a palindrome (4474334744).

The spelling of 4213211620 in words is "four billion, two hundred thirteen million, two hundred eleven thousand, six hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 313 380 626 1252 1565 3130 5947 6260 11894 23788 29735 35423 59470 70846 118940 141692 177115 354230 673037 708460 1346074 2692148 3365185 6730370 11087399 13460740 22174798 44349596 55436995 110873990 210660581 221747980 421321162 842642324 1053302905 2106605810 4213211620