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4213973216 = 25192379859
BaseRepresentation
bin1111101100101100…
…0010000011100000
3101212200100000112002
43323023002003200
532112234120331
61534052023132
7206266116125
oct37313020340
911780300462
104213973216
1118727504a2
12997301aa8
1352205bb9b
142bd93274c
15199e3e9cb
hexfb2c20e0

4213973216 has 72 divisors (see below), whose sum is σ = 8993444040. Its totient is φ = 1941947136.

The previous prime is 4213973191. The next prime is 4213973249. The reversal of 4213973216 is 6123793124.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a self number, because there is not a number n which added to its sum of digits gives 4213973216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 422495 + ... + 432353.

It is an arithmetic number, because the mean of its divisors is an integer number (124908945).

Almost surely, 24213973216 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 4213973216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4496722020).

4213973216 is an abundant number, since it is smaller than the sum of its proper divisors (4779470824).

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

4213973216 is a wasteful number, since it uses less digits than its factorization.

4213973216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9944 (or 9917 counting only the distinct ones).

The product of its digits is 54432, while the sum is 38.

The square root of 4213973216 is about 64915.1231686423. The cubic root of 4213973216 is about 1615.2159342183.

The spelling of 4213973216 in words is "four billion, two hundred thirteen million, nine hundred seventy-three thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 19 32 37 38 74 76 148 152 296 304 361 592 608 703 722 1184 1406 1444 2812 2888 5624 5776 9859 11248 11552 13357 19718 22496 26714 39436 53428 78872 106856 157744 187321 213712 315488 364783 374642 427424 729566 749284 1459132 1498568 2918264 2997136 3559099 5836528 5994272 6930877 7118198 11673056 13861754 14236396 27723508 28472792 55447016 56945584 110894032 113891168 131686663 221788064 263373326 526746652 1053493304 2106986608 4213973216