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4212545000 = 23544120549
BaseRepresentation
bin1111101100010110…
…0101010111101000
3101212120122110101012
43323011211113220
532111402420000
61534001243052
7206251020206
oct37305452750
911776573335
104212545000
111871965454
12996933488
1352197baa1
142bd680076
15199c5b735
hexfb1655e8

4212545000 has 80 divisors (see below), whose sum is σ = 10111216500. Its totient is φ = 1643840000.

The previous prime is 4212544991. The next prime is 4212545021. The reversal of 4212545000 is 5452124.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 243796996 + 3968748004 = 15614^2 + 62998^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 194726 + ... + 215274.

Almost surely, 24212545000 is an apocalyptic number.

4212545000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4212545000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5055608250).

4212545000 is an abundant number, since it is smaller than the sum of its proper divisors (5898671500).

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

4212545000 is a wasteful number, since it uses less digits than its factorization.

4212545000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20616 (or 20597 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 4212545000 is about 64904.1215948571. The cubic root of 4212545000 is about 1615.0334352013.

Adding to 4212545000 its reverse (5452124), we get a palindrome (4217997124).

The spelling of 4212545000 in words is "four billion, two hundred twelve million, five hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 125 164 200 205 250 328 410 500 625 820 1000 1025 1250 1640 2050 2500 4100 5000 5125 8200 10250 20500 20549 25625 41000 41098 51250 82196 102500 102745 164392 205000 205490 410980 513725 821960 842509 1027450 1685018 2054900 2568625 3370036 4109800 4212545 5137250 6740072 8425090 10274500 12843125 16850180 20549000 21062725 25686250 33700360 42125450 51372500 84250900 102745000 105313625 168501800 210627250 421254500 526568125 842509000 1053136250 2106272500 4212545000