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4221746640 = 2432516735111
BaseRepresentation
bin1111101110100010…
…1011110111010000
3101220012221221122200
43323220223313100
532121231343030
61534530403200
7206422153146
oct37350536720
911805857580
104221746640
11187707a811
12999a30500
13523851147
142c0997596
1519a977d60
hexfba2bdd0

4221746640 has 120 divisors (see below), whose sum is σ = 14263337088. Its totient is φ = 1119025920.

The previous prime is 4221746587. The next prime is 4221746647. The reversal of 4221746640 is 466471224.

4221746640 is a `hidden beast` number, since 4 + 2 + 2 + 1 + 7 + 4 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4221746595 and 4221746604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4221746647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102685 + ... + 137795.

Almost surely, 24221746640 is an apocalyptic number.

4221746640 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 4221746640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7131668544).

4221746640 is an abundant number, since it is smaller than the sum of its proper divisors (10041590448).

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

4221746640 is a wasteful number, since it uses less digits than its factorization.

4221746640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35297 (or 35288 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 4221746640 is about 64974.9693343521. The cubic root of 4221746640 is about 1616.2085086149.

The spelling of 4221746640 in words is "four billion, two hundred twenty-one million, seven hundred forty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 167 180 240 334 360 501 668 720 835 1002 1336 1503 1670 2004 2505 2672 3006 3340 4008 5010 6012 6680 7515 8016 10020 12024 13360 15030 20040 24048 30060 35111 40080 60120 70222 105333 120240 140444 175555 210666 280888 315999 351110 421332 526665 561776 631998 702220 842664 1053330 1263996 1404440 1579995 1685328 2106660 2527992 2808880 3159990 4213320 5055984 5863537 6319980 8426640 11727074 12639960 17590611 23454148 25279920 29317685 35181222 46908296 52771833 58635370 70362444 87953055 93816592 105543666 117270740 140724888 175906110 211087332 234541480 263859165 281449776 351812220 422174664 469082960 527718330 703624440 844349328 1055436660 1407248880 2110873320 4221746640