Search a number
-
+
21219274368 = 273291120219
BaseRepresentation
bin10011110000110001…
…000110111010000000
32000202210210211020200
4103300301012322000
5321424113234433
613425322405200
71350555566445
oct236061067200
960683724220
1021219274368
118aa97aa996
124142360800
13200218a166
1410541d19cc
15842d12613
hex4f0c46e80

21219274368 has 96 divisors (see below), whose sum is σ = 61130721600. Its totient is φ = 7064977920.

The previous prime is 21219274367. The next prime is 21219274399. The reversal of 21219274368 is 86347291212.

21219274368 is a `hidden beast` number, since 2 + 1 + 2 + 19 + 274 + 368 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (21219274367) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1039363 + ... + 1059581.

It is an arithmetic number, because the mean of its divisors is an integer number (636778350).

Almost surely, 221219274368 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 21219274368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30565360800).

21219274368 is an abundant number, since it is smaller than the sum of its proper divisors (39911447232).

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

21219274368 is a wasteful number, since it uses less digits than its factorization.

21219274368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21150 (or 21135 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The spelling of 21219274368 in words is "twenty-one billion, two hundred nineteen million, two hundred seventy-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 911 1152 1822 2733 3644 5466 7288 8199 10932 14576 16398 20219 21864 29152 32796 40438 43728 58304 60657 65592 80876 87456 116608 121314 131184 161752 174912 181971 242628 262368 323504 349824 363942 485256 524736 647008 727884 970512 1049472 1294016 1455768 1941024 2588032 2911536 3882048 5823072 7764096 11646144 18419509 23292288 36839018 55258527 73678036 110517054 147356072 165775581 221034108 294712144 331551162 442068216 589424288 663102324 884136432 1178848576 1326204648 1768272864 2357697152 2652409296 3536545728 5304818592 7073091456 10609637184 21219274368