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21474836480 = 2325
BaseRepresentation
bin10100000000000000…
…000000000000000000
32001102121200201120002
4110000000000000000
5322440024231410
613510532135132
71360111045466
oct240000000000
961377621502
1021474836480
11911aa92549
1241b3a674a8
1320430c9446
14107a118836
1585a4947a5
hex500000000

21474836480 has 66 divisors (see below), whose sum is σ = 51539607546. Its totient is φ = 8589934592.

The previous prime is 21474836479. The next prime is 21474836483. The reversal of 21474836480 is 8463847412.

It can be written as a sum of positive squares in only one way, i.e., 17179869184 + 4294967296 = 131072^2 + 65536^2 .

It is a super-2 number, since 2×214748364802 (a number of 21 digits) contains 22 as substring.

It is a nialpdrome in base 4 and base 16.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21474836483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

In principle, a polygon with 21474836480 sides can be constructed with ruler and compass.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4294967294 + ... + 4294967298.

Almost surely, 221474836480 is an apocalyptic number.

21474836480 is a gapful number since it is divisible by the number (20) 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 21474836480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25769803773).

21474836480 is an abundant number, since it is smaller than the sum of its proper divisors (30064771066).

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

21474836480 is an frugal number, since it uses more digits than its factorization.

21474836480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 47.

The spelling of 21474836480 in words is "twenty-one billion, four hundred seventy-four million, eight hundred thirty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 4096 5120 8192 10240 16384 20480 32768 40960 65536 81920 131072 163840 262144 327680 524288 655360 1048576 1310720 2097152 2621440 4194304 5242880 8388608 10485760 16777216 20971520 33554432 41943040 67108864 83886080 134217728 167772160 268435456 335544320 536870912 671088640 1073741824 1342177280 2147483648 2684354560 4294967296 5368709120 10737418240 21474836480