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7211982648 = 23313181127709
BaseRepresentation
bin1101011011101111…
…00001111100111000
3200121121121200022110
412231313201330320
5104232231421043
63151345452320
7343501561323
oct65567417470
920547550273
107211982648
113070a81342
1214933410a0
138ac1c7370
144c5b7b7ba
152c323db33
hex1adde1f38

7211982648 has 64 divisors (see below), whose sum is σ = 19524304800. Its totient is φ = 2206794240.

The previous prime is 7211982637. The next prime is 7211982667. The reversal of 7211982648 is 8462891127.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 7211982597 and 7211982606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7383 + ... + 120326.

Almost surely, 27211982648 is an apocalyptic number.

7211982648 is a gapful number since it is divisible by the number (78) 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 7211982648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9762152400).

7211982648 is an abundant number, since it is smaller than the sum of its proper divisors (12312322152).

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

7211982648 is a wasteful number, since it uses less digits than its factorization.

7211982648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127912 (or 127908 counting only the distinct ones).

The product of its digits is 387072, while the sum is 48.

The square root of 7211982648 is about 84923.3928196466. The cubic root of 7211982648 is about 1932.0493902646.

The spelling of 7211982648 in words is "seven billion, two hundred eleven million, nine hundred eighty-two thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 181 312 362 543 724 1086 1448 2172 2353 4344 4706 7059 9412 14118 18824 28236 56472 127709 255418 383127 510836 766254 1021672 1532508 1660217 3065016 3320434 4980651 6640868 9961302 13281736 19922604 23115329 39845208 46230658 69345987 92461316 138691974 184922632 277383948 300499277 554767896 600998554 901497831 1201997108 1802995662 2403994216 3605991324 7211982648