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71622540020 = 2254194192821
BaseRepresentation
bin100001010110100001…
…0010011101011110100
320211212111110000100102
41002231002103223310
52133140332240040
652523011333232
75113605355013
oct1025502235364
9224774400312
1071622540020
1128414069439
1211a6a2b1218
1369a56429c5
1436762d6a7a
151ce2cb3515
hex10ad093af4

71622540020 has 48 divisors (see below), whose sum is σ = 154241203536. Its totient is φ = 27920256000.

The previous prime is 71622540001. The next prime is 71622540029. The reversal of 71622540020 is 2004522617.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4435826404 + 67186713616 = 66602^2 + 259204^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71622540029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 725210 + ... + 818030.

It is an arithmetic number, because the mean of its divisors is an integer number (3213358407).

Almost surely, 271622540020 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 71622540020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77120601768).

71622540020 is an abundant number, since it is smaller than the sum of its proper divisors (82618663516).

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

71622540020 is a wasteful number, since it uses less digits than its factorization.

71622540020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93812 (or 93810 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The spelling of 71622540020 in words is "seventy-one billion, six hundred twenty-two million, five hundred forty thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 941 1882 3764 4705 9410 18820 38581 77162 92821 154324 185642 192905 371284 385810 464105 771620 928210 1856420 3805661 7611322 15222644 19028305 38056610 76113220 87344561 174689122 349378244 436722805 873445610 1746891220 3581127001 7162254002 14324508004 17905635005 35811270010 71622540020