Search a number
-
+
72221437280 = 2551735973961
BaseRepresentation
bin100001101000010111…
…0111010110101100000
320220102020101010221102
41003100232322311200
52140402141443110
653102244013532
75134500042116
oct1032056726540
9226366333842
1072221437280
11286a1133853
1211bb69912a8
136a6c743695
1436d1a73ab6
151d2a6645a5
hex10d0bbad60

72221437280 has 96 divisors (see below), whose sum is σ = 181165481280. Its totient is φ = 27113144320.

The previous prime is 72221437259. The next prime is 72221437289. The reversal of 72221437280 is 8273412227.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72221437289) 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, 939500 + ... + 1013460.

It is an arithmetic number, because the mean of its divisors is an integer number (1887140430).

Almost surely, 272221437280 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 72221437280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90582740640).

72221437280 is an abundant number, since it is smaller than the sum of its proper divisors (108944044000).

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

72221437280 is a wasteful number, since it uses less digits than its factorization.

72221437280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74352 (or 74344 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 38.

The spelling of 72221437280 in words is "seventy-two billion, two hundred twenty-one million, four hundred thirty-seven thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 359 544 680 718 1360 1436 1795 2720 2872 3590 5744 6103 7180 11488 12206 14360 24412 28720 30515 48824 57440 61030 73961 97648 122060 147922 195296 244120 295844 369805 488240 591688 739610 976480 1183376 1257337 1479220 2366752 2514674 2958440 5029348 5916880 6286685 10058696 11833760 12573370 20117392 25146740 26551999 40234784 50293480 53103998 100586960 106207996 132759995 201173920 212415992 265519990 424831984 451383983 531039980 849663968 902767966 1062079960 1805535932 2124159920 2256919915 3611071864 4248319840 4513839830 7222143728 9027679660 14444287456 18055359320 36110718640 72221437280