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72388796144 = 2474731194409
BaseRepresentation
bin100001101101010110…
…1010101111011110000
320220211220021212010212
41003122231111323300
52141223012434034
653131023043252
75141601420620
oct1033255257360
9226756255125
1072388796144
1128777651a65
1212042a40528
136a9830c7b2
143709d9a880
151d3a1c22ce
hex10dab55ef0

72388796144 has 80 divisors (see below), whose sum is σ = 163789516800. Its totient is φ = 30347069952.

The previous prime is 72388796063. The next prime is 72388796147. The reversal of 72388796144 is 44169788327.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72388796147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16416212 + ... + 16420620.

It is an arithmetic number, because the mean of its divisors is an integer number (2047368960).

Almost surely, 272388796144 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 72388796144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81894758400).

72388796144 is an abundant number, since it is smaller than the sum of its proper divisors (91400720656).

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

72388796144 is a wasteful number, since it uses less digits than its factorization.

72388796144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7590 (or 7584 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 59.

The spelling of 72388796144 in words is "seventy-two billion, three hundred eighty-eight million, seven hundred ninety-six thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 47 56 94 112 188 329 376 658 752 1316 2632 3119 4409 5264 6238 8818 12476 17636 21833 24952 30863 35272 43666 49904 61726 70544 87332 123452 146593 174664 207223 246904 293186 349328 414446 493808 586372 828892 1026151 1172744 1450561 1657784 2052302 2345488 2901122 3315568 4104604 5802244 8209208 11604488 13751671 16418416 23208976 27503342 55006684 96261697 110013368 192523394 220026736 385046788 646328537 770093576 1292657074 1540187152 2585314148 4524299759 5170628296 9048599518 10341256592 18097199036 36194398072 72388796144