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72103546772852 = 22726111515239567
BaseRepresentation
bin10000011001001111101010…
…010010101101110101110100
3100110022000212010222200200212
4100121033222102231311310
533422321030433212402
6413203525003124552
721121211051133200
oct2031175222556564
9313260763880625
1072103546772852
1120a79a40465a41
128106197b13758
13313044881266a
1413b3b8a42bb00
158508a32a8952
hex4193ea4add74

72103546772852 has 72 divisors (see below), whose sum is σ = 149318131027968. Its totient is φ = 30368524536000.

The previous prime is 72103546772833. The next prime is 72103546772857. The reversal of 72103546772852 is 25827764530127.

It is a junction number, because it is equal to n+sod(n) for n = 72103546772791 and 72103546772800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72103546772857) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11141573 + ... + 16381139.

It is an arithmetic number, because the mean of its divisors is an integer number (2073862930944).

Almost surely, 272103546772852 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 72103546772852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74659065513984).

72103546772852 is an abundant number, since it is smaller than the sum of its proper divisors (77214584255116).

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

72103546772852 is a wasteful number, since it uses less digits than its factorization.

72103546772852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5240797 (or 5240788 counting only the distinct ones).

The product of its (nonzero) digits is 39513600, while the sum is 59.

The spelling of 72103546772852 in words is "seventy-two trillion, one hundred three billion, five hundred forty-six million, seven hundred seventy-two thousand, eight hundred fifty-two".

Divisors: 1 2 4 7 14 28 49 61 98 122 196 244 427 854 1151 1708 2302 2989 4604 5978 8057 11956 16114 32228 56399 70211 112798 140422 225596 280844 491477 982954 1965908 3440339 5239567 6880678 10479134 13761356 20958268 36676969 73353938 146707876 256738783 319613587 513477566 639227174 1026955132 1278454348 2237295109 4474590218 6030741617 8949180436 12061483234 15661065763 24122966468 31322131526 42215191319 62644263052 84430382638 168860765276 295506339233 367875238637 591012678466 735750477274 1182025356932 1471500954548 2575126670459 5150253340918 10300506681836 18025886693213 36051773386426 72103546772852