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61925178072 = 23329219116063
BaseRepresentation
bin111001101011000001…
…110011101011011000
312220211200010222120210
4321223001303223120
52003310321144242
644240435251120
74321364220522
oct715301635330
9186750128523
1061925178072
112429816a91a
1210002749aa0
135abb568004
142dd6432a12
151926785d9c
hexe6b073ad8

61925178072 has 96 divisors (see below), whose sum is σ = 161184890880. Its totient is φ = 19824362880.

The previous prime is 61925178071. The next prime is 61925178083. The reversal of 61925178072 is 27087152916.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61925178071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3847113 + ... + 3863175.

It is an arithmetic number, because the mean of its divisors is an integer number (1679009280).

Almost surely, 261925178072 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 61925178072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80592445440).

61925178072 is an abundant number, since it is smaller than the sum of its proper divisors (99259712808).

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

61925178072 is a wasteful number, since it uses less digits than its factorization.

61925178072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16321 (or 16288 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 48.

The spelling of 61925178072 in words is "sixty-one billion, nine hundred twenty-five million, one hundred seventy-eight thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 191 232 348 382 573 696 764 841 1146 1528 1682 2292 2523 3364 4584 5046 5539 6728 10092 11078 16063 16617 20184 22156 32126 33234 44312 48189 64252 66468 96378 128504 132936 160631 192756 321262 385512 465827 481893 642524 931654 963786 1285048 1397481 1863308 1927572 2794962 3068033 3726616 3855144 5589924 6136066 9204099 11179848 12272132 13508983 18408198 24544264 27017966 36816396 40526949 54035932 73632792 81053898 88972957 108071864 162107796 177945914 266918871 324215592 355891828 533837742 711783656 1067675484 2135350968 2580215753 5160431506 7740647259 10320863012 15481294518 20641726024 30962589036 61925178072