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61065270304 = 25291812111723
BaseRepresentation
bin111000110111110001…
…100001010000100000
312211121202002010212221
4320313301201100200
52000030202122204
644015240400424
74261153143013
oct706761412040
9184552063787
1061065270304
1123996831445
12ba02776114
1359b236b14c
142d5415137a
1518c6028654
hexe37c61420

61065270304 has 96 divisors (see below), whose sum is σ = 125720562240. Its totient is φ = 29161036800.

The previous prime is 61065270247. The next prime is 61065270311. The reversal of 61065270304 is 40307256016.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 61065270304.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35440387 + ... + 35442109.

It is an arithmetic number, because the mean of its divisors is an integer number (1309589190).

Almost surely, 261065270304 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 61065270304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62860281120).

61065270304 is an abundant number, since it is smaller than the sum of its proper divisors (64655291936).

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

61065270304 is a wasteful number, since it uses less digits than its factorization.

61065270304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2154 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The spelling of 61065270304 in words is "sixty-one billion, sixty-five million, two hundred seventy thousand, three hundred four".

Divisors: 1 2 4 8 16 29 32 58 116 181 211 232 362 422 464 724 844 928 1448 1688 1723 2896 3376 3446 5249 5792 6119 6752 6892 10498 12238 13784 20996 24476 27568 38191 41992 48952 49967 55136 76382 83984 97904 99934 152764 167968 195808 199868 305528 311863 363553 399736 611056 623726 727106 799472 1107539 1222112 1247452 1454212 1598944 2215078 2494904 2908424 4430156 4989808 5816848 8860312 9044027 9979616 10543037 11633696 17720624 18088054 21086074 35441248 36176108 42172148 65803093 72352216 84344296 131606186 144704432 168688592 263212372 289408864 337377184 526424744 1052849488 1908289697 2105698976 3816579394 7633158788 15266317576 30532635152 61065270304