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61232023216 = 24713219170263
BaseRepresentation
bin111001000001101101…
…101000011010110000
312212001100212001212201
4321001231220122300
52000400344220331
644043554432544
74265246416060
oct710155503260
9185040761781
1061232023216
1123a71976371
12ba4a592754
135a0aa84500
142d6c35b3a0
1518d59b6a61
hexe41b686b0

61232023216 has 120 divisors (see below), whose sum is σ = 154545227520. Its totient is φ = 22948593408.

The previous prime is 61232023211. The next prime is 61232023231.

61232023216 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (61232023211) 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, 274501 + ... + 444763.

It is an arithmetic number, because the mean of its divisors is an integer number (1287876896).

Almost surely, 261232023216 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 61232023216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77272613760).

61232023216 is an abundant number, since it is smaller than the sum of its proper divisors (93313204304).

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

61232023216 is a wasteful number, since it uses less digits than its factorization.

61232023216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170323 (or 170304 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

It can be divided in two parts, 612320 and 23216, that added together give a palindrome (635536).

The spelling of 61232023216 in words is "sixty-one billion, two hundred thirty-two million, twenty-three thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 38 52 56 76 91 104 112 133 152 169 182 208 247 266 304 338 364 494 532 676 728 988 1064 1183 1352 1456 1729 1976 2128 2366 2704 3211 3458 3952 4732 6422 6916 9464 12844 13832 18928 22477 25688 27664 44954 51376 89908 170263 179816 340526 359632 681052 1191841 1362104 2213419 2383682 2724208 3234997 4426838 4767364 6469994 8853676 9534728 12939988 15493933 17707352 19069456 22644979 25879976 28774447 30987866 35414704 42054961 45289958 51759952 57548894 61975732 84109922 90579916 115097788 123951464 168219844 181159832 201421129 230195576 247902928 294384727 336439688 362319664 402842258 460391152 546714493 588769454 672879376 805684516 1093428986 1177538908 1611369032 2186857972 2355077816 3222738064 3827001451 4373715944 4710155632 7654002902 8747431888 15308005804 30616011608 61232023216