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61356340272 = 243103101312251
BaseRepresentation
bin111001001001000111…
…110111010000110000
312212101000210000211010
4321021013313100300
52001124210342042
644104155150520
74301316200343
oct711107672060
9185330700733
1061356340272
1124026066637
12ba84145440
135a2a7603b6
142d80a7c45a
1518e187159c
hexe491f7430

61356340272 has 80 divisors (see below), whose sum is σ = 160213817088. Its totient is φ = 20231904000.

The previous prime is 61356340249. The next prime is 61356340277. The reversal of 61356340272 is 27204365316.

It is a self number, because there is not a number n which added to its sum of digits gives 61356340272.

It is not an unprimeable number, because it can be changed into a prime (61356340277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5002147 + ... + 5014397.

Almost surely, 261356340272 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 61356340272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80106908544).

61356340272 is an abundant number, since it is smaller than the sum of its proper divisors (98857476816).

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

61356340272 is a wasteful number, since it uses less digits than its factorization.

61356340272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13378 (or 13372 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

The spelling of 61356340272 in words is "sixty-one billion, three hundred fifty-six million, three hundred forty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 103 206 309 412 618 824 1013 1236 1648 2026 2472 3039 4052 4944 6078 8104 12156 12251 16208 24312 24502 36753 48624 49004 73506 98008 104339 147012 196016 208678 294024 313017 417356 588048 626034 834712 1252068 1261853 1669424 2504136 2523706 3785559 5008272 5047412 7571118 10094824 12410263 15142236 20189648 24820526 30284472 37230789 49641052 60568944 74461578 99282104 148923156 198564208 297846312 595692624 1278257089 2556514178 3834771267 5113028356 7669542534 10226056712 15339085068 20452113424 30678170136 61356340272