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61356330816 = 2631129051293
BaseRepresentation
bin111001001001000111…
…110100111101000000
312212101000202112211220
4321021013310331000
52001124210041231
644104155035040
74301316130644
oct711107647500
9185330675756
1061356330816
112402605a520
12ba8413ba80
135a2a758cc1
142d80a78c24
1518e186d896
hexe491f4f40

61356330816 has 56 divisors (see below), whose sum is σ = 177096688224. Its totient is φ = 18592826880.

The previous prime is 61356330803. The next prime is 61356330817. The reversal of 61356330816 is 61803365316.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61356330817) 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 7 ways as a sum of consecutive naturals, for example, 14523535 + ... + 14527758.

Almost surely, 261356330816 is an apocalyptic number.

61356330816 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

61356330816 is an abundant number, since it is smaller than the sum of its proper divisors (115740357408).

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

61356330816 is a wasteful number, since it uses less digits than its factorization.

61356330816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29051319 (or 29051309 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 61356330816 in words is "sixty-one billion, three hundred fifty-six million, three hundred thirty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 29051293 58102586 87153879 116205172 174307758 232410344 319564223 348615516 464820688 639128446 697231032 929641376 958692669 1278256892 1394462064 1859282752 1917385338 2556513784 2788924128 3834770676 5113027568 5577848256 7669541352 10226055136 15339082704 20452110272 30678165408 61356330816