Search a number
-
+
61211536064 = 267178037229
BaseRepresentation
bin111001000000011111…
…011110101011000000
312211222221022012210022
4321000133132223000
52000330123123224
644041543353012
74264610320550
oct710037365300
9184887265708
1061211536064
1123a61353038
12ba43752768
135a06760433
142d69747160
1518d3cbb65e
hexe407deac0

61211536064 has 56 divisors (see below), whose sum is σ = 146984862240. Its totient is φ = 24690364416.

The previous prime is 61211536033. The next prime is 61211536103. The reversal of 61211536064 is 46063511216.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×612115360642 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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, 4010999 + ... + 4026230.

Almost surely, 261211536064 is an apocalyptic number.

61211536064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

61211536064 is an abundant number, since it is smaller than the sum of its proper divisors (85773326176).

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

61211536064 is a wasteful number, since it uses less digits than its factorization.

61211536064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8037265 (or 8037255 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The spelling of 61211536064 in words is "sixty-one billion, two hundred eleven million, five hundred thirty-six thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 224 238 272 448 476 544 952 1088 1904 3808 7616 8037229 16074458 32148916 56260603 64297832 112521206 128595664 136632893 225042412 257191328 273265786 450084824 514382656 546531572 900169648 956430251 1093063144 1800339296 1912860502 2186126288 3600678592 3825721004 4372252576 7651442008 8744505152 15302884016 30605768032 61211536064