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5061857664 = 273232919763
BaseRepresentation
bin1001011011011010…
…11101000110000000
3111001202210000022210
410231231131012000
540331313421124
62154141102120
7236303036343
oct45555350600
914052700283
105061857664
112168317646
12b93257940
13628909266
143603a445a
151e95c4a29
hex12db5d180

5061857664 has 128 divisors (see below), whose sum is σ = 14514681600. Its totient is φ = 1558194176.

The previous prime is 5061857657. The next prime is 5061857681. The reversal of 5061857664 is 4667581605.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 246247 + ... + 266009.

It is an arithmetic number, because the mean of its divisors is an integer number (113395950).

Almost surely, 25061857664 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 5061857664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7257340800).

5061857664 is an abundant number, since it is smaller than the sum of its proper divisors (9452823936).

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

5061857664 is a wasteful number, since it uses less digits than its factorization.

5061857664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19832 (or 19820 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The square root of 5061857664 is about 71146.7333333021. The cubic root of 5061857664 is about 1716.9987394085.

The spelling of 5061857664 in words is "five billion, sixty-one million, eight hundred fifty-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 29 32 46 48 58 64 69 87 92 96 116 128 138 174 184 192 232 276 348 368 384 464 552 667 696 736 928 1104 1334 1392 1472 1856 2001 2208 2668 2784 2944 3712 4002 4416 5336 5568 8004 8832 10672 11136 16008 19763 21344 32016 39526 42688 59289 64032 79052 85376 118578 128064 158104 237156 256128 316208 454549 474312 573127 632416 909098 948624 1146254 1264832 1363647 1719381 1818196 1897248 2292508 2529664 2727294 3438762 3636392 3794496 4585016 5454588 6877524 7272784 7588992 9170032 10909176 13181921 13755048 14545568 18340064 21818352 26363842 27510096 29091136 36680128 39545763 43636704 52727684 55020192 58182272 73360256 79091526 87273408 105455368 110040384 158183052 174546816 210910736 220080768 316366104 421821472 632732208 843642944 1265464416 1687285888 2530928832 5061857664