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641799972 = 2232112251587
BaseRepresentation
bin100110010000010…
…001011100100100
31122201122211001100
4212100101130210
52303300044342
6143404000100
721622131642
oct4620213444
91581584040
10641799972
112aa308900
1215ab30030
13a2c727c8
1461348192
153b527e4c
hex26411724

641799972 has 108 divisors (see below), whose sum is σ = 1793374128. Its totient is φ = 193380000.

The previous prime is 641799959. The next prime is 641799979. The reversal of 641799972 is 279997146.

It is not an unprimeable number, because it can be changed into a prime (641799979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1093063 + ... + 1093649.

It is an arithmetic number, because the mean of its divisors is an integer number (16605316).

Almost surely, 2641799972 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 641799972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896687064).

641799972 is an abundant number, since it is smaller than the sum of its proper divisors (1151574156).

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

641799972 is a wasteful number, since it uses less digits than its factorization.

641799972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 854 counting only the distinct ones).

The product of its digits is 1714608, while the sum is 54.

The square root of 641799972 is about 25333.7713734059. The cubic root of 641799972 is about 862.5810202403.

The spelling of 641799972 in words is "six hundred forty-one million, seven hundred ninety-nine thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 251 363 396 484 502 587 726 753 1004 1089 1174 1452 1506 1761 2178 2259 2348 2761 3012 3522 4356 4518 5283 5522 6457 7044 8283 9036 10566 11044 12914 16566 19371 21132 24849 25828 30371 33132 38742 49698 58113 60742 71027 77484 91113 99396 116226 121484 142054 147337 182226 213081 232452 273339 284108 294674 364452 426162 442011 546678 589348 639243 852324 884022 1093356 1278486 1326033 1620707 1768044 2556972 2652066 3241414 4862121 5304132 6482828 9724242 14586363 17827777 19448484 29172726 35655554 53483331 58345452 71311108 106966662 160449993 213933324 320899986 641799972