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641525430740608 = 2731235914527339
BaseRepresentation
bin1001000111011101101100011…
…1011010011110011010000000
310010010110020021021212210121001
42101313123013122132122000
51133041223040232144413
610152224414143341344
7252061453134560311
oct22167330732363200
93103406237783531
10641525430740608
111764564531351a7
125bb4bb148b1854
13216c678603989b
14b45bdd4644608
154e27836b8d4dd
hex24776c769e680

641525430740608 has 96 divisors (see below), whose sum is σ = 1324274543316000. Its totient is φ = 309550842478080.

The previous prime is 641525430740561. The next prime is 641525430740629. The reversal of 641525430740608 is 806047034525146.

641525430740608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36896203 + ... + 51423541.

It is an arithmetic number, because the mean of its divisors is an integer number (13794526492875).

Almost surely, 2641525430740608 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 641525430740608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662137271658000).

641525430740608 is an abundant number, since it is smaller than the sum of its proper divisors (682749112575392).

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

641525430740608 is a wasteful number, since it uses less digits than its factorization.

641525430740608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14527774 (or 14527731 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 55.

The spelling of 641525430740608 in words is "six hundred forty-one trillion, five hundred twenty-five billion, four hundred thirty million, seven hundred forty thousand, six hundred eight".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 359 496 718 961 992 1436 1922 1984 2872 3844 3968 5744 7688 11129 11488 15376 22258 22976 30752 44516 45952 61504 89032 123008 178064 344999 356128 689998 712256 1379996 1424512 2759992 5519984 11039968 14527339 22079936 29054678 44159872 58109356 116218712 232437424 450347509 464874848 900695018 929749696 1801390036 1859499392 3602780072 5215314701 7205560144 10430629402 13960772779 14411120288 20861258804 27921545558 28822240576 41722517608 55843091116 57644481152 83445035216 111686182232 161674755731 166890070432 223372364464 323349511462 333780140864 446744728928 646699022924 667560281728 893489457856 1293398045848 1786978915712 2586796091696 5011917427661 5173592183392 10023834855322 10347184366784 20047669710644 20694368733568 40095339421288 80190678842576 160381357685152 320762715370304 641525430740608