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488840671744 = 291761920701
BaseRepresentation
bin1110001110100010010…
…11001011001000000000
31201201210010222002201121
413013101023023020000
531002121202443434
61012323104042024
750213633102545
oct7072113131000
91651703862647
10488840671744
111793528a6a67
127a8a7903314
1337136209669
141993511abcc
15cab10c07b4
hex71d12cb200

488840671744 has 80 divisors (see below), whose sum is σ = 1051136010936. Its totient is φ = 226271232000.

The previous prime is 488840671729. The next prime is 488840671747. The reversal of 488840671744 is 447176048884.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 374250297600 + 114590374144 = 611760^2 + 338512^2 .

It is a super-2 number, since 2×4888406717442 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is not an unprimeable number, because it can be changed into a prime (488840671747) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70594 + ... + 991294.

Almost surely, 2488840671744 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 488840671744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525568005468).

488840671744 is an abundant number, since it is smaller than the sum of its proper divisors (562295339192).

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

488840671744 is an equidigital number, since it uses as much as digits as its factorization.

488840671744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920797 (or 920781 counting only the distinct ones).

The product of its (nonzero) digits is 38535168, while the sum is 61.

The spelling of 488840671744 in words is "four hundred eighty-eight billion, eight hundred forty million, six hundred seventy-one thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 61 64 68 122 128 136 244 256 272 488 512 544 976 1037 1088 1952 2074 2176 3904 4148 4352 7808 8296 8704 15616 16592 31232 33184 66368 132736 265472 530944 920701 1841402 3682804 7365608 14731216 15651917 29462432 31303834 56162761 58924864 62607668 112325522 117849728 125215336 224651044 235699456 250430672 449302088 471398912 500861344 898604176 954766937 1001722688 1797208352 1909533874 2003445376 3594416704 3819067748 4006890752 7188833408 7638135496 8013781504 14377666816 15276270992 28755333632 30552541984 61105083968 122210167936 244420335872 488840671744