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630577503840 = 25351313703133
BaseRepresentation
bin10010010110100010101…
…10010001111001100000
32020021122000211012012110
421023101112101321200
540312410320110330
61201403332155320
763362204226354
oct11132126217140
92207560735173
10630577503840
1122347661a829
12a2263168b40
134760387284b
142273d29b464
151160951ddb0
hex92d1591e60

630577503840 has 48 divisors (see below), whose sum is σ = 1986319138608. Its totient is φ = 168154000896.

The previous prime is 630577503779. The next prime is 630577503847. The reversal of 630577503840 is 48305775036.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a self number, because there is not a number n which added to its sum of digits gives 630577503840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (630577503847) by changing a digit.

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, 656851087 + ... + 656852046.

It is an arithmetic number, because the mean of its divisors is an integer number (41381648721).

Almost surely, 2630577503840 is an apocalyptic number.

630577503840 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

630577503840 is an abundant number, since it is smaller than the sum of its proper divisors (1355741634768).

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

630577503840 is a wasteful number, since it uses less digits than its factorization.

630577503840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313703151 (or 1313703143 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 48.

The spelling of 630577503840 in words is "six hundred thirty billion, five hundred seventy-seven million, five hundred three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1313703133 2627406266 3941109399 5254812532 6568515665 7882218798 10509625064 13137031330 15764437596 19705546995 21019250128 26274062660 31528875192 39411093990 42038500256 52548125320 63057750384 78822187980 105096250640 126115500768 157644375960 210192501280 315288751920 630577503840