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484275267120 = 24352467781769
BaseRepresentation
bin1110000110000010000…
…11100010011000110000
31201021222222100111221110
413003001003202120300
530413243432021440
61010250055353320
746662535565151
oct7030103423060
91637888314843
10484275267120
1117741a843997
1279a32982840
1336889412bc8
1419620a67928
15c8e53b3080
hex70c10e2630

484275267120 has 80 divisors (see below), whose sum is σ = 1501332524640. Its totient is φ = 129133258752.

The previous prime is 484275267103. The next prime is 484275267127. The reversal of 484275267120 is 21762572484.

It is a tau number, because it is divible by the number of its divisors (80).

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 484275267120.

It is not an unprimeable number, because it can be changed into a prime (484275267127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5881596 + ... + 5963364.

It is an arithmetic number, because the mean of its divisors is an integer number (18766656558).

Almost surely, 2484275267120 is an apocalyptic number.

484275267120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

484275267120 is an abundant number, since it is smaller than the sum of its proper divisors (1017057257520).

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

484275267120 is a wasteful number, since it uses less digits than its factorization.

484275267120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106462 (or 106456 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 48.

The spelling of 484275267120 in words is "four hundred eighty-four billion, two hundred seventy-five million, two hundred sixty-seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 24677 49354 74031 81769 98708 123385 148062 163538 197416 245307 246770 296124 327076 370155 394832 408845 490614 493540 592248 654152 740310 817690 981228 987080 1184496 1226535 1308304 1480620 1635380 1962456 1974160 2453070 2961240 3270760 3924912 4906140 5922480 6541520 9812280 19624560 2017813613 4035627226 6053440839 8071254452 10089068065 12106881678 16142508904 20178136130 24213763356 30267204195 32285017808 40356272260 48427526712 60534408390 80712544520 96855053424 121068816780 161425089040 242137633560 484275267120