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630148081664000 = 21453307689493
BaseRepresentation
bin1000111101000111011100100…
…0100100000100000000000000
310001122011120100021100212210102
42033101313020210010000000
51130043321232401222000
610112114010551421532
7246505460621222324
oct21721671044040000
93048146307325712
10630148081664000
1117286a334199999
125a812b056848a8
132107c92ac44863
14b1874892cb984
154ccb8e74453d5
hex23d1dc8904000

630148081664000 has 120 divisors (see below), whose sum is σ = 1572801617384088. Its totient is φ = 252059231846400.

The previous prime is 630148081663987. The next prime is 630148081664009. The reversal of 630148081664000 is 466180841036.

It can be written as a sum of positive squares in 4 ways, for example, as 1311812878336 + 628836268785664 = 1145344^2 + 25076608^2 .

It is not an unprimeable number, because it can be changed into a prime (630148081664009) 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, 151796747 + ... + 155892746.

Almost surely, 2630148081664000 is an apocalyptic number.

It is an amenable number.

630148081664000 is an abundant number, since it is smaller than the sum of its proper divisors (942653535720088).

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

630148081664000 is an frugal number, since it uses more digits than its factorization.

630148081664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307689536 (or 307689500 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 47.

The spelling of 630148081664000 in words is "six hundred thirty trillion, one hundred forty-eight billion, eighty-one million, six hundred sixty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 640 800 1000 1024 1280 1600 2000 2048 2560 3200 4000 4096 5120 6400 8000 8192 10240 12800 16000 16384 20480 25600 32000 40960 51200 64000 81920 102400 128000 204800 256000 409600 512000 1024000 2048000 307689493 615378986 1230757972 1538447465 2461515944 3076894930 4923031888 6153789860 7692237325 9846063776 12307579720 15384474650 19692127552 24615159440 30768949300 38461186625 39384255104 49230318880 61537898600 76922373250 78768510208 98460637760 123075797200 153844746500 157537020416 196921275520 246151594400 307689493000 315074040832 393842551040 492303188800 615378986000 630148081664 787685102080 984606377600 1230757972000 1260296163328 1575370204160 1969212755200 2461515944000 2520592326656 3150740408320 3938425510400 4923031888000 5041184653312 6301480816640 7876851020800 9846063776000 12602961633280 15753702041600 19692127552000 25205923266560 31507404083200 39384255104000 63014808166400 78768510208000 126029616332800 157537020416000 315074040832000 630148081664000