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138005120925 = 3452744321977
BaseRepresentation
bin1000000010000110111…
…1110000011110011101
3111012012210222112010000
42000201233300132131
54230113302332200
6143222040404513
712653616113220
oct2004157603635
9435183875100
10138005120925
1153589324a51
12228b5776739
13100244bb789
1469727075b7
1538caa21300
hex2021bf079d

138005120925 has 120 divisors (see below), whose sum is σ = 292825025856. Its totient is φ = 62942780160.

The previous prime is 138005120909. The next prime is 138005120933. The reversal of 138005120925 is 529021500831.

138005120925 is a `hidden beast` number, since 1 + 380 + 0 + 51 + 209 + 25 = 666.

It is not a de Polignac number, because 138005120925 - 24 = 138005120909 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 138005120925.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6268537 + ... + 6290513.

Almost surely, 2138005120925 is an apocalyptic number.

138005120925 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

138005120925 is an abundant number, since it is smaller than the sum of its proper divisors (154819904931).

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

138005120925 is a wasteful number, since it uses less digits than its factorization.

138005120925 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22449 (or 22435 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 138005120925 in words is "one hundred thirty-eight billion, five million, one hundred twenty thousand, nine hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 81 105 135 175 189 225 315 405 443 525 567 675 945 1329 1575 2025 2215 2835 3101 3987 4725 6645 9303 11075 11961 14175 15505 19935 21977 27909 33225 35883 46515 59805 65931 77525 83727 99675 109885 139545 153839 179415 197793 232575 251181 299025 329655 418635 461517 549425 593379 697725 769195 897075 988965 1255905 1384551 1648275 1780137 2093175 2307585 2966895 3845975 4153653 4944825 6279525 6922755 8900685 9735811 11537925 12460959 14834475 20768265 29207433 34613775 44503425 48679055 62304795 68150677 87622299 103841325 146037165 204452031 243395275 262866897 311523975 340753385 438111495 613356093 730185825 788600691 1022260155 1314334485 1703766925 1840068279 2190557475 3066780465 3943003455 5111300775 5520204837 6571672425 9200341395 15333902325 19715017275 27601024185 46001706975 138005120925