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129625903341 = 331137151191409
BaseRepresentation
bin111100010111001001…
…1100101000011101101
3110101120212000011111000
41320232103211003231
54110433212401331
6135314352550513
712236151666354
oct1705623450355
9411525004430
10129625903341
114aa79496840
1221157552439
13c2ba53266c
1463b992899b
15358a0ba0e6
hex1e2e4e50ed

129625903341 has 128 divisors (see below), whose sum is σ = 218249625600. Its totient is φ = 75349440000.

The previous prime is 129625903271. The next prime is 129625903369. The reversal of 129625903341 is 143309526921.

129625903341 is a `hidden beast` number, since 1 + 29 + 6 + 2 + 590 + 3 + 34 + 1 = 666.

It is not a de Polignac number, because 129625903341 - 213 = 129625895149 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129625903541) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 316933545 + ... + 316933953.

It is an arithmetic number, because the mean of its divisors is an integer number (1705075200).

Almost surely, 2129625903341 is an apocalyptic number.

129625903341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

129625903341 is a deficient number, since it is larger than the sum of its proper divisors (88623722259).

129625903341 is a wasteful number, since it uses less digits than its factorization.

129625903341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 129625903341 in words is "one hundred twenty-nine billion, six hundred twenty-five million, nine hundred three thousand, three hundred forty-one".

Divisors: 1 3 9 11 27 33 37 99 111 151 191 297 333 407 409 453 573 999 1221 1227 1359 1661 1719 2101 3663 3681 4077 4499 4983 5157 5587 6303 7067 10989 11043 13497 14949 15133 16761 18909 21201 28841 40491 44847 45399 50283 56727 61457 61759 63603 77737 78119 86523 121473 136197 150849 166463 184371 185277 190809 233211 234357 259569 317251 408591 499389 553113 555831 679349 699633 703071 778707 859309 951753 1067117 1498167 1659339 1667493 2038047 2098899 2109213 2285083 2577927 2855259 2890403 3201351 4494501 6114141 6855249 7733781 8565777 8671209 9604053 11738287 11795969 18342423 20565747 23201343 25135913 26013627 28812159 31794433 35214861 35387907 61697241 75407739 78040881 95383299 105644583 106163721 129755659 226223217 286149897 316933749 318491163 389266977 436450853 678669651 858449691 1167800931 1309352559 3503402793 3928057677 4800959383 11784173031 14402878149 43208634447 129625903341