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133355450025 = 32527715572141
BaseRepresentation
bin111110000110010011…
…0101010111010101001
3110202012202210202201200
41330030212222322221
54141102443400100
6141132422034413
712430446423330
oct1741446527251
9422182722650
10133355450025
1151612747426
1221a18578a09
13c7630ccb15
146650d9ad17
15370771ae00
hex1f0c9aaea9

133355450025 has 144 divisors (see below), whose sum is σ = 277447742208. Its totient is φ = 59967936000.

The previous prime is 133355449999. The next prime is 133355450057. The reversal of 133355450025 is 520054553331.

133355450025 is a `hidden beast` number, since 1 + 3 + 33 + 554 + 50 + 0 + 25 = 666.

It is not a de Polignac number, because 133355450025 - 28 = 133355449769 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 62285455 + ... + 62287595.

It is an arithmetic number, because the mean of its divisors is an integer number (1926720432).

Almost surely, 2133355450025 is an apocalyptic number.

133355450025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

133355450025 is an abundant number, since it is smaller than the sum of its proper divisors (144092292183).

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

133355450025 is a wasteful number, since it uses less digits than its factorization.

133355450025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2792 (or 2784 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 36.

The spelling of 133355450025 in words is "one hundred thirty-three billion, three hundred fifty-five million, four hundred fifty thousand, twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 71 75 105 175 213 225 315 355 497 525 557 639 1065 1491 1575 1671 1775 2141 2485 2785 3195 3899 4473 5013 5325 6423 7455 8355 10705 11697 12425 13925 14987 15975 19269 19495 22365 25065 32115 35091 37275 39547 41775 44961 53525 58485 74935 96345 97475 111825 118641 125325 134883 152011 160575 175455 197735 224805 276829 292425 355923 374675 456033 481725 593205 674415 760055 830487 877275 988675 1064077 1124025 1192537 1368099 1384145 1779615 2280165 2491461 2966025 3192231 3372075 3577611 3800275 4152435 5320385 5962685 6840495 6920725 8347759 8898075 9576693 10732833 11400825 12457305 15961155 17888055 20762175 25043277 26601925 29813425 34202475 41738795 47883465 53664165 62286525 75129831 79805775 84670127 89440275 125216385 208693975 239417325 254010381 268320825 375649155 423350635 592690889 626081925 762031143 1270051905 1778072667 1878245775 2116753175 2963454445 3810155715 5334218001 6350259525 8890363335 14817272225 19050778575 26671090005 44451816675 133355450025