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5014005335325 = 32527109114512011
BaseRepresentation
bin100100011110110101000…
…0000011100010100011101
3122202100000122121212200100
41020331222000130110131
51124122140331212300
614355222515251313
71025151504101430
oct110755200342435
918670018555610
105014005335325
11166347832a258
1268b8b82a9b39
132a4a8482072c
1413497184b817
158a65c05a700
hex48f6a01c51d

5014005335325 has 144 divisors (see below), whose sum is σ = 10285188705792. Its totient is φ = 2287299600000.

The previous prime is 5014005335291. The next prime is 5014005335347. The reversal of 5014005335325 is 5235335004105.

5014005335325 is a `hidden beast` number, since 50 + 1 + 4 + 0 + 0 + 533 + 53 + 25 = 666.

It is not a de Polignac number, because 5014005335325 - 28 = 5014005335069 is a prime.

It is a super-3 number, since 3×50140053353253 (a number of 39 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5014005335325.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2493288570 + ... + 2493290580.

It is an arithmetic number, because the mean of its divisors is an integer number (71424921568).

Almost surely, 25014005335325 is an apocalyptic number.

It is an amenable number.

5014005335325 is an abundant number, since it is smaller than the sum of its proper divisors (5271183370467).

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

5014005335325 is a wasteful number, since it uses less digits than its factorization.

5014005335325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4576 (or 4568 counting only the distinct ones).

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

The spelling of 5014005335325 in words is "five trillion, fourteen billion, five million, three hundred thirty-five thousand, three hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 175 225 315 525 1091 1451 1575 2011 3273 4353 5455 6033 7255 7637 9819 10055 10157 13059 14077 16365 18099 21765 22911 27275 30165 30471 36275 38185 42231 49095 50275 50785 65295 68733 70385 81825 90495 91413 108825 114555 126693 150825 152355 190925 211155 245475 253925 326475 343665 351925 452475 457065 572775 633465 761775 1055775 1583041 1718325 2194001 2285325 2917961 3167325 4749123 6582003 7915205 8753883 10970005 11081287 14247369 14589805 15358007 19746009 20425727 23745615 26261649 32910015 33243861 39576025 43769415 46074021 54850025 55406435 61277181 71236845 72949025 76790035 98730045 99731583 102128635 118728075 131308245 138222063 164550075 166219305 183831543 218847075 230370105 277032175 306385905 356184225 383950175 493650225 498657915 510643175 656541225 691110315 831096525 919157715 1151850525 1531929525 2493289575 3183495451 3455551575 4595788575 9550486353 15917477255 22284468157 28651459059 47752431765 66853404471 79587386275 111422340785 143257295295 200560213413 238762158825 334267022355 557111703925 716286476475 1002801067065 1671335111775 5014005335325