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152305512068070 = 233517191746422567
BaseRepresentation
bin100010101000010101100011…
…111100011011001111100110
3201222021021011000011202001000
4202220111203330123033212
5124430333142042134240
61255532104125014130
744036465400040314
oct4250254374331746
9658237130152030
10152305512068070
114459044aa696a9
12150b99b39b4346
1366ca46aba980a
1429878aa0c70b4
151291c38971430
hex8a8563f1b3e6

152305512068070 has 128 divisors (see below), whose sum is σ = 452672729625600. Its totient is φ = 36213818328576.

The previous prime is 152305512068063. The next prime is 152305512068071. The reversal of 152305512068070 is 70860215503251.

152305512068070 is a `hidden beast` number, since 1 + 5 + 2 + 3 + 0 + 5 + 512 + 0 + 68 + 0 + 70 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152305512068071) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 873124074 + ... + 873298493.

It is an arithmetic number, because the mean of its divisors is an integer number (3536505700200).

Almost surely, 2152305512068070 is an apocalyptic number.

152305512068070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

152305512068070 is an abundant number, since it is smaller than the sum of its proper divisors (300367217557530).

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

152305512068070 is a wasteful number, since it uses less digits than its factorization.

152305512068070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1746422619 (or 1746422613 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 152305512068070 in words is "one hundred fifty-two trillion, three hundred five billion, five hundred twelve million, sixty-eight thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 17 18 19 27 30 34 38 45 51 54 57 85 90 95 102 114 135 153 170 171 190 255 270 285 306 323 342 459 510 513 570 646 765 855 918 969 1026 1530 1615 1710 1938 2295 2565 2907 3230 4590 4845 5130 5814 8721 9690 14535 17442 29070 43605 87210 1746422567 3492845134 5239267701 8732112835 10478535402 15717803103 17464225670 26196338505 29689183639 31435606206 33182028773 47153409309 52392677010 59378367278 66364057546 78589015515 89067550917 94306818618 99546086319 148445918195 157178031030 165910143865 178135101834 199092172638 235767046545 267202652751 296891836390 298638258957 331820287730 445337754585 471534093090 497730431595 534405305502 564094489141 597276517914 801607958253 890675509170 895914776871 995460863190 1128188978282 1336013263755 1493191294785 1603215916506 1692283467423 1791829553742 2672026527510 2820472445705 2986382589570 3384566934846 4008039791265 4479573884355 5076850402269 5640944891410 8016079582530 8461417337115 8959147768710 10153700804538 15230551206807 16922834674230 25384252011345 30461102413614 50768504022690 76152756034035 152305512068070