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85175885233145 = 5731771912833167
BaseRepresentation
bin10011010111011110001110…
…011000011111101111111001
3102011120201211220001202022102
4103113132032120133233321
542131010203104430040
6501053132252033145
723640516560522000
oct2327361630375771
9364521756052272
1085175885233145
1125159987757613
1296777a77627b5
13386b089235325
14170676b869c37
159ca9484bd515
hex4d778e61fbf9

85175885233145 has 128 divisors (see below), whose sum is σ = 126522114048000. Its totient is φ = 54834095533056.

The previous prime is 85175885233133. The next prime is 85175885233157. The reversal of 85175885233145 is 54133258857158.

It is an interprime number because it is at equal distance from previous prime (85175885233133) and next prime (85175885233157).

It is not a de Polignac number, because 85175885233145 - 214 = 85175885216761 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26894815352 + ... + 26894818518.

It is an arithmetic number, because the mean of its divisors is an integer number (988454016000).

Almost surely, 285175885233145 is an apocalyptic number.

85175885233145 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

85175885233145 is a deficient number, since it is larger than the sum of its proper divisors (41346228814855).

85175885233145 is a wasteful number, since it uses less digits than its factorization.

85175885233145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5212 (or 5198 counting only the distinct ones).

The product of its digits is 161280000, while the sum is 65.

The spelling of 85175885233145 in words is "eighty-five trillion, one hundred seventy-five billion, eight hundred eighty-five million, two hundred thirty-three thousand, one hundred forty-five".

Divisors: 1 5 7 17 35 49 85 119 245 343 595 719 833 1283 1715 3167 3595 4165 5033 5831 6415 8981 12223 15835 21811 22169 25165 29155 35231 44905 53839 61115 62867 85561 109055 110845 152677 155183 176155 246617 269195 314335 376873 427805 440069 598927 763385 775915 922477 1068739 1086281 1233085 1884365 2200345 2277073 2638111 2994635 4063261 4192489 4612385 5343695 5431405 6457339 7481173 11385365 13190555 15682109 15939511 18466777 20316305 20962445 28442827 32286695 37405865 38710241 45201373 69075437 78410545 79697555 92333885 109774763 111576577 142214135 193551205 199099789 226006865 270971687 316409611 345377185 483528059 548873815 557882885 768423341 781036039 995498945 1354858435 1393698523 1582048055 1896801809 2417640295 2921484659 3384696413 3842116705 3905180195 5378963387 6968492615 9484009045 13277612663 14607423295 16923482065 20450392613 23692874891 26894816935 49665239203 66388063315 102251963065 118464374455 143152748291 248326196015 347656674421 715763741455 1002069238037 1738283372105 2433596720947 5010346190185 12167983604735 17035177046629 85175885233145