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152306642505 = 351723611972161
BaseRepresentation
bin1000110111011000101…
…1101110111001001001
3112120010111211002112110
42031312023232321021
54443411000030010
6153545123532533
714001205046343
oct2156613567111
9476114732473
10152306642505
1159658146876
122562722a149
131149340bb94
14752bc6c293
153e66364120
hex23762eee49

152306642505 has 128 divisors (see below), whose sum is σ = 275174102016. Its totient is φ = 71530905600.

The previous prime is 152306642497. The next prime is 152306642507. The reversal of 152306642505 is 505246603251.

It is not a de Polignac number, because 152306642505 - 23 = 152306642497 is a prime.

It is a super-2 number, since 2×1523066425052 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (152306642507) 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, 70478625 + ... + 70480785.

It is an arithmetic number, because the mean of its divisors is an integer number (2149797672).

Almost surely, 2152306642505 is an apocalyptic number.

152306642505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

152306642505 is a deficient number, since it is larger than the sum of its proper divisors (122867459511).

152306642505 is a wasteful number, since it uses less digits than its factorization.

152306642505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2467.

The product of its (nonzero) digits is 216000, while the sum is 39.

The spelling of 152306642505 in words is "one hundred fifty-two billion, three hundred six million, six hundred forty-two thousand, five hundred five".

Divisors: 1 3 5 15 17 23 51 61 69 85 115 183 197 255 305 345 391 591 915 985 1037 1173 1403 1955 2161 2955 3111 3349 4209 4531 5185 5865 6483 7015 10047 10805 12017 13593 15555 16745 21045 22655 23851 32415 36051 36737 49703 50235 60085 67965 71553 77027 110211 119255 131821 149109 180255 183685 204289 231081 248515 276391 357765 385135 395463 425717 551055 612867 659105 745545 829173 844951 1021445 1155405 1277151 1381955 1977315 2128585 2240957 2534853 3031883 3064335 4145865 4224755 4698647 6385755 6722871 7237189 9095649 9791491 11204785 12674265 14095941 15159415 21711567 23493235 25968737 29374473 33614355 36185945 45478245 48957455 51542011 70479705 77906211 108557835 129843685 146872365 154626033 166455347 257710055 389531055 441468529 499366041 597280951 773130165 832276735 1324405587 1791842853 2207342645 2496830205 2986404755 6622027935 8959214265 10153776167 30461328501 50768880835 152306642505