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1007080518015 = 3451113155311197
BaseRepresentation
bin11101010011110101010…
…11010011000101111111
310120021110011200000020000
432221322223103011333
5113000000103034030
62050351342325343
7132521252106465
oct16517253230577
93507404600200
101007080518015
11359111774980
12143219289853
1373c76183880
1436a58962835
151b2e3187860
hexea7aad317f

1007080518015 has 160 divisors (see below), whose sum is σ = 2122449569856. Its totient is φ = 450390896640.

The previous prime is 1007080517981. The next prime is 1007080518043. The reversal of 1007080518015 is 5108150807001.

It is a happy number.

It is not a de Polignac number, because 1007080518015 - 27 = 1007080517887 is a prime.

It is a super-2 number, since 2×10070805180152 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 89936397 + ... + 89947593.

Almost surely, 21007080518015 is an apocalyptic number.

1007080518015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1007080518015 is an abundant number, since it is smaller than the sum of its proper divisors (1115369051841).

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

1007080518015 is a wasteful number, since it uses less digits than its factorization.

1007080518015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12791 (or 12782 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 36.

The spelling of 1007080518015 in words is "one trillion, seven billion, eighty million, five hundred eighteen thousand, fifteen".

Divisors: 1 3 5 9 11 13 15 27 33 39 45 55 65 81 99 117 135 143 165 195 297 351 405 429 495 585 715 891 1053 1287 1485 1553 1755 2145 3861 4455 4659 5265 6435 7765 11197 11583 13977 17083 19305 20189 23295 33591 41931 51249 55985 57915 60567 69885 85415 100773 100945 123167 125793 145561 153747 167955 181701 209655 222079 256245 302319 302835 369501 436683 461241 503865 545103 615835 628965 666237 727805 768735 906957 908505 1108503 1110395 1310049 1383723 1511595 1601171 1635309 1847505 1998711 2183415 2306205 2725515 3325509 3331185 3930147 4534785 4803513 5542515 5996133 6550245 6918615 8005855 8176545 9976527 9993555 11790441 14410539 16627545 17388941 17988399 19650735 24017565 29980665 43231617 49882635 52166823 58952205 72052695 86944705 89941995 129694851 156500469 191278351 216158085 226056233 260834115 469501407 573835053 648474255 678168699 782502345 956391755 1130281165 1408504221 1721505159 2034506097 2347507035 2486618563 2869175265 3390843495 5164515477 6103518291 7042521105 7459855689 8607525795 10172530485 12433092815 15493546431 18310554873 22379567067 25822577385 30517591455 37299278445 67138701201 77467732155 91552774365 111897835335 201416103603 335693506005 1007080518015