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1018158459972 = 223177381178423
BaseRepresentation
bin11101101000011101111…
…10010010110001000100
310121100001012202202201120
432310032332102301010
5113140142031204342
62055422513153540
7133362626054403
oct16641676226104
93540035682646
101018158459972
113628869a8705
121453ab25b8b0
137502029a904
14373c9d2163a
151b7409c0aec
hexed0ef92c44

1018158459972 has 96 divisors (see below), whose sum is σ = 2550525449472. Its totient is φ = 314970402816.

The previous prime is 1018158459971. The next prime is 1018158459991. The reversal of 1018158459972 is 2799548518101.

1018158459972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10181584599722 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1018158459971) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120874153 + ... + 120882575.

It is an arithmetic number, because the mean of its divisors is an integer number (26567973432).

Almost surely, 21018158459972 is an apocalyptic number.

1018158459972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1018158459972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275262724736).

1018158459972 is an abundant number, since it is smaller than the sum of its proper divisors (1532366989500).

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

1018158459972 is a wasteful number, since it uses less digits than its factorization.

1018158459972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16637 (or 16635 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 60.

The spelling of 1018158459972 in words is "one trillion, eighteen billion, one hundred fifty-eight million, four hundred fifty-nine thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 73 102 146 204 219 292 438 876 1241 2482 3723 4964 7446 8117 8423 14892 16234 16846 24351 25269 32468 33692 48702 50538 97404 101076 137989 143191 275978 286382 413967 429573 551956 572764 592541 614879 827934 859146 1185082 1229758 1655868 1718292 1777623 1844637 2370164 2459516 3555246 3689274 7110492 7378548 10073197 10452943 20146394 20905886 30219591 31358829 40292788 41811772 60439182 62717658 68369491 120878364 125435316 136738982 205108473 273477964 410216946 820433892 1162281347 2324562694 3486844041 4649125388 4990972843 6973688082 9981945686 13947376164 14972918529 19963891372 29945837058 59891674116 84846538331 169693076662 254539614993 339386153324 509079229986 1018158459972