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1086252147939 = 371931271367883
BaseRepresentation
bin11111100111010011010…
…11000110010011100011
310211211210210001112002210
433303221223012103203
5120244121022213224
62151003425213203
7141323224625130
oct17635153062343
93754723045083
101086252147939
1138974a023292
12156633791203
137b5827b167a
143a8096a9587
151d3c8a78429
hexfce9ac64e3

1086252147939 has 128 divisors (see below), whose sum is σ = 1812170014720. Its totient is φ = 564791875200.

The previous prime is 1086252147919. The next prime is 1086252147961. The reversal of 1086252147939 is 9397412526801.

It is not a de Polignac number, because 1086252147939 - 29 = 1086252147427 is a prime.

It is a super-2 number, since 2×10862521479392 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1086252147919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1230183192 + ... + 1230184074.

It is an arithmetic number, because the mean of its divisors is an integer number (14157578240).

It is a 1-persistent number, because it is pandigital, but 2⋅1086252147939 = 2172504295878 is not.

Almost surely, 21086252147939 is an apocalyptic number.

1086252147939 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

1086252147939 is a deficient number, since it is larger than the sum of its proper divisors (725917866781).

1086252147939 is a wasteful number, since it uses less digits than its factorization.

1086252147939 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581.

The product of its (nonzero) digits is 6531840, while the sum is 57.

The spelling of 1086252147939 in words is "one trillion, eighty-six billion, two hundred fifty-two million, one hundred forty-seven thousand, nine hundred thirty-nine".

Divisors: 1 3 7 19 21 31 57 93 133 217 271 367 399 589 651 813 883 1101 1767 1897 2569 2649 4123 5149 5691 6181 6973 7707 8401 11377 12369 15447 16777 18543 20919 25203 27373 34131 36043 48811 50331 58807 79639 82119 99457 108129 117439 146433 159619 176421 191611 216163 238917 239293 298371 324061 352317 478857 520087 574833 648489 696199 717879 972183 1117333 1513141 1560261 1675051 1889683 2088597 2268427 3083167 3351999 3640609 4539423 4546567 5025153 5669049 6157159 6805281 7418083 9249501 10045891 10921827 13227781 13639701 18471477 21582169 22254249 30137673 31825969 39683343 43100113 51926581 58580173 64746507 70321237 87820531 95477907 129300339 140943577 155779743 175740519 190871929 210963711 263461593 410061211 422830731 572615787 614743717 986605039 1230183633 1336103503 1668590089 1844231151 2722436461 2959815117 4008310509 5005770267 8167309383 11680130623 19057055227 35040391869 51726292759 57171165681 155178878277 362084049313 1086252147939