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1087208248016 = 241125743355511
BaseRepresentation
bin11111101001000101010…
…10010101001011010000
310211221021102010102211202
433310202222111023100
5120303100302414031
62151242341530332
7141356014425662
oct17644252251320
93757242112752
101087208248016
1138a09a792440
1215685ba139a8
137b6a58bab67
143a89a66a532
151d4329872cb
hexfd22a952d0

1087208248016 has 80 divisors (see below), whose sum is σ = 2312273755008. Its totient is φ = 491116953600.

The previous prime is 1087208247991. The next prime is 1087208248031. The reversal of 1087208248016 is 6108428027801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19557701 + ... + 19613211.

Almost surely, 21087208248016 is an apocalyptic number.

1087208248016 is a gapful number since it is divisible by the number (16) 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 1087208248016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156136877504).

1087208248016 is an abundant number, since it is smaller than the sum of its proper divisors (1225065506992).

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

1087208248016 is a wasteful number, since it uses less digits than its factorization.

1087208248016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56220 (or 56214 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 47.

The spelling of 1087208248016 in words is "one trillion, eighty-seven billion, two hundred eight million, two hundred forty-eight thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 44 88 176 257 433 514 866 1028 1732 2056 2827 3464 4112 4763 5654 6928 9526 11308 19052 22616 38104 45232 55511 76208 111022 111281 222044 222562 444088 445124 610621 888176 890248 1221242 1224091 1780496 2442484 2448182 4884968 4896364 9769936 9792728 14266327 19585456 24036263 28532654 48072526 57065308 96145052 114130616 156929597 192290104 228261232 264398893 313859194 384580208 528797786 627718388 1057595572 1255436776 2115191144 2510873552 4230382288 6177319591 12354639182 24709278364 49418556728 67950515501 98837113456 135901031002 271802062004 543604124008 1087208248016