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1054446087816 = 23361116436683
BaseRepresentation
bin11110101100000011110…
…00100110111010001000
310201210201011100021000000
433112001320212322020
5114234001144302231
62124223355043000
7136116104601642
oct17260170467210
93653634307000
101054446087816
11377208366590
12150437a40460
13785841b7054
143906d44b892
151c6665ea6e6
hexf581e26e88

1054446087816 has 112 divisors (see below), whose sum is σ = 3233753210160. Its totient is φ = 319529098080.

The previous prime is 1054446087811. The next prime is 1054446087853. The reversal of 1054446087816 is 6187806444501.

1054446087816 is a `hidden beast` number, since 1 + 0 + 544 + 4 + 6 + 0 + 87 + 8 + 16 = 666.

It is a super-2 number, since 2×10544460878162 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1054446087811) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 8154190 + ... + 8282493.

Almost surely, 21054446087816 is an apocalyptic number.

It is an amenable number.

1054446087816 is an abundant number, since it is smaller than the sum of its proper divisors (2179307122344).

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

1054446087816 is a wasteful number, since it uses less digits than its factorization.

1054446087816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16436718 (or 16436699 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 1054446087816 in words is "one trillion, fifty-four billion, four hundred forty-six million, eighty-seven thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 243 264 297 324 396 486 594 648 729 792 891 972 1188 1458 1782 1944 2376 2673 2916 3564 5346 5832 7128 8019 10692 16038 21384 32076 64152 16436683 32873366 49310049 65746732 98620098 131493464 147930147 180803513 197240196 295860294 361607026 394480392 443790441 542410539 591720588 723214052 887580882 1084821078 1183441176 1331371323 1446428104 1627231617 1775161764 2169642156 2662742646 3254463234 3550323528 3994113969 4339284312 4881694851 5325485292 6508926468 7988227938 9763389702 10650970584 11982341907 13017852936 14645084553 15976455876 19526779404 23964683814 29290169106 31952911752 39053558808 43935253659 47929367628 58580338212 87870507318 95858735256 117160676424 131805760977 175741014636 263611521954 351482029272 527223043908 1054446087816