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2981478079888 = 2471120291192721
BaseRepresentation
bin101011011000101101111…
…100010001110110010000
3101120000201100000020121221
4223120231330101312100
5342322031342024023
610201401102254424
7425255543351020
oct53305574216620
911500640006557
102981478079888
11a4a48a715a90
124019b6b87414
131881c9441169
14a4439049a80
155284d64285d
hex2b62df11d90

2981478079888 has 80 divisors (see below), whose sum is σ = 7205567564160. Its totient is φ = 1161041356800.

The previous prime is 2981478079883. The next prime is 2981478079933. The reversal of 2981478079888 is 8889708741892.

2981478079888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2981478079883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1903368 + ... + 3096088.

It is an arithmetic number, because the mean of its divisors is an integer number (90069594552).

Almost surely, 22981478079888 is an apocalyptic number.

2981478079888 is a gapful number since it is divisible by the number (28) 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 2981478079888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3602783782080).

2981478079888 is an abundant number, since it is smaller than the sum of its proper divisors (4224089484272).

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

2981478079888 is a wasteful number, since it uses less digits than its factorization.

2981478079888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194776 (or 1194770 counting only the distinct ones).

The product of its (nonzero) digits is 1040449536, while the sum is 79.

The spelling of 2981478079888 in words is "two trillion, nine hundred eighty-one billion, four hundred seventy-eight million, seventy-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 1232 2029 4058 8116 14203 16232 22319 28406 32464 44638 56812 89276 113624 156233 178552 227248 312466 357104 624932 1192721 1249864 2385442 2499728 4770884 8349047 9541768 13119931 16698094 19083536 26239862 33396188 52479724 66792376 91839517 104959448 133584752 183679034 209918896 367358068 734716136 1469432272 2420030909 4840061818 9680123636 16940216363 19360247272 26620339999 33880432726 38720494544 53240679998 67760865452 106481359996 135521730904 186342379993 212962719992 271043461808 372684759986 425925439984 745369519972 1490739039944 2981478079888