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3842561817616 = 2419107702716811
BaseRepresentation
bin110111111010101010100…
…010000011110000010000
3111121100022201222101001011
4313322222202003300100
51000424031311130431
612101125403220304
7544421156352664
oct67725242036020
914540281871034
103842561817616
111251691a74a55
1252086a217694
1321b476523632
14d3da3b6c8a4
1569e493a9cb1
hex37eaa883c10

3842561817616 has 80 divisors (see below), whose sum is σ = 7911641122560. Its totient is φ = 1802786163840.

The previous prime is 3842561817583. The next prime is 3842561817641. The reversal of 3842561817616 is 6167181652483.

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, 228565851 + ... + 228582661.

It is an arithmetic number, because the mean of its divisors is an integer number (98895514032).

Almost surely, 23842561817616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3842561817616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3955820561280).

3842561817616 is an abundant number, since it is smaller than the sum of its proper divisors (4069079304944).

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

3842561817616 is a wasteful number, since it uses less digits than its factorization.

3842561817616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23972 (or 23966 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 58.

The spelling of 3842561817616 in words is "three trillion, eight hundred forty-two billion, five hundred sixty-one million, eight hundred seventeen thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 19 38 76 107 152 214 304 428 856 1712 2033 4066 7027 8132 14054 16264 16811 28108 32528 33622 56216 67244 112432 133513 134488 267026 268976 319409 534052 638818 751889 1068104 1277636 1503778 1798777 2136208 2555272 3007556 3597554 5110544 6015112 7195108 12030224 14285891 14390216 28571782 28780432 34176763 57143564 68353526 114287128 118130897 136707052 228574256 236261794 273414104 472523588 546828208 945047176 1890094352 2244487043 4488974086 8977948172 12640005979 17955896344 25280011958 35911792688 50560023916 101120047832 202240095664 240160113601 480320227202 960640454404 1921280908808 3842561817616