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642412441650 = 235275771060349
BaseRepresentation
bin10010101100100101100…
…00111111000000110010
32021102011211100022210110
421112102300333000302
541011130041113100
61211041544042150
764261402441260
oct11262260770062
92242154308713
10642412441650
1122849a091771
12a4606763356
134876b763725
1423142dcd430
1511a9d537250
hex9592c3f032

642412441650 has 96 divisors (see below), whose sum is σ = 1823937724800. Its totient is φ = 146582507520.

The previous prime is 642412441637. The next prime is 642412441667. The reversal of 642412441650 is 56144214246.

It is a junction number, because it is equal to n+sod(n) for n = 642412441599 and 642412441608.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75676 + ... + 1136024.

It is an arithmetic number, because the mean of its divisors is an integer number (18999351300).

Almost surely, 2642412441650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642412441650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911968862400).

642412441650 is an abundant number, since it is smaller than the sum of its proper divisors (1181525283150).

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

642412441650 is a wasteful number, since it uses less digits than its factorization.

642412441650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060948 (or 1060943 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

Adding to 642412441650 its reverse (56144214246), we get a palindrome (698556655896).

The spelling of 642412441650 in words is "six hundred forty-two billion, four hundred twelve million, four hundred forty-one thousand, six hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 175 210 350 525 577 1050 1154 1731 2885 3462 4039 5770 8078 8655 12117 14425 17310 20195 24234 28850 40390 43275 60585 86550 100975 121170 201950 302925 605850 1060349 2120698 3181047 5301745 6362094 7422443 10603490 14844886 15905235 22267329 26508725 31810470 37112215 44534658 53017450 74224430 79526175 111336645 159052350 185561075 222673290 371122150 556683225 611821373 1113366450 1223642746 1835464119 3059106865 3670928238 4282749611 6118213730 8565499222 9177320595 12848248833 15295534325 18354641190 21413748055 25696497666 30591068650 42827496110 45886602975 64241244165 91773205950 107068740275 128482488330 214137480550 321206220825 642412441650