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8141531640 = 2335116167827
BaseRepresentation
bin1111001010100010…
…11110100111111000
3210000101201122210220
413211101132213320
5113133213003030
63423513140040
7405516606564
oct74521364770
923011648726
108141531640
1134a8756250
1216b26ba620
139c9968658
145733ca6a4
15329b55a10
hex1e545e9f8

8141531640 has 64 divisors (see below), whose sum is σ = 26645016960. Its totient is φ = 1973704320.

The previous prime is 8141531611. The next prime is 8141531641. The reversal of 8141531640 is 461351418.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8141531641) 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 15 ways as a sum of consecutive naturals, for example, 3082594 + ... + 3085233.

It is an arithmetic number, because the mean of its divisors is an integer number (416328390).

Almost surely, 28141531640 is an apocalyptic number.

It is an amenable number.

8141531640 is an abundant number, since it is smaller than the sum of its proper divisors (18503485320).

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

8141531640 is a wasteful number, since it uses less digits than its factorization.

8141531640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6167852 (or 6167848 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 8141531640 is about 90230.4363283255. The cubic root of 8141531640 is about 2011.7254261839.

The spelling of 8141531640 in words is "eight billion, one hundred forty-one million, five hundred thirty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 6167827 12335654 18503481 24671308 30839135 37006962 49342616 61678270 67846097 74013924 92517405 123356540 135692194 148027848 185034810 203538291 246713080 271384388 339230485 370069620 407076582 542768776 678460970 740139240 814153164 1017691455 1356921940 1628306328 2035382910 2713843880 4070765820 8141531640