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640416541101146 = 23977574331064873
BaseRepresentation
bin1001000110011101001001100…
…0011100001100110001011010
310002222112020000212101120001022
42101213102120130030301122
51132420041034010214041
610150015144130122442
7251615365620264455
oct22147223034146132
93088466025346038
10640416541101146
11176069147910537
125b9b1023a20422
1321646036611824
14b42047c69249c
154e08a85a6024b
hex246749870cc5a

640416541101146 has 16 divisors (see below), whose sum is σ = 963046697339304. Its totient is φ = 319400978966784.

The previous prime is 640416541101143. The next prime is 640416541101229. The reversal of 640416541101146 is 641101145614046.

It can be written as a sum of positive squares in 4 ways, for example, as 422197496028025 + 218219045073121 = 20547445^2 + 14772239^2 .

It is a super-3 number, since 3×6404165411011463 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 640416541101097 and 640416541101106.

It is not an unprimeable number, because it can be changed into a prime (640416541101143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 600869366 + ... + 601934238.

Almost surely, 2640416541101146 is an apocalyptic number.

640416541101146 is a deficient number, since it is larger than the sum of its proper divisors (322630156238158).

640416541101146 is a wasteful number, since it uses less digits than its factorization.

640416541101146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1822705.

The product of its (nonzero) digits is 276480, while the sum is 44.

The spelling of 640416541101146 in words is "six hundred forty trillion, four hundred sixteen billion, five hundred forty-one million, one hundred one thousand, one hundred forty-six".

Divisors: 1 2 397 794 757433 1064873 1514866 2129746 300700901 422754581 601401802 845509162 806569951009 1613139902018 320208270550573 640416541101146