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41260700640 = 253585959793
BaseRepresentation
bin100110011011010101…
…000101001111100000
310221111112021202122210
4212123111011033200
51134000214410030
630542132002120
72660323111605
oct463325051740
9127445252583
1041260700640
11165536540a5
127bb6160340
133b7730a883
141dd5bbc6ac
151117512bb0
hex99b5453e0

41260700640 has 48 divisors (see below), whose sum is σ = 129971208528. Its totient is φ = 11002853376.

The previous prime is 41260700639. The next prime is 41260700641. The reversal of 41260700640 is 4600706214.

It is an interprime number because it is at equal distance from previous prime (41260700639) and next prime (41260700641).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 41260700598 and 41260700607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41260700641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42979417 + ... + 42980376.

It is an arithmetic number, because the mean of its divisors is an integer number (2707733511).

Almost surely, 241260700640 is an apocalyptic number.

41260700640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41260700640 is an abundant number, since it is smaller than the sum of its proper divisors (88710507888).

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

41260700640 is a wasteful number, since it uses less digits than its factorization.

41260700640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85959811 (or 85959803 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 41260700640 in words is "forty-one billion, two hundred sixty million, seven hundred thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 85959793 171919586 257879379 343839172 429798965 515758758 687678344 859597930 1031517516 1289396895 1375356688 1719195860 2063035032 2578793790 2750713376 3438391720 4126070064 5157587580 6876783440 8252140128 10315175160 13753566880 20630350320 41260700640