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41620631664648 = 23345718661203351
BaseRepresentation
bin10010111011010100011101…
…11101110011100000001000
312110100220010101022122112110
421131222032331303200020
520423403023201232043
6224304130525142320
711523664023644421
oct1135521675634010
9173326111278473
1041620631664648
1112297235588583
1248024353ba9a0
131a2ba689cc89a
14a3c640d18648
154c29ac741b33
hex25da8ef73808

41620631664648 has 64 divisors (see below), whose sum is σ = 104285364059520. Its totient is φ = 13842376128000.

The previous prime is 41620631664611. The next prime is 41620631664683. The reversal of 41620631664648 is 84646613602614.

41620631664648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204572173 + ... + 204775523.

It is an arithmetic number, because the mean of its divisors is an integer number (1629458813430).

Almost surely, 241620631664648 is an apocalyptic number.

It is an amenable number.

41620631664648 is an abundant number, since it is smaller than the sum of its proper divisors (62664732394872).

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

41620631664648 is a wasteful number, since it uses less digits than its factorization.

41620631664648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222478 (or 222474 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 57.

The spelling of 41620631664648 in words is "forty-one trillion, six hundred twenty billion, six hundred thirty-one million, six hundred sixty-four thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 24 457 914 1371 1828 2742 3656 5484 10968 18661 37322 55983 74644 111966 149288 203351 223932 406702 447864 610053 813404 1220106 1626808 2440212 4880424 8528077 17056154 25584231 34112308 51168462 68224616 92931407 102336924 185862814 204673848 278794221 371725628 557588442 743451256 1115176884 2230353768 3794733011 7589466022 11384199033 15178932044 22768398066 30357864088 45536796132 91073592264 1734192986027 3468385972054 5202578958081 6936771944108 10405157916162 13873543888216 20810315832324 41620631664648