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41198157648 = 2432613346649
BaseRepresentation
bin100110010111100110…
…011111111101010000
310221100011121020210200
4212113212133331100
51133333212021043
630532015255200
72655633363534
oct462746377520
9127304536720
1041198157648
111652131667a
127b9921a500
133b6738029b
141dcb77bbc4
151111cab7d3
hex99799ff50

41198157648 has 60 divisors (see below), whose sum is σ = 115318893300. Its totient is φ = 13730185728.

The previous prime is 41198157617. The next prime is 41198157661. The reversal of 41198157648 is 84675189114.

It can be written as a sum of positive squares in 2 ways, for example, as 34658524224 + 6539633424 = 186168^2 + 80868^2 .

It is a junction number, because it is equal to n+sod(n) for n = 41198157594 and 41198157603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 859828 + ... + 906476.

It is an arithmetic number, because the mean of its divisors is an integer number (1921981555).

Almost surely, 241198157648 is an apocalyptic number.

41198157648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

41198157648 is an abundant number, since it is smaller than the sum of its proper divisors (74120735652).

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

41198157648 is a wasteful number, since it uses less digits than its factorization.

41198157648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52796 (or 52787 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 54.

The spelling of 41198157648 in words is "forty-one billion, one hundred ninety-eight million, one hundred fifty-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 6133 12266 18399 24532 36798 46649 49064 55197 73596 93298 98128 110394 139947 147192 186596 220788 279894 294384 373192 419841 441576 559788 746384 839682 883152 1119576 1679364 2239152 3358728 6717456 286098317 572196634 858294951 1144393268 1716589902 2288786536 2574884853 3433179804 4577573072 5149769706 6866359608 10299539412 13732719216 20599078824 41198157648