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41928328560 = 2435414261009
BaseRepresentation
bin100111000011000111…
…111000010101110000
311000020001112202222210
4213003013320111300
51141332123003220
631132301332120
73013010624646
oct470307702560
9130201482883
1041928328560
11168664a2908
128161867040
133c52724391
14205a72b196
151155e3d6e0
hex9c31f8570

41928328560 has 80 divisors (see below), whose sum is σ = 133148040480. Its totient is φ = 10908180480.

The previous prime is 41928328531. The next prime is 41928328579. The reversal of 41928328560 is 6582382914.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2120665 + ... + 2140344.

It is an arithmetic number, because the mean of its divisors is an integer number (1664350506).

Almost surely, 241928328560 is an apocalyptic number.

41928328560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41928328560 is an abundant number, since it is smaller than the sum of its proper divisors (91219711920).

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

41928328560 is a wasteful number, since it uses less digits than its factorization.

41928328560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4261066 (or 4261060 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 41928328560 in words is "forty-one billion, nine hundred twenty-eight million, three hundred twenty-eight thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 820 984 1230 1640 1968 2460 3280 4920 9840 4261009 8522018 12783027 17044036 21305045 25566054 34088072 42610090 51132108 63915135 68176144 85220180 102264216 127830270 170440360 174701369 204528432 255660540 340880720 349402738 511321080 524104107 698805476 873506845 1022642160 1048208214 1397610952 1747013690 2096416428 2620520535 2795221904 3494027380 4192832856 5241041070 6988054760 8385665712 10482082140 13976109520 20964164280 41928328560