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4103278961568 = 2531671027124919
BaseRepresentation
bin111011101101011110011…
…111000010001110100000
3112112021021120021112211220
4323231132133002032200
51014212003403232233
612421004220335040
7602311035461253
oct73553637021640
915467246245756
104103278961568
111342211002066
125632ab9a4480
13239c25a32507
14102857a6109a
1571b07eddeb3
hex3bb5e7c23a0

4103278961568 has 96 divisors (see below), whose sum is σ = 10837094768640. Its totient is φ = 1359382552320.

The previous prime is 4103278961519. The next prime is 4103278961629. The reversal of 4103278961568 is 8651698723014.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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, 164652213 + ... + 164677131.

It is an arithmetic number, because the mean of its divisors is an integer number (112886403840).

It is a 1-persistent number, because it is pandigital, but 2⋅4103278961568 = 8206557923136 is not.

Almost surely, 24103278961568 is an apocalyptic number.

4103278961568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4103278961568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5418547384320).

4103278961568 is an abundant number, since it is smaller than the sum of its proper divisors (6733815807072).

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

4103278961568 is a wasteful number, since it uses less digits than its factorization.

4103278961568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35370 (or 35362 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 60.

The spelling of 4103278961568 in words is "four trillion, one hundred three billion, two hundred seventy-eight million, nine hundred sixty-one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 167 334 501 668 1002 1336 2004 2672 4008 5344 8016 10271 16032 20542 24919 30813 41084 49838 61626 74757 82168 99676 123252 149514 164336 199352 246504 299028 328672 398704 493008 598056 797408 986016 1196112 1715257 2392224 3430514 4161473 5145771 6861028 8322946 10291542 12484419 13722056 16645892 20583084 24968838 27444112 33291784 41166168 49937676 54888224 66583568 82332336 99875352 133167136 164664672 199750704 255943049 399501408 511886098 767829147 1023772196 1535658294 2047544392 3071316588 4095088784 6142633176 8190177568 12285266352 24570532704 42742489183 85484978366 128227467549 170969956732 256454935098 341939913464 512909870196 683879826928 1025819740392 1367759653856 2051639480784 4103278961568