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11328538662960 = 2435291627663601
BaseRepresentation
bin1010010011011010000110…
…0001011101100000110000
31111002222221100002222212120
42210312201201131200300
52441101321344203320
640032131523154240
72246313514556001
oct244664141354060
944088840088776
1011328538662960
113678451817082
12132b668815980
1364237994187c
142b2438a051a8
15149a34533440
hexa4da185d830

11328538662960 has 80 divisors (see below), whose sum is σ = 36329451596640. Its totient is φ = 2916773171200.

The previous prime is 11328538662949. The next prime is 11328538663021. The reversal of 11328538662960 is 6926683582311.

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 (60).

It is a junction number, because it is equal to n+sod(n) for n = 11328538662894 and 11328538662903.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 813824841 + ... + 813838760.

It is an arithmetic number, because the mean of its divisors is an integer number (454118144958).

Almost surely, 211328538662960 is an apocalyptic number.

11328538662960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11328538662960 is an abundant number, since it is smaller than the sum of its proper divisors (25000912933680).

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

11328538662960 is a wasteful number, since it uses less digits than its factorization.

11328538662960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1627663646 (or 1627663640 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 60.

The spelling of 11328538662960 in words is "eleven trillion, three hundred twenty-eight billion, five hundred thirty-eight million, six hundred sixty-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 870 1160 1392 1740 2320 3480 6960 1627663601 3255327202 4882990803 6510654404 8138318005 9765981606 13021308808 16276636010 19531963212 24414954015 26042617616 32553272020 39063926424 47202244429 48829908030 65106544040 78127852848 94404488858 97659816060 130213088080 141606733287 188808977716 195319632120 236011222145 283213466574 377617955432 390639264240 472022444290 566426933148 708033666435 755235910864 944044888580 1132853866296 1416067332870 1888089777160 2265707732592 2832134665740 3776179554320 5664269331480 11328538662960