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1109478915328 = 2872926638017
BaseRepresentation
bin10000001001010010000…
…110001011110100000000
310221001202111022120001211
4100021102012023310000
5121134203100242303
62205404303335504
7143104631115130
oct20112206136400
93831674276054
101109478915328
11398588a18413
1215b0362b1594
138081483a604
143b9b0346ac0
151dcd7c2d66d
hex1025218bd00

1109478915328 has 144 divisors (see below), whose sum is σ = 2619584513280. Its totient is φ = 458865082368.

The previous prime is 1109478915289. The next prime is 1109478915329. The reversal of 1109478915328 is 8235198749011.

It is a super-3 number, since 3×11094789153283 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1109478915329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138386776 + ... + 138394792.

It is an arithmetic number, because the mean of its divisors is an integer number (18191559120).

Almost surely, 21109478915328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1109478915328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309792256640).

1109478915328 is an abundant number, since it is smaller than the sum of its proper divisors (1510105597952).

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

1109478915328 is an equidigital number, since it uses as much as digits as its factorization.

1109478915328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10732 (or 10718 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 58.

The spelling of 1109478915328 in words is "one trillion, one hundred nine billion, four hundred seventy-eight million, nine hundred fifteen thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 203 224 232 256 406 448 464 812 896 928 1624 1792 1856 2663 3248 3712 5326 6496 7424 8017 10652 12992 16034 18641 21304 25984 32068 37282 42608 51968 56119 64136 74564 77227 85216 112238 128272 149128 154454 170432 224476 232493 256544 298256 308908 340864 448952 464986 513088 540589 596512 617816 681728 897904 929972 1026176 1081178 1193024 1235632 1627451 1795808 1859944 2052352 2162356 2386048 2471264 3254902 3591616 3719888 4324712 4772096 4942528 6509804 7183232 7439776 8649424 9885056 13019608 14366464 14879552 17298848 19770112 21349271 26039216 29759104 34597696 42698542 52078432 59518208 69195392 85397084 104156864 138390784 149444897 170794168 208313728 298889794 341588336 416627456 597779588 619128859 683176672 1195559176 1238257718 1366353344 2391118352 2476515436 2732706688 4333902013 4782236704 4953030872 5465413376 8667804026 9564473408 9906061744 17335608052 19128946816 19812123488 34671216104 38257893632 39624246976 69342432208 79248493952 138684864416 158496987904 277369728832 554739457664 1109478915328