Search a number
-
+
1155419623808 = 27173166125913
BaseRepresentation
bin10000110100000100011…
…000000101000110000000
311002110100011212100120022
4100310010120011012000
5122412244410430213
62242443100233012
7146322242520542
oct20640430050600
94073304770508
101155419623808
1140601328a68a
12167b1783b768
1384c565c9298
143dccb8cb692
15200c603a308
hex10d04605180

1155419623808 has 128 divisors (see below), whose sum is σ = 2519736387840. Its totient is φ = 525370982400.

The previous prime is 1155419623807. The next prime is 1155419623819. The reversal of 1155419623808 is 8083269145511.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 1155419623808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1155419623807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44575460 + ... + 44601372.

It is an arithmetic number, because the mean of its divisors is an integer number (19685440530).

Almost surely, 21155419623808 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 1155419623808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259868193920).

1155419623808 is an abundant number, since it is smaller than the sum of its proper divisors (1364316764032).

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

1155419623808 is a wasteful number, since it uses less digits than its factorization.

1155419623808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26636 (or 26624 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 53.

The spelling of 1155419623808 in words is "one trillion, one hundred fifty-five billion, four hundred nineteen million, six hundred twenty-three thousand, eight hundred eight".

Divisors: 1 2 4 8 16 17 31 32 34 62 64 68 124 128 136 248 272 496 527 544 661 992 1054 1088 1322 1984 2108 2176 2644 3968 4216 5288 8432 10576 11237 16864 20491 21152 22474 25913 33728 40982 42304 44948 51826 67456 81964 84608 89896 103652 163928 179792 207304 327856 348347 359584 414608 440521 655712 696694 719168 803303 829216 881042 1311424 1393388 1438336 1606606 1658432 1762084 2622848 2786776 3213212 3316864 3524168 5573552 6426424 7048336 11147104 12852848 13656151 14096672 17128493 22294208 25705696 27312302 28193344 34256986 44588416 51411392 54624604 56386688 68513972 102822784 109249208 137027944 218498416 274055888 291184381 436996832 530983283 548111776 582368762 873993664 1061966566 1096223552 1164737524 1747987328 2123933132 2192447104 2329475048 4247866264 4658950096 8495732528 9026715811 9317900192 16991465056 18053431622 18635800384 33982930112 36106863244 37271600768 67965860224 72213726488 144427452976 288854905952 577709811904 1155419623808