Search a number
-
+
1097504010336 = 25341325385717
BaseRepresentation
bin11111111100010000101…
…01100011000001100000
310212220211221102100121010
433332020111203001200
5120440142011312321
62200104131500520
7142202113110516
oct17761025430140
93786757370533
101097504010336
113934a3447018
12158853a57740
137c656951306
143b195bbc4b6
151d8367b8676
hexff88563060

1097504010336 has 96 divisors (see below), whose sum is σ = 2952156721248. Its totient is φ = 356797992960.

The previous prime is 1097504010331. The next prime is 1097504010349. The reversal of 1097504010336 is 6330104057901.

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

It is a junction number, because it is equal to n+sod(n) for n = 1097504010294 and 1097504010303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1097504010331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12760950 + ... + 12846666.

It is an arithmetic number, because the mean of its divisors is an integer number (30751632513).

Almost surely, 21097504010336 is an apocalyptic number.

1097504010336 is a gapful number since it is divisible by the number (16) 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 1097504010336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476078360624).

1097504010336 is an abundant number, since it is smaller than the sum of its proper divisors (1854652710912).

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

1097504010336 is a wasteful number, since it uses less digits than its factorization.

1097504010336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89024 (or 89016 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The spelling of 1097504010336 in words is "one trillion, ninety-seven billion, five hundred four million, ten thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1968 3253 3936 6506 9759 13012 19518 26024 39036 52048 78072 85717 104096 133373 156144 171434 257151 266746 312288 342868 400119 514302 533492 685736 800238 1028604 1066984 1371472 1600476 2057208 2133968 2742944 3200952 3514397 4114416 4267936 6401904 7028794 8228832 10543191 12803808 14057588 21086382 28115176 42172764 56230352 84345528 112460704 168691056 278837401 337382112 557674802 836512203 1115349604 1673024406 2230699208 3346048812 4461398416 6692097624 8922796832 11432333441 13384195248 22864666882 26768390496 34297000323 45729333764 68594000646 91458667528 137188001292 182917335056 274376002584 365834670112 548752005168 1097504010336