Search a number
-
+
10350340880 = 2451117367987
BaseRepresentation
bin10011010001110110…
…11010101100010000
3222201022222210110112
421220323122230100
5132144141402010
64431015420452
7514330305635
oct115073325420
928638883415
1010350340880
114431552330
12200a384728
13c8c462879
147028bc18c
15408a12a05
hex268edab10

10350340880 has 80 divisors (see below), whose sum is σ = 26404363584. Its totient is φ = 3741949440.

The previous prime is 10350340849. The next prime is 10350340907. The reversal of 10350340880 is 8804305301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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, 118247 + ... + 186233.

Almost surely, 210350340880 is an apocalyptic number.

10350340880 is a gapful number since it is divisible by the number (10) 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 10350340880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13202181792).

10350340880 is an abundant number, since it is smaller than the sum of its proper divisors (16054022704).

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

10350340880 is a wasteful number, since it uses less digits than its factorization.

10350340880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68184 (or 68178 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The spelling of 10350340880 in words is "ten billion, three hundred fifty million, three hundred forty thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 173 176 220 346 440 692 865 880 1384 1730 1903 2768 3460 3806 6920 7612 9515 13840 15224 19030 30448 38060 67987 76120 135974 152240 271948 339935 543896 679870 747857 1087792 1359740 1495714 2719480 2991428 3739285 5438960 5982856 7478570 11761751 11965712 14957140 23523502 29914280 47047004 58808755 59828560 94094008 117617510 129379261 188188016 235235020 258758522 470470040 517517044 646896305 940940080 1035034088 1293792610 2070068176 2587585220 5175170440 10350340880