Search a number
-
+
10450397568 = 273132161033
BaseRepresentation
bin10011011101110010…
…00110100110000000
3222222022021012102210
421232321012212000
5132400300210233
64444552142120
7516653625252
oct115671064600
928868235383
1010450397568
114482a82406
122037997940
13ca70c6100
14711cc5cd2
154126c9163
hex26ee46980

10450397568 has 96 divisors (see below), whose sum is σ = 30058606440. Its totient is φ = 3215486976.

The previous prime is 10450397567. The next prime is 10450397579. The reversal of 10450397568 is 86579305401.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10450397567) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15621 + ... + 145412.

Almost surely, 210450397568 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 10450397568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15029303220).

10450397568 is an abundant number, since it is smaller than the sum of its proper divisors (19608208872).

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

10450397568 is a wasteful number, since it uses less digits than its factorization.

10450397568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161076 (or 161051 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The spelling of 10450397568 in words is "ten billion, four hundred fifty million, three hundred ninety-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 169 192 208 312 338 384 416 507 624 676 832 1014 1248 1352 1664 2028 2496 2704 4056 4992 5408 8112 10816 16224 21632 32448 64896 161033 322066 483099 644132 966198 1288264 1932396 2093429 2576528 3864792 4186858 5153056 6280287 7729584 8373716 10306112 12560574 15459168 16747432 20612224 25121148 27214577 30918336 33494864 50242296 54429154 61836672 66989728 81643731 100484592 108858308 133979456 163287462 200969184 217716616 267958912 326574924 401938368 435433232 653149848 803876736 870866464 1306299696 1741732928 2612599392 3483465856 5225198784 10450397568