Search a number
-
+
10971418128 = 24311137151673
BaseRepresentation
bin10100011011111001…
…01000111000010000
31001022121122210021120
422031330220320100
5134432140340003
65012403322240
7535611341526
oct121574507020
931277583246
1010971418128
114720096910
122162380380
13105b02acb8
14761190316
154432e5853
hex28df28e10

10971418128 has 80 divisors (see below), whose sum is σ = 31145345856. Its totient is φ = 3300382720.

The previous prime is 10971418099. The next prime is 10971418153. The reversal of 10971418128 is 82181417901.

It is a self number, because there is not a number n which added to its sum of digits gives 10971418128.

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, 3501 + ... + 148172.

Almost surely, 210971418128 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 10971418128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15572672928).

10971418128 is an abundant number, since it is smaller than the sum of its proper divisors (20173927728).

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

10971418128 is a wasteful number, since it uses less digits than its factorization.

10971418128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151832 (or 151826 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 42.

The spelling of 10971418128 in words is "ten billion, nine hundred seventy-one million, four hundred eighteen thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 137 176 264 274 411 528 548 822 1096 1507 1644 2192 3014 3288 4521 6028 6576 9042 12056 18084 24112 36168 72336 151673 303346 455019 606692 910038 1213384 1668403 1820076 2426768 3336806 3640152 5005209 6673612 7280304 10010418 13347224 20020836 20779201 26694448 40041672 41558402 62337603 80083344 83116804 124675206 166233608 228571211 249350412 332467216 457142422 498700824 685713633 914284844 997401648 1371427266 1828569688 2742854532 3657139376 5485709064 10971418128