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11354554000 = 245315736161
BaseRepresentation
bin10101001001100100…
…01011111010010000
31002022022121002220001
422210302023322100
5141223231212000
65114411255344
7551243054656
oct124462137220
932268532801
1011354554000
1148a7393529
12224a74a554
1310bc51660a
1479a004dd6
15466c7746a
hex2a4c8be90

11354554000 has 80 divisors (see below), whose sum is σ = 27630950256. Its totient is φ = 4512768000.

The previous prime is 11354553961. The next prime is 11354554037. The reversal of 11354554000 is 45545311.

It can be written as a sum of positive squares in 8 ways, for example, as 3132417024 + 8222136976 = 55968^2 + 90676^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 11354554000.

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, 295920 + ... + 332080.

Almost surely, 211354554000 is an apocalyptic number.

11354554000 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 11354554000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13815475128).

11354554000 is an abundant number, since it is smaller than the sum of its proper divisors (16276396256).

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

11354554000 is a wasteful number, since it uses less digits than its factorization.

11354554000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36341 (or 36325 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The spelling of 11354554000 in words is "eleven billion, three hundred fifty-four million, five hundred fifty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 157 200 250 314 400 500 628 785 1000 1256 1570 2000 2512 3140 3925 6280 7850 12560 15700 19625 31400 36161 39250 62800 72322 78500 144644 157000 180805 289288 314000 361610 578576 723220 904025 1446440 1808050 2892880 3616100 4520125 5677277 7232200 9040250 11354554 14464400 18080500 22709108 28386385 36161000 45418216 56772770 72322000 90836432 113545540 141931925 227091080 283863850 454182160 567727700 709659625 1135455400 1419319250 2270910800 2838638500 5677277000 11354554000