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10955103828480 = 293357231151691
BaseRepresentation
bin1001111101101010111100…
…0100100111101000000000
31102210022001000120212011000
42133122233010213220000
52413442023040002410
635144412154452000
72210323454054100
oct237325704475000
942708030525130
1010955103828480
11354404056a829
12128b20a134000
136160a5b971a6
1429c330a13200
1513ee79e29dc0
hex9f6af127a00

10955103828480 has 1920 divisors, whose sum is σ = 47104390840320. Its totient is φ = 2403717120000.

The previous prime is 10955103828479. The next prime is 10955103828481. The reversal of 10955103828480 is 8482830155901.

10955103828480 is a `hidden beast` number, since 1 + 0 + 9 + 5 + 510 + 3 + 82 + 8 + 48 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10955103828479) and next prime (10955103828481).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×109551038284802 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10955103828481) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15853984935 + ... + 15853985625.

It is an arithmetic number, because the mean of its divisors is an integer number (24533536896).

Almost surely, 210955103828480 is an apocalyptic number.

10955103828480 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 10955103828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23552195420160).

10955103828480 is an abundant number, since it is smaller than the sum of its proper divisors (36149287011840).

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

10955103828480 is a wasteful number, since it uses less digits than its factorization.

10955103828480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 10955103828480 in words is "ten trillion, nine hundred fifty-five billion, one hundred three million, eight hundred twenty-eight thousand, four hundred eighty".