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10953821449332 = 2235173179292251
BaseRepresentation
bin1001111101100110001010…
…1000101110110001110100
31102210011201122120020200000
42133121202220232301310
52413431411242334312
635144041024551300
72210246623033266
oct237314250566164
942704648506600
1010953821449332
113543542708353
12128ab10782530
13615c302bb768
1429c24c59bb36
1513ee0256aadc
hex9f662a2ec74

10953821449332 has 288 divisors, whose sum is σ = 30545721198720. Its totient is φ = 3420444672000.

The previous prime is 10953821449321. The next prime is 10953821449367. The reversal of 10953821449332 is 23394412835901.

It is a happy number.

10953821449332 is a `hidden beast` number, since 1 + 0 + 9 + 5 + 382 + 144 + 93 + 32 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4866201207 + ... + 4866203457.

It is an arithmetic number, because the mean of its divisors is an integer number (106061531940).

Almost surely, 210953821449332 is an apocalyptic number.

10953821449332 is a gapful number since it is divisible by the number (12) 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 10953821449332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15272860599360).

10953821449332 is an abundant number, since it is smaller than the sum of its proper divisors (19591899749388).

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

10953821449332 is a wasteful number, since it uses less digits than its factorization.

10953821449332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3533 (or 3519 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 10953821449332 in words is "ten trillion, nine hundred fifty-three billion, eight hundred twenty-one million, four hundred forty-nine thousand, three hundred thirty-two".