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21154556154150 = 232522347306114207
BaseRepresentation
bin1001100111101011011011…
…10011100001000100100110
32202220100121101120001112100
410303311231303201010212
510233044012333413100
6112554134031232530
74312236423301266
oct463655563410446
982810541501470
1021154556154150
1168166624a6131
122457a8a078746
13ba5b34a36b13
14531c591bb7a6
1526a42a1ad400
hex133d6dce1126

21154556154150 has 288 divisors, whose sum is σ = 60592226992128. Its totient is φ = 5279040518400.

The previous prime is 21154556154119. The next prime is 21154556154169. The reversal of 21154556154150 is 5145165545112.

21154556154150 is a `hidden beast` number, since 2 + 1 + 1 + 5 + 4 + 5 + 56 + 1 + 541 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 21154556154096 and 21154556154105.

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 143 ways as a sum of consecutive naturals, for example, 1489016347 + ... + 1489030553.

It is an arithmetic number, because the mean of its divisors is an integer number (210389677056).

Almost surely, 221154556154150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21154556154150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30296113496064).

21154556154150 is an abundant number, since it is smaller than the sum of its proper divisors (39437670837978).

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

21154556154150 is a wasteful number, since it uses less digits than its factorization.

21154556154150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17356 (or 17348 counting only the distinct ones).

The product of its (nonzero) digits is 600000, while the sum is 45.

The spelling of 21154556154150 in words is "twenty-one trillion, one hundred fifty-four billion, five hundred fifty-six million, one hundred fifty-four thousand, one hundred fifty".