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21935920403136 = 26317291511153371
BaseRepresentation
bin1001111110011010110101…
…01111100101001011000000
32212200001110000020120001110
410333031122233211023000
510333344231110400021
6114353120035003320
74422550361651565
oct477153257451300
985601400216043
1021935920403136
116a97a76221303
1225633b3439540
13c31718b4a78c
1455b9c050486c
1528090c3b6476
hex13f35abe52c0

21935920403136 has 224 divisors, whose sum is σ = 63614386644480. Its totient is φ = 6640111206400.

The previous prime is 21935920403083. The next prime is 21935920403183. The reversal of 21935920403136 is 63130402953912.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142948531 + ... + 143101901.

It is an arithmetic number, because the mean of its divisors is an integer number (283992797520).

Almost surely, 221935920403136 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 21935920403136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31807193322240).

21935920403136 is an abundant number, since it is smaller than the sum of its proper divisors (41678466241344).

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

21935920403136 is a wasteful number, since it uses less digits than its factorization.

21935920403136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154943 (or 154933 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 48.

The spelling of 21935920403136 in words is "twenty-one trillion, nine hundred thirty-five billion, nine hundred twenty million, four hundred three thousand, one hundred thirty-six".