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10054454058936 = 23357772795621
BaseRepresentation
bin1001001001001111110000…
…1010011001111110111000
31022121012022012011001200000
42102103330022121332320
52304213010214341221
633214541420313000
72055260513246520
oct222237412317670
938535265131600
1010054454058936
113227085219511
1211647543a2760
1357c191907c81
1426a8d120a680
1512681584de26
hex924fc299fb8

10054454058936 has 192 divisors, whose sum is σ = 32278070522880. Its totient is φ = 2872299346560.

The previous prime is 10054454058893. The next prime is 10054454058937. The reversal of 10054454058936 is 63985045445001.

10054454058936 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 4 + 4 + 54 + 0 + 589 + 3 + 6 = 666.

It is a super-2 number, since 2×100544540589362 (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10054454058937) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 105101206 + ... + 105196826.

It is an arithmetic number, because the mean of its divisors is an integer number (168114950640).

Almost surely, 210054454058936 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 10054454058936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16139035261440).

10054454058936 is an abundant number, since it is smaller than the sum of its proper divisors (22223616463944).

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

10054454058936 is an equidigital number, since it uses as much as digits as its factorization.

10054454058936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103376 (or 103360 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 10054454058936 in words is "ten trillion, fifty-four billion, four hundred fifty-four million, fifty-eight thousand, nine hundred thirty-six".