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20210123951424 = 2635111731224171
BaseRepresentation
bin1001001100001100010010…
…10000100100110101000000
32122120001212021202012200000
410212012021100210311000
510122110313212421144
6110552222555400000
74154063466110151
oct446061120446500
978501767665600
1020210123951424
11649207a103840
122324a35753000
13b37a63b9b9c4
144dc264b29928
15250aa1eee769
hex126189424d40

20210123951424 has 672 divisors, whose sum is σ = 71629216468992. Its totient is φ = 5578066944000.

The previous prime is 20210123951417. The next prime is 20210123951473. The reversal of 20210123951424 is 42415932101202.

20210123951424 is a `hidden beast` number, since 2 + 0 + 2 + 10 + 123 + 9 + 514 + 2 + 4 = 666.

It is a super-2 number, since 2×202101239514242 (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 90042859 + ... + 90267029.

It is an arithmetic number, because the mean of its divisors is an integer number (106591095936).

Almost surely, 220210123951424 is an apocalyptic number.

20210123951424 is a gapful number since it is divisible by the number (24) 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 20210123951424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35814608234496).

20210123951424 is an abundant number, since it is smaller than the sum of its proper divisors (51419092517568).

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

20210123951424 is a wasteful number, since it uses less digits than its factorization.

20210123951424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224257 (or 224235 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 20210123951424 in words is "twenty trillion, two hundred ten billion, one hundred twenty-three million, nine hundred fifty-one thousand, four hundred twenty-four".