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10421914248000 = 26355345711731
BaseRepresentation
bin1001011110101000101001…
…1111110010001101000000
31100220022210010022202200000
42113222022133302031000
52331223040021414000
634055432235400000
72123646515313213
oct227521237621500
940808703282600
1010421914248000
1133589aa992282
121203a05bb3000
135a7a229232c8
142805cd90d77a
1513117067c000
hex97a8a7f2340

10421914248000 has 672 divisors, whose sum is σ = 38749601025408. Its totient is φ = 2772859392000.

The previous prime is 10421914247971. The next prime is 10421914248037. The reversal of 10421914248000 is 84241912401.

10421914248000 is a `hidden beast` number, since 1 + 0 + 42 + 191 + 424 + 8 + 0 + 0 + 0 = 666.

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, 888402135 + ... + 888413865.

It is an arithmetic number, because the mean of its divisors is an integer number (57663096764).

Almost surely, 210421914248000 is an apocalyptic number.

10421914248000 is a gapful number since it is divisible by the number (10) 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 10421914248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19374800512704).

10421914248000 is an abundant number, since it is smaller than the sum of its proper divisors (28327686777408).

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

10421914248000 is an equidigital number, since it uses as much as digits as its factorization.

10421914248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12230 (or 12198 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 10421914248000 in words is "ten trillion, four hundred twenty-one billion, nine hundred fourteen million, two hundred forty-eight thousand".