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10243023893760 = 2835717103283769
BaseRepresentation
bin1001010100001110001111…
…0011001111010100000000
31100021020000221120012020110
42111003203303033110000
52320310203104100020
633441325154311320
72105014452352020
oct225034363172400
940236027505213
1010243023893760
11329a050a53409
1211951bbb88540
13593bb3b58ca8
14275a9d243a80
1512b6a05b28e0
hex950e3ccf500

10243023893760 has 1152 divisors, whose sum is σ = 40164007403520. Its totient is φ = 2171609284608.

The previous prime is 10243023893759. The next prime is 10243023893761. The reversal of 10243023893760 is 6739832034201.

It is an interprime number because it is at equal distance from previous prime (10243023893759) and next prime (10243023893761).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10243023893761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13319926656 + ... + 13319927424.

It is an arithmetic number, because the mean of its divisors is an integer number (34864589760).

Almost surely, 210243023893760 is an apocalyptic number.

10243023893760 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 10243023893760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20082003701760).

10243023893760 is an abundant number, since it is smaller than the sum of its proper divisors (29920983509760).

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

10243023893760 is a wasteful number, since it uses less digits than its factorization.

10243023893760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The spelling of 10243023893760 in words is "ten trillion, two hundred forty-three billion, twenty-three million, eight hundred ninety-three thousand, seven hundred sixty".