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10643103341556 = 223728913110911423
BaseRepresentation
bin1001101011100000101001…
…1001001101101111110100
31101200110201011121221010020
42122320022121031233310
52343334033423412211
634345212453325140
72145640010506200
oct232701231155764
941613634557106
1010643103341556
11343379540a044
12123a8559367b0
135c2842a9325a
1428b1b3ba7b00
15136cb8e51306
hex9ae0a64dbf4

10643103341556 has 288 divisors, whose sum is σ = 29483698083840. Its totient is φ = 2978937561600.

The previous prime is 10643103341473. The next prime is 10643103341597. The reversal of 10643103341556 is 65514330134601.

It is a super-2 number, since 2×106431033415562 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 7479341061 + ... + 7479342483.

It is an arithmetic number, because the mean of its divisors is an integer number (102373951680).

Almost surely, 210643103341556 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 10643103341556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14741849041920).

10643103341556 is an abundant number, since it is smaller than the sum of its proper divisors (18840594742284).

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

10643103341556 is a wasteful number, since it uses less digits than its factorization.

10643103341556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2755 (or 2746 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 10643103341556 in words is "ten trillion, six hundred forty-three billion, one hundred three million, three hundred forty-one thousand, five hundred fifty-six".