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10730877408000 = 2834534139999
BaseRepresentation
bin1001110000100111101000…
…1000101101001100000000
31101222212021022000111110000
42130021322020231030000
52401303314104024000
634453410320240000
72155165100662431
oct234117210551400
941885238014400
1010730877408000
113467a375a8322
121253871170000
135cabc06a3a89
1429153d1d7488
15139204b8c000
hex9c27a22d300

10730877408000 has 360 divisors, whose sum is σ = 39932933040000. Its totient is φ = 2861566617600.

The previous prime is 10730877407993. The next prime is 10730877408007. The reversal of 10730877408000 is 80477803701.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10730877407993) and next prime (10730877408007).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10730877408007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 522001 + ... + 4661999.

It is an arithmetic number, because the mean of its divisors is an integer number (110924814000).

Almost surely, 210730877408000 is an apocalyptic number.

10730877408000 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 10730877408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19966466520000).

10730877408000 is an abundant number, since it is smaller than the sum of its proper divisors (29202055632000).

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

10730877408000 is an frugal number, since it uses more digits than its factorization.

10730877408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4140042 (or 4140009 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The spelling of 10730877408000 in words is "ten trillion, seven hundred thirty billion, eight hundred seventy-seven million, four hundred eight thousand".