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10416526644101 = 233307136949641
BaseRepresentation
bin1001011110010100100101…
…0111101101001110000101
31100212210212122121010111212
42113211021113231032011
52331131021310102401
634053141500341205
72123366145403214
oct227451127551605
940783778533455
1010416526644101
113356695806776
121202961844805
135a73746a34c6
1428023c19307b
15130e576aedbb
hex979495ed385

10416526644101 has 8 divisors (see below), whose sum is σ = 10872705977664. Its totient is φ = 9960621216480.

The previous prime is 10416526644049. The next prime is 10416526644107. The reversal of 10416526644101 is 10144662561401.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10416526644101 - 210 = 10416526643077 is a prime.

It is a super-2 number, since 2×104165266441012 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10416526644107) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 68398760 + ... + 68550881.

It is an arithmetic number, because the mean of its divisors is an integer number (1359088247208).

Almost surely, 210416526644101 is an apocalyptic number.

It is an amenable number.

10416526644101 is a deficient number, since it is larger than the sum of its proper divisors (456179333563).

10416526644101 is a wasteful number, since it uses less digits than its factorization.

10416526644101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136952971.

The product of its (nonzero) digits is 138240, while the sum is 41.

The spelling of 10416526644101 in words is "ten trillion, four hundred sixteen billion, five hundred twenty-six million, six hundred forty-four thousand, one hundred one".

Divisors: 1 23 3307 76061 136949641 3149841743 452892462787 10416526644101