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4102066104 = 23319324919
BaseRepresentation
bin1111010010000000…
…1000111110111000
3101120212202112211020
43310200020332320
531400112103404
61515013302440
7203436662253
oct36440107670
911525675736
104102066104
111815566a84
12965934a20
13504b09766
142acb2209a
151901d6ed9
hexf4808fb8

4102066104 has 64 divisors (see below), whose sum is σ = 10825248000. Its totient is φ = 1295337312.

The previous prime is 4102066099. The next prime is 4102066127. The reversal of 4102066104 is 4016602014.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152157 + ... + 177075.

It is an arithmetic number, because the mean of its divisors is an integer number (169144500).

Almost surely, 24102066104 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 4102066104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5412624000).

4102066104 is an abundant number, since it is smaller than the sum of its proper divisors (6723181896).

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

4102066104 is a wasteful number, since it uses less digits than its factorization.

4102066104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24985 (or 24943 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 4102066104 is about 64047.3739040095. The cubic root of 4102066104 is about 1600.7894676906.

Adding to 4102066104 its reverse (4016602014), we get a palindrome (8118668118).

The spelling of 4102066104 in words is "four billion, one hundred two million, sixty-six thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 361 456 722 1083 1444 2166 2888 4332 6859 8664 13718 20577 24919 27436 41154 49838 54872 74757 82308 99676 149514 164616 199352 299028 473461 598056 946922 1420383 1893844 2840766 3787688 5681532 8995759 11363064 17991518 26987277 35983036 53974554 71966072 107949108 170919421 215898216 341838842 512758263 683677684 1025516526 1367355368 2051033052 4102066104