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106473787128 = 23321478802599
BaseRepresentation
bin110001100101001010…
…1010000111011111000
3101011211100012210200100
41203022111100323320
53221024242142003
6120525142435400
710456343154312
oct1431225207370
9334740183610
10106473787128
114117874a1a5
1218775a32b60
13a06aab3307
145220b607b2
152b8275dba3
hex18ca550ef8

106473787128 has 24 divisors (see below), whose sum is σ = 288366507000. Its totient is φ = 35491262352.

The previous prime is 106473787097. The next prime is 106473787171. The reversal of 106473787128 is 821787374601.

106473787128 is a `hidden beast` number, since 10 + 6 + 473 + 78 + 71 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×1064737871282 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 739401228 + ... + 739401371.

It is an arithmetic number, because the mean of its divisors is an integer number (12015271125).

Almost surely, 2106473787128 is an apocalyptic number.

106473787128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106473787128 is an abundant number, since it is smaller than the sum of its proper divisors (181892719872).

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

106473787128 is a wasteful number, since it uses less digits than its factorization.

106473787128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1478802611 (or 1478802604 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 106473787128 in words is "one hundred six billion, four hundred seventy-three million, seven hundred eighty-seven thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1478802599 2957605198 4436407797 5915210396 8872815594 11830420792 13309223391 17745631188 26618446782 35491262376 53236893564 106473787128