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106170019728 = 24317312785407
BaseRepresentation
bin110001011100000111…
…0011110111110010000
3101011001011121211010220
41202320032132332100
53214414011112403
6120435051553040
710445664164133
oct1427016367620
9334034554126
10106170019728
1141032232263
12186b015b780
13a01cb967a6
1451d268a21a
152b65c58953
hex18b839ef90

106170019728 has 40 divisors (see below), whose sum is σ = 275857963008. Its totient is φ = 35185437312.

The previous prime is 106170019723. The next prime is 106170019783. The reversal of 106170019728 is 827910071601.

It is a super-2 number, since 2×1061700197282 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106170019728.

It is not an unprimeable number, because it can be changed into a prime (106170019723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6384400 + ... + 6401007.

Almost surely, 2106170019728 is an apocalyptic number.

It is an amenable number.

106170019728 is an abundant number, since it is smaller than the sum of its proper divisors (169687943280).

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

106170019728 is a wasteful number, since it uses less digits than its factorization.

106170019728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12785591 (or 12785585 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 42.

The spelling of 106170019728 in words is "one hundred six billion, one hundred seventy million, nineteen thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 173 346 519 692 1038 1384 2076 2768 4152 8304 12785407 25570814 38356221 51141628 76712442 102283256 153424884 204566512 306849768 613699536 2211875411 4423750822 6635626233 8847501644 13271252466 17695003288 26542504932 35390006576 53085009864 106170019728