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106018881248 = 2572320578199
BaseRepresentation
bin110001010111100110…
…1111011111011100000
3101010122122020012010102
41202233031323323200
53214111313144443
6120412052321532
710442150423150
oct1425715737340
9333578205112
10106018881248
1140a64992725
12186696132a8
139cc7789637
1451ba586760
152b57851cb8
hex18af37bee0

106018881248 has 48 divisors (see below), whose sum is σ = 248913907200. Its totient is φ = 43461154176.

The previous prime is 106018881217. The next prime is 106018881257. The reversal of 106018881248 is 842188810601.

It is a super-2 number, since 2×1060188812482 (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 7 ways as a sum of consecutive naturals, for example, 10283948 + ... + 10294251.

It is an arithmetic number, because the mean of its divisors is an integer number (5185706400).

Almost surely, 2106018881248 is an apocalyptic number.

It is an amenable number.

106018881248 is an abundant number, since it is smaller than the sum of its proper divisors (142895025952).

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

106018881248 is a wasteful number, since it uses less digits than its factorization.

106018881248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20578239 (or 20578231 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 47.

The spelling of 106018881248 in words is "one hundred six billion, eighteen million, eight hundred eighty-one thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 184 224 322 368 644 736 1288 2576 5152 20578199 41156398 82312796 144047393 164625592 288094786 329251184 473298577 576189572 658502368 946597154 1152379144 1893194308 2304758288 3313090039 3786388616 4609516576 6626180078 7572777232 13252360156 15145554464 26504720312 53009440624 106018881248