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106063852932 = 223283915492267
BaseRepresentation
bin110001011000111100…
…1011111010110000100
3101010202202211222200100
41202301321133112010
53214204321243212
6120420340244100
710443234606012
oct1426171372604
9333682758610
10106063852932
1140a88309604
12186806a0630
13a003ba40bb
1451c25318b2
152b5b786bdc
hex18b1e5f584

106063852932 has 72 divisors (see below), whose sum is σ = 268717176000. Its totient is φ = 35274115008.

The previous prime is 106063852919. The next prime is 106063852991. The reversal of 106063852932 is 239258360601.

106063852932 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 638 + 5 + 2 + 9 + 3 + 2 = 666.

It is a super-2 number, since 2×1060638529322 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 46784863 + ... + 46787129.

It is an arithmetic number, because the mean of its divisors is an integer number (3732183000).

Almost surely, 2106063852932 is an apocalyptic number.

106063852932 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106063852932 is an abundant number, since it is smaller than the sum of its proper divisors (162653323068).

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

106063852932 is a wasteful number, since it uses less digits than its factorization.

106063852932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4665 (or 4660 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 106063852932 in words is "one hundred six billion, sixty-three million, eight hundred fifty-two thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 839 1549 1678 2267 2517 3098 3356 4534 4647 5034 6196 6801 7551 9068 9294 10068 13602 13941 15102 18588 20403 27204 27882 30204 40806 55764 81612 1299611 1902013 2599222 3511583 3804026 3898833 5198444 5706039 7023166 7608052 7797666 10534749 11412078 11696499 14046332 15595332 17118117 21069498 22824156 23392998 31604247 34236234 42138996 46785996 63208494 68472468 126416988 2946218137 5892436274 8838654411 11784872548 17677308822 26515963233 35354617644 53031926466 106063852932