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106798948928 = 2671912546869
BaseRepresentation
bin110001101110110110…
…1101010001001000000
3101012200000001201210222
41203131231222021000
53222211012331203
6121021320042212
710500402042020
oct1433555521100
9335600051728
10106798948928
114132524a061
1218846903368
13a0c0280b49
145252003a80
152ba108d038
hex18ddb6a240

106798948928 has 56 divisors (see below), whose sum is σ = 254952398400. Its totient is φ = 43361975808.

The previous prime is 106798948913. The next prime is 106798948931. The reversal of 106798948928 is 829849897601.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×1067989489282 (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 (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6264923 + ... + 6281946.

It is an arithmetic number, because the mean of its divisors is an integer number (4552721400).

Almost surely, 2106798948928 is an apocalyptic number.

It is an amenable number.

106798948928 is an abundant number, since it is smaller than the sum of its proper divisors (148153449472).

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

106798948928 is a wasteful number, since it uses less digits than its factorization.

106798948928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12546907 (or 12546897 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 71.

The spelling of 106798948928 in words is "one hundred six billion, seven hundred ninety-eight million, nine hundred forty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 133 152 224 266 304 448 532 608 1064 1216 2128 4256 8512 12546869 25093738 50187476 87828083 100374952 175656166 200749904 238390511 351312332 401499808 476781022 702624664 802999616 953562044 1405249328 1668733577 1907124088 2810498656 3337467154 3814248176 5620997312 6674934308 7628496352 13349868616 15256992704 26699737232 53399474464 106798948928