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106090636248 = 23331059746349
BaseRepresentation
bin110001011001101111…
…1101010001111011000
3101010211122020201111000
41202303133222033120
53214233200324443
6120423134305000
710444011346332
oct1426337521730
9333748221430
10106090636248
1140aa1442283
1218689658160
13a0095c0c0c
1451c5d04452
152b5dcc78d3
hex18b37ea3d8

106090636248 has 64 divisors (see below), whose sum is σ = 294730380000. Its totient is φ = 35359445376.

The previous prime is 106090636207. The next prime is 106090636261. The reversal of 106090636248 is 842636090601.

106090636248 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 9 + 0 + 636 + 2 + 4 + 8 = 666.

It is a super-2 number, since 2×1060906362482 (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 15 ways as a sum of consecutive naturals, for example, 2265778 + ... + 2312126.

Almost surely, 2106090636248 is an apocalyptic number.

106090636248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106090636248 is an abundant number, since it is smaller than the sum of its proper divisors (188639743752).

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

106090636248 is a wasteful number, since it uses less digits than its factorization.

106090636248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56961 (or 56951 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 106090636248 in words is "one hundred six billion, ninety million, six hundred thirty-six thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 10597 21194 31791 42388 46349 63582 84776 92698 95373 127164 139047 185396 190746 254328 278094 286119 370792 381492 417141 556188 572238 762984 834282 1112376 1144476 1251423 1668564 2288952 2502846 3337128 5005692 10011384 491160353 982320706 1473481059 1964641412 2946962118 3929282824 4420443177 5893924236 8840886354 11787848472 13261329531 17681772708 26522659062 35363545416 53045318124 106090636248