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37890770148 = 223271131440939
BaseRepresentation
bin100011010010011101…
…110100010011100100
310121210200011120002100
4203102131310103210
51110100014121043
625223510412100
72510653142430
oct432235642344
9117720146070
1037890770148
1115084396480
127415661030
13375b0b256a
141b963db9c0
15ebb749cd3
hex8d27744e4

37890770148 has 144 divisors (see below), whose sum is σ = 123265658880. Its totient is φ = 9524260800.

The previous prime is 37890770131. The next prime is 37890770171. The reversal of 37890770148 is 84107709873.

It is a junction number, because it is equal to n+sod(n) for n = 37890770094 and 37890770103.

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 47 ways as a sum of consecutive naturals, for example, 134538 + ... + 306401.

It is an arithmetic number, because the mean of its divisors is an integer number (856011520).

Almost surely, 237890770148 is an apocalyptic number.

It is an amenable number.

37890770148 is an abundant number, since it is smaller than the sum of its proper divisors (85374888732).

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

37890770148 is a wasteful number, since it uses less digits than its factorization.

37890770148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440998 (or 440993 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 37890770148 in words is "thirty-seven billion, eight hundred ninety million, seven hundred seventy thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 31 33 36 42 44 62 63 66 77 84 93 99 124 126 132 154 186 198 217 231 252 279 308 341 372 396 434 462 558 651 682 693 868 924 1023 1116 1302 1364 1386 1953 2046 2387 2604 2772 3069 3906 4092 4774 6138 7161 7812 9548 12276 14322 21483 28644 42966 85932 440939 881878 1322817 1763756 2645634 3086573 3968451 4850329 5291268 6173146 7936902 9259719 9700658 12346292 13669109 14550987 15873804 18519438 19401316 27338218 27779157 29101974 33952303 37038876 41007327 43652961 54676436 55558314 58203948 67904606 82014654 87305922 95683763 101856909 111116628 123021981 135809212 150360199 164029308 174611844 191367526 203713818 246043962 287051289 300720398 305570727 382735052 407427636 451080597 492087924 574102578 601440796 611141454 861153867 902161194 1052521393 1148205156 1222282908 1353241791 1722307734 1804322388 2105042786 2706483582 3157564179 3444615468 4210085572 5412967164 6315128358 9472692537 12630256716 18945385074 37890770148