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54623630144 = 262293727049
BaseRepresentation
bin110010110111110100…
…100111001101000000
312012222210222220210202
4302313310213031000
51343332122131034
641032125544332
73642424124006
oct626764471500
9165883886722
1054623630144
1121190684896
12a7054150a8
1351c6941855
14290281ca76
15164a75447e
hexcb7d27340

54623630144 has 28 divisors (see below), whose sum is σ = 108867130500. Its totient is φ = 27192542208.

The previous prime is 54623630111. The next prime is 54623630177. The reversal of 54623630144 is 44103632645.

54623630144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54623630111) and next prime (54623630177).

It can be written as a sum of positive squares in 2 ways, for example, as 39219841600 + 15403788544 = 198040^2 + 124112^2 .

It is a junction number, because it is equal to n+sod(n) for n = 54623630098 and 54623630107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1848869 + ... + 1878180.

Almost surely, 254623630144 is an apocalyptic number.

It is an amenable number.

54623630144 is a deficient number, since it is larger than the sum of its proper divisors (54243500356).

54623630144 is a wasteful number, since it uses less digits than its factorization.

54623630144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3727290 (or 3727280 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 38.

The spelling of 54623630144 in words is "fifty-four billion, six hundred twenty-three million, six hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 229 458 916 1832 3664 7328 14656 3727049 7454098 14908196 29816392 59632784 119265568 238531136 853494221 1706988442 3413976884 6827953768 13655907536 27311815072 54623630144