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48149086041 = 31272432
BaseRepresentation
bin101100110101111010…
…001011111101011001
311121021121000000000000
4230311322023331121
51242102131223131
634041442003213
73323115323100
oct546572137531
9147247000000
1048149086041
11194689a3aa1
1293b9046509
134704464574
14248a9a3037
1513bc130ce6
hexb35e8bf59

48149086041 has 117 divisors (see below), whose sum is σ = 86014469061. Its totient is φ = 26873908488.

The previous prime is 48149086039. The next prime is 48149086049. The reversal of 48149086041 is 14068094184.

The square root of 48149086041 is 219429.

It is a perfect power (a square), and thus also a powerful number.

48149086041 is a `hidden beast` number, since 4 + 81 + 490 + 86 + 0 + 4 + 1 = 666.

It is not a de Polignac number, because 48149086041 - 21 = 48149086039 is a prime.

It is not an unprimeable number, because it can be changed into a prime (48149086049) by changing a digit.

It is a polite number, since it can be written in 116 ways as a sum of consecutive naturals, for example, 1119746166 + ... + 1119746208.

Almost surely, 248149086041 is an apocalyptic number.

48149086041 is the 219429-th square number.

48149086041 is the 109715-th centered octagonal number.

It is an amenable number.

48149086041 is a deficient number, since it is larger than the sum of its proper divisors (37865383020).

48149086041 is an frugal number, since it uses more digits than its factorization.

48149086041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 48149086041 in words is "forty-eight billion, one hundred forty-nine million, eighty-six thousand, forty-one".

Divisors: 1 3 7 9 21 27 43 49 63 81 129 147 189 243 301 387 441 567 729 903 1161 1323 1701 1849 2107 2187 2709 3483 3969 5103 5547 6321 6561 8127 10449 11907 12943 15309 16641 18963 19683 24381 31347 35721 38829 45927 49923 56889 59049 73143 90601 94041 107163 116487 137781 149769 170667 177147 219429 271803 282123 321489 349461 413343 449307 512001 531441 658287 815409 846369 964467 1048383 1240029 1347921 1536003 1974861 2446227 2539107 2893401 3145149 3720087 4043763 4608009 5924583 7338681 7617321 8680203 9435447 12131289 13824027 17773749 22016043 22851963 26040609 28306341 36393867 41472081 53321247 66048129 84919023 109181601 124416243 159963741 198144387 254757069 327544803 373248729 594433161 764271207 982634409 1119746187 1783299483 2292813621 5349898449 6878440863 16049695347 48149086041