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48661066116 = 223313151229529
BaseRepresentation
bin101101010100011011…
…001111000110000100
311122121021101021122000
4231110123033012010
51244124213103431
634204331305300
73341603144265
oct552433170604
9148537337560
1048661066116
11197009a3223
1295205ab230
134786552560
1424d899696c
1513ec0639e6
hexb546cf184

48661066116 has 96 divisors (see below), whose sum is σ = 136763155200. Its totient is φ = 14873414400.

The previous prime is 48661066109. The next prime is 48661066219. The reversal of 48661066116 is 61166016684.

It is a happy number.

48661066116 is a `hidden beast` number, since 486 + 6 + 106 + 61 + 1 + 6 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 97240 + ... + 326768.

It is an arithmetic number, because the mean of its divisors is an integer number (1424616200).

Almost surely, 248661066116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48661066116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68381577600).

48661066116 is an abundant number, since it is smaller than the sum of its proper divisors (88102089084).

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

48661066116 is a wasteful number, since it uses less digits than its factorization.

48661066116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229706 (or 229698 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 48661066116 in words is "forty-eight billion, six hundred sixty-one million, sixty-six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 151 156 234 302 351 453 468 604 702 906 1359 1404 1812 1963 2718 3926 4077 5436 5889 7852 8154 11778 16308 17667 23556 35334 53001 70668 106002 212004 229529 459058 688587 918116 1377174 2065761 2754348 2983877 4131522 5967754 6197283 8263044 8951631 11935508 12394566 17903262 24789132 26854893 34658879 35806524 53709786 69317758 80564679 103976637 107419572 138635516 161129358 207953274 311929911 322258716 415906548 450565427 623859822 901130854 935789733 1247719644 1351696281 1802261708 1871579466 2703392562 3743158932 4055088843 5406785124 8110177686 12165266529 16220355372 24330533058 48661066116