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1148720942656 = 2672191392
BaseRepresentation
bin10000101101110101000…
…110101000111001000000
311001211001100010002112101
4100231311012220321000
5122310040030131111
62235414244240144
7145664242623100
oct20556506507100
94054040102471
101148720942656
11403196030361
121667683a0054
1384429863521
143d853da9200
151ed32de0bc1
hex10b751a8e40

1148720942656 has 63 divisors (see below), whose sum is σ = 2651793817179. Its totient is φ = 492283252608.

The previous prime is 1148720942617. The next prime is 1148720942659. The reversal of 1148720942656 is 6562490278411.

The square root of 1148720942656 is 1071784.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1148720942597 and 1148720942606.

It is not an unprimeable number, because it can be changed into a prime (1148720942659) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 60010335 + ... + 60029473.

Almost surely, 21148720942656 is an apocalyptic number.

1148720942656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1148720942656 is the 1071784-th square number.

It is an amenable number.

1148720942656 is an abundant number, since it is smaller than the sum of its proper divisors (1503072874523).

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

1148720942656 is an frugal number, since it uses more digits than its factorization.

1148720942656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38304 (or 19148 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 55.

The spelling of 1148720942656 in words is "one trillion, one hundred forty-eight billion, seven hundred twenty million, nine hundred forty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 19139 38278 76556 133973 153112 267946 306224 535892 612448 937811 1071784 1224896 1875622 2143568 3751244 4287136 7502488 8574272 15004976 30009952 60019904 366301321 732602642 1465205284 2564109247 2930410568 5128218494 5860821136 10256436988 11721642272 17948764729 20512873976 23443284544 35897529458 41025747952 71795058916 82051495904 143590117832 164102991808 287180235664 574360471328 1148720942656