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1361068416 = 27321769499
BaseRepresentation
bin101000100100000…
…0100000110000000
310111212002102212100
41101020010012000
510241413142131
6343020230400
745504614331
oct12110040600
93455072770
101361068416
11639318934
1231b99b400
13188c9a336
14cca9a288
157e7547e6
hex51204180

1361068416 has 96 divisors (see below), whose sum is σ = 4147065000. Its totient is φ = 426995712.

The previous prime is 1361068409. The next prime is 1361068427. The reversal of 1361068416 is 6148601631.

1361068416 is a `hidden beast` number, since 136 + 106 + 8 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15166 + ... + 54333.

Almost surely, 21361068416 is an apocalyptic number.

1361068416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1361068416 is an abundant number, since it is smaller than the sum of its proper divisors (2785996584).

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

1361068416 is a wasteful number, since it uses less digits than its factorization.

1361068416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69536 (or 69521 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1361068416 is about 36892.6607335389. The cubic root of 1361068416 is about 1108.2217057770.

The spelling of 1361068416 in words is "one billion, three hundred sixty-one million, sixty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 272 288 306 384 408 544 576 612 816 1088 1152 1224 1632 2176 2448 3264 4896 6528 9792 19584 69499 138998 208497 277996 416994 555992 625491 833988 1111984 1181483 1250982 1667976 2223968 2362966 2501964 3335952 3544449 4447936 4725932 5003928 6671904 7088898 8895872 9451864 10007856 10633347 13343808 14177796 18903728 20015712 21266694 26687616 28355592 37807456 40031424 42533388 56711184 75614912 80062848 85066776 113422368 151229824 170133552 226844736 340267104 453689472 680534208 1361068416