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81994612149 = 3341239479647
BaseRepresentation
bin100110001011101000…
…0100111110110110101
321211122100022212111000
41030113100213312311
52320411110042044
6101400125033513
75631621463242
oct1142720476665
9254570285430
1081994612149
113185690377a
1213a839b5899
1379694439a8
143d7ba305c9
1521ed669d69
hex1317427db5

81994612149 has 64 divisors (see below), whose sum is σ = 125411328000. Its totient is φ = 52913911680.

The previous prime is 81994612099. The next prime is 81994612171. The reversal of 81994612149 is 94121649918.

81994612149 is a `hidden beast` number, since 8 + 1 + 9 + 9 + 4 + 612 + 14 + 9 = 666.

It is not a de Polignac number, because 81994612149 - 29 = 81994611637 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 81994612095 and 81994612104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81994612549) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 126730144 + ... + 126730790.

It is an arithmetic number, because the mean of its divisors is an integer number (1959552000).

Almost surely, 281994612149 is an apocalyptic number.

It is an amenable number.

81994612149 is a deficient number, since it is larger than the sum of its proper divisors (43416715851).

81994612149 is a wasteful number, since it uses less digits than its factorization.

81994612149 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1415 (or 1409 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 54.

The spelling of 81994612149 in words is "eighty-one billion, nine hundred ninety-four million, six hundred twelve thousand, one hundred forty-nine".

Divisors: 1 3 9 27 41 123 239 369 479 647 717 1107 1437 1941 2151 4311 5823 6453 9799 12933 17469 19639 26527 29397 58917 79581 88191 114481 154633 176751 238743 264573 309913 343443 463899 530253 716229 929739 1030329 1391697 2789217 3090987 4175091 4693721 6339953 8367651 12706433 14081163 19019859 38119299 42243489 57059577 74069207 114357897 126730467 171178731 222207621 343073691 666622863 1999868589 3036837487 9110512461 27331537383 81994612149