Search a number
-
+
16970122194048 = 273415231074707
BaseRepresentation
bin1111011011110010101000…
…0110101110110010000000
32020002022211222211102120000
43312330222012232302000
54211014302240202143
6100031544433320000
73401023306425522
oct366745206566200
966068758742500
1016970122194048
115452a96628551
121aa0b0b706000
1396137780351a
14429503247a12
151e6672603bd3
hexf6f2a1aec80

16970122194048 has 160 divisors (see below), whose sum is σ = 50536015778160. Its totient is φ = 5652987950592.

The previous prime is 16970122194007. The next prime is 16970122194061. The reversal of 16970122194048 is 84049122107961.

16970122194048 is a `hidden beast` number, since 1 + 6 + 9 + 7 + 0 + 1 + 221 + 9 + 404 + 8 = 666.

16970122194048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 16970122193985 and 16970122194003.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15253111 + ... + 16327817.

Almost surely, 216970122194048 is an apocalyptic number.

16970122194048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16970122194048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25268007889080).

16970122194048 is an abundant number, since it is smaller than the sum of its proper divisors (33565893584112).

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

16970122194048 is a wasteful number, since it uses less digits than its factorization.

16970122194048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076256 (or 1076235 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 16970122194048 in words is "sixteen trillion, nine hundred seventy billion, one hundred twenty-two million, one hundred ninety-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1523 1728 2592 3046 3456 4569 5184 6092 9138 10368 12184 13707 18276 24368 27414 36552 41121 48736 54828 73104 82242 97472 109656 123363 146208 164484 194944 219312 246726 292416 328968 438624 493452 584832 657936 877248 986904 1074707 1315872 1754496 1973808 2149414 2631744 3224121 3947616 4298828 5263488 6448242 7895232 8597656 9672363 12896484 15790464 17195312 19344726 25792968 29017089 34390624 38689452 51585936 58034178 68781248 77378904 87051267 103171872 116068356 137562496 154757808 174102534 206343744 232136712 309515616 348205068 412687488 464273424 619031232 696410136 928546848 1238062464 1392820272 1636778761 1857093696 2785640544 3273557522 3714187392 4910336283 5571281088 6547115044 9820672566 11142562176 13094230088 14731008849 19641345132 26188460176 29462017698 39282690264 44193026547 52376920352 58924035396 78565380528 88386053094 104753840704 117848070792 132579079641 157130761056 176772106188 209507681408 235696141584 265158159282 314261522112 353544212376 471392283168 530316318564 628523044224 707088424752 942784566336 1060632637128 1414176849504 1885569132672 2121265274256 2828353699008 4242530548512 5656707398016 8485061097024 16970122194048