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12169179904 = 28717537537
BaseRepresentation
bin10110101010101011…
…01111001100000000
31011102002110101112211
423111111233030000
5144410302224104
65331311431504
7610364215420
oct132525571400
934362411484
1012169179904
115185203a82
122437525594
1311bc21a78b
1483629a480
154b353ce04
hex2d556f300

12169179904 has 144 divisors (see below), whose sum is σ = 29952514368. Its totient is φ = 4815323136.

The previous prime is 12169179901. The next prime is 12169179931. The reversal of 12169179904 is 40997196121.

It is not an unprimeable number, because it can be changed into a prime (12169179901) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1610824 + ... + 1618360.

It is an arithmetic number, because the mean of its divisors is an integer number (208003572).

Almost surely, 212169179904 is an apocalyptic number.

12169179904 is a gapful number since it is divisible by the number (14) 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 12169179904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14976257184).

12169179904 is an abundant number, since it is smaller than the sum of its proper divisors (17783334464).

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

12169179904 is an equidigital number, since it uses as much as digits as its factorization.

12169179904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7630 (or 7616 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 49.

The spelling of 12169179904 in words is "twelve billion, one hundred sixty-nine million, one hundred seventy-nine thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 53 56 64 68 106 112 119 128 136 212 224 238 256 272 371 424 448 476 544 742 848 896 901 952 1088 1484 1696 1792 1802 1904 2176 2968 3392 3604 3808 4352 5936 6307 6784 7208 7537 7616 11872 12614 13568 14416 15074 15232 23744 25228 28832 30148 30464 47488 50456 52759 57664 60296 94976 100912 105518 115328 120592 128129 201824 211036 230656 241184 256258 399461 403648 422072 482368 512516 798922 807296 844144 896903 964736 1025032 1597844 1614592 1688288 1793806 1929472 2050064 2796227 3195688 3376576 3587612 4100128 5592454 6391376 6753152 6790837 7175224 8200256 11184908 12782752 13506304 13581674 14350448 16400512 22369816 25565504 27163348 28700896 32801024 44739632 47535859 51131008 54326696 57401792 89479264 95071718 102262016 108653392 114803584 178958528 190143436 217306784 229607168 357917056 380286872 434613568 715834112 760573744 869227136 1521147488 1738454272 3042294976 6084589952 12169179904