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198861611008 = 2131713910273
BaseRepresentation
bin1011100100110100010…
…0110110000000000000
3201000022000012112101011
42321031010312000000
511224232033023013
6231204502250304
720236655542444
oct2711504660000
9630260175334
10198861611008
1177378216755
123265a426994
13159a251a018
1498a6c2c824
15528d558c3d
hex2e4d136000

198861611008 has 112 divisors (see below), whose sum is σ = 424163733840. Its totient is φ = 92899639296.

The previous prime is 198861610979. The next prime is 198861611041. The reversal of 198861611008 is 800116168891.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19352560 + ... + 19362832.

It is an arithmetic number, because the mean of its divisors is an integer number (3787176195).

Almost surely, 2198861611008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198861611008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212081866920).

198861611008 is an abundant number, since it is smaller than the sum of its proper divisors (225302122832).

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

198861611008 is a wasteful number, since it uses less digits than its factorization.

198861611008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10455 (or 10431 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 49.

Adding to 198861611008 its reverse (800116168891), we get a palindrome (998977779899).

The spelling of 198861611008 in words is "one hundred ninety-eight billion, eight hundred sixty-one million, six hundred eleven thousand, eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 139 256 272 278 512 544 556 1024 1088 1112 2048 2176 2224 2363 4096 4352 4448 4726 8192 8704 8896 9452 10273 17408 17792 18904 20546 34816 35584 37808 41092 69632 71168 75616 82184 139264 142336 151232 164368 174641 284672 302464 328736 349282 569344 604928 657472 698564 1138688 1209856 1314944 1397128 1427947 2419712 2629888 2794256 2855894 4839424 5259776 5588512 5711788 9678848 10519552 11177024 11423576 19357696 21039104 22354048 22847152 24275099 42078208 44708096 45694304 48550198 84156416 89416192 91388608 97100396 178832384 182777216 194200792 357664768 365554432 388401584 715329536 731108864 776803168 1430659072 1462217728 1553606336 2924435456 3107212672 5848870912 6214425344 11697741824 12428850688 24857701376 49715402752 99430805504 198861611008