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1968650300106 = 233747151733841
BaseRepresentation
bin11100101001011100101…
…100111010101011001010
320222012102121212002102000
4130221130230322223022
5224223243434100411
64104215132051430
7262141663311060
oct34513454725312
96865377762360
101968650300106
116999998542a6
12279655003b76
131138486826a9
146b3d70a8030
1536320b47956
hex1ca5cb3aaca

1968650300106 has 128 divisors (see below), whose sum is σ = 5139946782720. Its totient is φ = 546857568000.

The previous prime is 1968650300041. The next prime is 1968650300119. The reversal of 1968650300106 is 6010030568691.

1968650300106 is a `hidden beast` number, since 196 + 8 + 6 + 50 + 300 + 106 = 666.

It is a super-2 number, since 2×19686503001062 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2315746 + ... + 3049586.

It is an arithmetic number, because the mean of its divisors is an integer number (40155834240).

Almost surely, 21968650300106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1968650300106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2569973391360).

1968650300106 is an abundant number, since it is smaller than the sum of its proper divisors (3171296482614).

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

1968650300106 is a wasteful number, since it uses less digits than its factorization.

1968650300106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734057 (or 734051 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

Adding to 1968650300106 its reverse (6010030568691), we get a palindrome (7978680868797).

The spelling of 1968650300106 in words is "one trillion, nine hundred sixty-eight billion, six hundred fifty million, three hundred thousand, one hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 47 54 63 94 126 141 151 189 282 302 329 378 423 453 658 846 906 987 1057 1269 1359 1974 2114 2538 2718 2961 3171 4077 5922 6342 7097 8154 8883 9513 14194 17766 19026 21291 28539 42582 49679 57078 63873 99358 127746 149037 191619 298074 383238 447111 733841 894222 1341333 1467682 2201523 2682666 4403046 5136887 6604569 10273774 13209138 15410661 19813707 30821322 34490527 39627414 46231983 68981054 92463966 103471581 110809991 138695949 206943162 221619982 241433689 277391898 310414743 332429973 482867378 620829486 664859946 724301067 775669937 931244229 997289919 1448602134 1551339874 1862488458 1994579838 2172903201 2327009811 2991869757 4345806402 4654019622 5208069577 5983739514 6518709603 6981029433 10416139154 13037419206 13962058866 15624208731 20943088299 31248417462 36456487039 41886176598 46872626193 72912974078 93745252386 109369461117 140617878579 218738922234 281235757158 328108383351 656216766702 984325150053 1968650300106