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196696512 = 2634191997
BaseRepresentation
bin10111011100101…
…01100111000000
3111201010012220000
423232111213000
5400323242022
631303520000
74605615135
oct1356254700
9451105800
10196696512
11a1037001
1255a59000
133199b78c
141c1a258c
15124056ac
hexbb959c0

196696512 has 140 divisors (see below), whose sum is σ = 614065320. Its totient is φ = 62083584.

The previous prime is 196696469. The next prime is 196696541. The reversal of 196696512 is 215696691.

It is a happy number.

196696512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1966965122 = 77379035665932288, which contains 22 as substring.

It is a congruent number.

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, 97498 + ... + 99494.

Almost surely, 2196696512 is an apocalyptic number.

196696512 is a gapful number since it is divisible by the number (12) 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 196696512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307032660).

196696512 is an abundant number, since it is smaller than the sum of its proper divisors (417368808).

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

196696512 is a wasteful number, since it uses less digits than its factorization.

196696512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2040 (or 2021 counting only the distinct ones).

The product of its digits is 174960, while the sum is 45.

The square root of 196696512 is about 14024.8533682174. The cubic root of 196696512 is about 581.5658362601.

The spelling of 196696512 in words is "one hundred ninety-six million, six hundred ninety-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 81 96 108 114 144 152 162 171 192 216 228 288 304 324 342 432 456 513 576 608 648 684 864 912 1026 1216 1296 1368 1539 1728 1824 1997 2052 2592 2736 3078 3648 3994 4104 5184 5472 5991 6156 7988 8208 10944 11982 12312 15976 16416 17973 23964 24624 31952 32832 35946 37943 47928 49248 53919 63904 71892 75886 95856 98496 107838 113829 127808 143784 151772 161757 191712 215676 227658 287568 303544 323514 341487 383424 431352 455316 575136 607088 647028 682974 862704 910632 1024461 1150272 1214176 1294056 1365948 1725408 1821264 2048922 2428352 2588112 2731896 3073383 3450816 3642528 4097844 5176224 5463792 6146766 7285056 8195688 10352448 10927584 12293532 16391376 21855168 24587064 32782752 49174128 65565504 98348256 196696512