Search a number
-
+
10145204612016 = 2431012777554721
BaseRepresentation
bin1001001110100001110101…
…0100010010101110110000
31022220212112202022211001120
42103220131110102232300
52312204334340041031
633324350451502240
72064652425234465
oct223503524225660
938825482284046
1010145204612016
113261614578201
12117a2605b7980
135878c50896a6
1427105da8166c
15128d77a36a96
hex93a1d512bb0

10145204612016 has 80 divisors (see below), whose sum is σ = 26563490431968. Its totient is φ = 3336164352000.

The previous prime is 10145204612003. The next prime is 10145204612047. The reversal of 10145204612016 is 61021640254101.

It is a super-3 number, since 3×101452046120163 (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2434465 + ... + 5120256.

Almost surely, 210145204612016 is an apocalyptic number.

10145204612016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10145204612016 is an abundant number, since it is smaller than the sum of its proper divisors (16418285819952).

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

10145204612016 is a wasteful number, since it uses less digits than its factorization.

10145204612016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7555110 (or 7555104 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

Adding to 10145204612016 its reverse (61021640254101), we get a palindrome (71166844866117).

The spelling of 10145204612016 in words is "ten trillion, one hundred forty-five billion, two hundred four million, six hundred twelve thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 202 277 303 404 554 606 808 831 1108 1212 1616 1662 2216 2424 3324 4432 4848 6648 13296 27977 55954 83931 111908 167862 223816 335724 447632 671448 1342896 7554721 15109442 22664163 30218884 45328326 60437768 90656652 120875536 181313304 362626608 763026821 1526053642 2092657717 2289080463 3052107284 4185315434 4578160926 6104214568 6277973151 8370630868 9156321852 12208429136 12555946302 16741261736 18312643704 25111892604 33482523472 36625287408 50223785208 100447570416 211358429417 422716858834 634075288251 845433717668 1268150576502 1690867435336 2536301153004 3381734870672 5072602306008 10145204612016