Search a number
-
+
60431214816 = 2532747637783
BaseRepresentation
bin111000010001111110…
…110010100011100000
312202222112222210021100
4320101332302203200
51442230342333231
643432310354400
74236353564520
oct702176624340
9182875883240
1060431214816
11236a0933145
12b86635ba00
135910baa69b
142cd3c61680
15188a5301e6
hexe11fb28e0

60431214816 has 144 divisors (see below), whose sum is σ = 200580516864. Its totient is φ = 16898671872.

The previous prime is 60431214803. The next prime is 60431214839. The reversal of 60431214816 is 61841213406.

60431214816 is a `hidden beast` number, since 6 + 0 + 431 + 214 + 8 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224140 + ... + 413643.

It is an arithmetic number, because the mean of its divisors is an integer number (1392920256).

Almost surely, 260431214816 is an apocalyptic number.

It is an amenable number.

60431214816 is an abundant number, since it is smaller than the sum of its proper divisors (140149302048).

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

60431214816 is a wasteful number, since it uses less digits than its factorization.

60431214816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637853 (or 637842 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 60431214816 in words is "sixty billion, four hundred thirty-one million, two hundred fourteen thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 47 48 56 63 72 84 94 96 112 126 141 144 168 188 224 252 282 288 329 336 376 423 504 564 658 672 752 846 987 1008 1128 1316 1504 1692 1974 2016 2256 2632 2961 3384 3948 4512 5264 5922 6768 7896 10528 11844 13536 15792 23688 31584 47376 94752 637783 1275566 1913349 2551132 3826698 4464481 5102264 5740047 7653396 8928962 10204528 11480094 13393443 15306792 17857924 20409056 22960188 26786886 29975801 30613584 35715848 40180329 45920376 53573772 59951602 61227168 71431696 80360658 89927403 91840752 107147544 119903204 142863392 160721316 179854806 183681504 209830607 214295088 239806408 269782209 321442632 359709612 419661214 428590176 479612816 539564418 629491821 642885264 719419224 839322428 959225632 1079128836 1258983642 1285770528 1438838448 1678644856 1888475463 2158257672 2517967284 2877676896 3357289712 3776950926 4316515344 5035934568 6714579424 7553901852 8633030688 10071869136 15107803704 20143738272 30215607408 60431214816