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15420314466 = 233794617841
BaseRepresentation
bin11100101110001111…
…10101001101100010
31110210200001010202000
432113013311031202
5223040100030331
611030050504430
71054062340014
oct162707651542
943720033660
1015420314466
1165a3402547
122ba4295116
1315b9950c3b
14a63d961b4
15603b8c0e6
hex3971f5362

15420314466 has 64 divisors (see below), whose sum is σ = 34780838400. Its totient is φ = 5063385600.

The previous prime is 15420314453. The next prime is 15420314467. The reversal of 15420314466 is 66441302451.

15420314466 is a `hidden beast` number, since 1 + 5 + 4 + 203 + 1 + 446 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 15420314466.

It is not an unprimeable number, because it can be changed into a prime (15420314467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1962706 + ... + 1970546.

It is an arithmetic number, because the mean of its divisors is an integer number (543450600).

Almost surely, 215420314466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15420314466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17390419200).

15420314466 is an abundant number, since it is smaller than the sum of its proper divisors (19360523934).

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

15420314466 is a wasteful number, since it uses less digits than its factorization.

15420314466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8392 (or 8386 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 15420314466 in words is "fifteen billion, four hundred twenty million, three hundred fourteen thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 79 158 237 461 474 711 922 1383 1422 2133 2766 4149 4266 7841 8298 12447 15682 23523 24894 36419 47046 70569 72838 109257 141138 211707 218514 327771 423414 619439 655542 983313 1238878 1858317 1966626 3614701 3716634 5574951 7229402 10844103 11149902 16724853 21688206 32532309 33449706 65064618 97596927 195193854 285561379 571122758 856684137 1713368274 2570052411 5140104822 7710157233 15420314466