Search a number
-
+
16162878072 = 23311419146117
BaseRepresentation
bin11110000110110000…
…11111001001111000
31112201102022021111210
433003120133021320
5231100144044242
611231454323120
71111350124335
oct170330371170
945642267453
1016162878072
116944583580
123170ab94a0
1316a77439a3
14ad484d98c
15648e6ad9c
hex3c361f278

16162878072 has 64 divisors (see below), whose sum is σ = 44186083200. Its totient is φ = 4886119040.

The previous prime is 16162878037. The next prime is 16162878101. The reversal of 16162878072 is 27087826161.

It is a super-2 number, since 2×161628780722 (a number of 21 digits) 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 15 ways as a sum of consecutive naturals, for example, 37558 + ... + 183674.

It is an arithmetic number, because the mean of its divisors is an integer number (690407550).

Almost surely, 216162878072 is an apocalyptic number.

16162878072 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 16162878072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22093041600).

16162878072 is an abundant number, since it is smaller than the sum of its proper divisors (28023205128).

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

16162878072 is a wasteful number, since it uses less digits than its factorization.

16162878072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146556 (or 146552 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 48.

The spelling of 16162878072 in words is "sixteen billion, one hundred sixty-two million, eight hundred seventy-eight thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 419 838 1257 1676 2514 3352 4609 5028 9218 10056 13827 18436 27654 36872 55308 110616 146117 292234 438351 584468 876702 1168936 1607287 1753404 3214574 3506808 4821861 6429148 9643722 12858296 19287444 38574888 61223023 122446046 183669069 244892092 367338138 489784184 673453253 734676276 1346906506 1469352552 2020359759 2693813012 4040719518 5387626024 8081439036 16162878072