Search a number
-
+
4278937068 = 2232731217669
BaseRepresentation
bin1111111100001011…
…0110010111101100
3102001012120112011200
43333002312113230
532230401441233
61544332245500
7211015236120
oct37702662754
912035515150
104278937068
1118a639182a
129b5010890
13532656333
142c8403580
151a09c3313
hexff0b65ec

4278937068 has 108 divisors (see below), whose sum is σ = 12773713680. Its totient is φ = 1183049280.

The previous prime is 4278937067. The next prime is 4278937073. The reversal of 4278937068 is 8607398724.

4278937068 is a `hidden beast` number, since 427 + 8 + 93 + 70 + 68 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (4278937067) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 233338 + ... + 251006.

Almost surely, 24278937068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4278937068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6386856840).

4278937068 is an abundant number, since it is smaller than the sum of its proper divisors (8494776612).

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

4278937068 is a wasteful number, since it uses less digits than its factorization.

4278937068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17748 (or 17712 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The square root of 4278937068 is about 65413.5847358941. The cubic root of 4278937068 is about 1623.4738577853.

The spelling of 4278937068 in words is "four billion, two hundred seventy-eight million, nine hundred thirty-seven thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 186 217 252 279 372 434 558 651 868 961 1116 1302 1922 1953 2604 2883 3844 3906 5766 6727 7812 8649 11532 13454 17298 17669 20181 26908 34596 35338 40362 53007 60543 70676 80724 106014 121086 123683 159021 212028 242172 247366 318042 371049 494732 547739 636084 742098 1095478 1113147 1484196 1643217 2190956 2226294 3286434 3834173 4452588 4929651 6572868 7668346 9859302 11502519 15336692 16979909 19718604 23005038 33959818 34507557 46010076 50939727 67919636 69015114 101879454 118859363 138030228 152819181 203758908 237718726 305638362 356578089 475437452 611276724 713156178 1069734267 1426312356 2139468534 4278937068