Search a number
-
+
4155412820 = 2251352330559
BaseRepresentation
bin1111011110101110…
…1001000101010100
3101201121010211202112
43313223221011110
532002241202240
61524200530152
7204655266116
oct36753510524
911647124675
104155412820
111842693179
1297b780958
13512b97270
142b5c4b3b6
15194c23665
hexf7ae9154

4155412820 has 48 divisors (see below), whose sum is σ = 9415902720. Its totient is φ = 1531322496.

The previous prime is 4155412817. The next prime is 4155412831. The reversal of 4155412820 is 282145514.

It is a super-3 number, since 3×41554128203 (a number of 30 digits) contains 333 as substring.

4155412820 is a Rhonda number in base 15.

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, 120701 + ... + 151259.

It is an arithmetic number, because the mean of its divisors is an integer number (196164640).

Almost surely, 24155412820 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 4155412820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4707951360).

4155412820 is an abundant number, since it is smaller than the sum of its proper divisors (5260489900).

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

4155412820 is a wasteful number, since it uses less digits than its factorization.

4155412820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31104 (or 31102 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 32.

The square root of 4155412820 is about 64462.4915745583. The cubic root of 4155412820 is about 1607.6989388142.

The spelling of 4155412820 in words is "four billion, one hundred fifty-five million, four hundred twelve thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 523 1046 2092 2615 5230 6799 10460 13598 27196 30559 33995 61118 67990 122236 135980 152795 305590 397267 611180 794534 1589068 1986335 3972670 7945340 15982357 31964714 63929428 79911785 159823570 207770641 319647140 415541282 831082564 1038853205 2077706410 4155412820