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5040542412 = 2233378914173
BaseRepresentation
bin1001011000111000…
…01001001011001100
3111000021200002022000
410230130021023030
540310334324122
62152100152300
7235623621633
oct45434111314
914007602260
105040542412
112157289134
12b88098690
13624385299
1435b61651a
151e77b40ac
hex12c7092cc

5040542412 has 96 divisors (see below), whose sum is σ = 13573022400. Its totient is φ = 1616288256.

The previous prime is 5040542389. The next prime is 5040542417. The reversal of 5040542412 is 2142450405.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5040542417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 348558 + ... + 362730.

It is an arithmetic number, because the mean of its divisors is an integer number (141385650).

Almost surely, 25040542412 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 5040542412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6786511200).

5040542412 is an abundant number, since it is smaller than the sum of its proper divisors (8532479988).

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

5040542412 is a wasteful number, since it uses less digits than its factorization.

5040542412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14312 (or 14304 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 5040542412 is about 70996.7774761644. Note that the first 3 decimals coincide. The cubic root of 5040542412 is about 1714.5852807557.

Adding to 5040542412 its reverse (2142450405), we get a palindrome (7182992817).

The spelling of 5040542412 in words is "five billion, forty million, five hundred forty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 89 108 111 148 178 222 267 333 356 444 534 666 801 999 1068 1332 1602 1998 2403 3204 3293 3996 4806 6586 9612 9879 13172 14173 19758 28346 29637 39516 42519 56692 59274 85038 88911 118548 127557 170076 177822 255114 355644 382671 510228 524401 765342 1048802 1261397 1530684 1573203 2097604 2522794 3146406 3784191 4719609 5045588 6292812 7568382 9439218 11352573 14158827 15136764 18878436 22705146 28317654 34057719 45410292 46671689 56635308 68115438 93343378 136230876 140015067 186686756 280030134 420045201 560060268 840090402 1260135603 1680180804 2520271206 5040542412