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5141235564 = 223522323719
BaseRepresentation
bin1001100100111000…
…10000011101101100
3111021022010211100000
410302130100131230
541012124014224
62210054304300
7241255531653
oct46234203554
914238124300
105141235564
1121a9103413
12bb5958090
1363c1ac42a
1436ab4819a
152015540c9
hex13271076c

5141235564 has 72 divisors (see below), whose sum is σ = 13538237440. Its totient is φ = 1705988304.

The previous prime is 5141235527. The next prime is 5141235587. The reversal of 5141235564 is 4655321415.

5141235564 is a `hidden beast` number, since 51 + 4 + 12 + 35 + 564 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204897 + ... + 228615.

Almost surely, 25141235564 is an apocalyptic number.

5141235564 is a gapful number since it is divisible by the number (54) 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 5141235564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6769118720).

5141235564 is an abundant number, since it is smaller than the sum of its proper divisors (8397001876).

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

5141235564 is a wasteful number, since it uses less digits than its factorization.

5141235564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23961 (or 23947 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 5141235564 is about 71702.4097503006. The cubic root of 5141235564 is about 1725.9273108666.

Adding to 5141235564 its reverse (4655321415), we get a palindrome (9796556979).

The spelling of 5141235564 in words is "five billion, one hundred forty-one million, two hundred thirty-five thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 223 243 324 446 486 669 892 972 1338 2007 2676 4014 6021 8028 12042 18063 23719 24084 36126 47438 54189 71157 72252 94876 108378 142314 213471 216756 284628 426942 640413 853884 1280826 1921239 2561652 3842478 5289337 5763717 7684956 10578674 11527434 15868011 21157348 23054868 31736022 47604033 63472044 95208066 142812099 190416132 285624198 428436297 571248396 856872594 1285308891 1713745188 2570617782 5141235564