Search a number
-
+
58625968384 = 283724092
BaseRepresentation
bin110110100110011000…
…010100100100000000
312121022202002202201101
4312212120110210000
51430031221442014
642533221544144
74143543336424
oct664630244400
9177282082641
1058625968384
1122954915845
12b441875054
1356b3ba1629
142ba21c0b84
1517d1cdc474
hexda6614900

58625968384 has 81 divisors (see below), whose sum is σ = 120565972107. Its totient is φ = 28451008512.

The previous prime is 58625968367. The next prime is 58625968397. The reversal of 58625968384 is 48386952685.

The square root of 58625968384 is 242128.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 38384646400 + 20241321984 = 195920^2 + 142272^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 143339572 + ... + 143339980.

Almost surely, 258625968384 is an apocalyptic number.

58625968384 is the 242128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58625968384

58625968384 is an abundant number, since it is smaller than the sum of its proper divisors (61940003723).

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

58625968384 is an frugal number, since it uses more digits than its factorization.

58625968384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 448 counting only the distinct ones).

The product of its digits is 99532800, while the sum is 64.

Multiplying 58625968384 by its sum of digits (64), we get a square (3752061976576 = 19370242).

58625968384 divided by its sum of digits (64) gives a square (916030756 = 302662).

The spelling of 58625968384 in words is "fifty-eight billion, six hundred twenty-five million, nine hundred sixty-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 409 592 818 1184 1369 1636 2368 2738 3272 4736 5476 6544 9472 10952 13088 15133 21904 26176 30266 43808 52352 60532 87616 104704 121064 167281 175232 242128 334562 350464 484256 559921 669124 968512 1119842 1338248 1937024 2239684 2676496 3874048 4479368 5352992 6189397 8958736 10705984 12378794 17917472 21411968 24757588 35834944 42823936 49515176 71669888 99030352 143339776 198060704 229007689 396121408 458015378 792242816 916030756 1584485632 1832061512 3664123024 7328246048 14656492096 29312984192 58625968384