Search a number
-
+
48324642384 = 2432344219901
BaseRepresentation
bin101101000000010111…
…111000011001010000
311121201211100012000210
4231000113320121100
51242432102024014
634111112444120
73330346453134
oct550027703120
9147654305023
1048324642384
1119549001087
1294479a9640
134731940965
1424a60213c4
1513cc75c859
hexb405f8650

48324642384 has 80 divisors (see below), whose sum is σ = 130309052544. Its totient is φ = 15402816000.

The previous prime is 48324642371. The next prime is 48324642397.

48324642384 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (48324642371) and next prime (48324642397).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

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, 4875834 + ... + 4885734.

Almost surely, 248324642384 is an apocalyptic number.

It is an amenable number.

48324642384 is an abundant number, since it is smaller than the sum of its proper divisors (81984410160).

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

48324642384 is a wasteful number, since it uses less digits than its factorization.

48324642384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14356 (or 14350 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 48.

The spelling of 48324642384 in words is "forty-eight billion, three hundred twenty-four million, six hundred forty-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 4421 8842 9901 13263 17684 19802 26526 29703 35368 39604 53052 59406 70736 79208 101683 106104 118812 158416 203366 212208 227723 237624 305049 406732 455446 475248 610098 683169 813464 910892 1220196 1366338 1626928 1821784 2440392 2732676 3643568 4880784 5465352 10930704 43772321 87544642 131316963 175089284 262633926 350178568 525267852 700357136 1006763383 1050535704 2013526766 2101071408 3020290149 4027053532 6040580298 8054107064 12081160596 16108214128 24162321192 48324642384