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248532393420 = 22335460245173
BaseRepresentation
bin1110011101110110101…
…1110101110111001100
3212202111122112201101000
43213131223311313030
513032443243042140
6310101343420300
723645602326243
oct3473553656714
9782448481330
10248532393420
1196447069753
1240200bb4690
131a589ccc12c
14c05994195a
1566e906ca30
hex39ddaf5dcc

248532393420 has 48 divisors (see below), whose sum is σ = 773211892320. Its totient is φ = 66275304768.

The previous prime is 248532393397. The next prime is 248532393511. The reversal of 248532393420 is 24393235842.

248532393420 is a `hidden beast` number, since 2 + 4 + 8 + 532 + 3 + 93 + 4 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 230122047 + ... + 230123126.

It is an arithmetic number, because the mean of its divisors is an integer number (16108581090).

Almost surely, 2248532393420 is an apocalyptic number.

248532393420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248532393420 is an abundant number, since it is smaller than the sum of its proper divisors (524679498900).

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

248532393420 is a wasteful number, since it uses less digits than its factorization.

248532393420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460245191 (or 460245183 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 248532393420 in words is "two hundred forty-eight billion, five hundred thirty-two million, three hundred ninety-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 460245173 920490346 1380735519 1840980692 2301225865 2761471038 4142206557 4602451730 5522942076 6903677595 8284413114 9204903460 12426619671 13807355190 16568826228 20711032785 24853239342 27614710380 41422065570 49706478684 62133098355 82844131140 124266196710 248532393420