Search a number
-
+
253504203424 = 25192329625109
BaseRepresentation
bin1110110000011000000…
…1110010101010100000
3220020100010212211112021
43230012001302222200
513123134034002144
6312242550511224
724213033114163
oct3540601625240
9806303784467
10253504203424
119856857213a
124116a065514
131aba006a844
14c3abd85ada
1568da7a6884
hex3b06072aa0

253504203424 has 96 divisors (see below), whose sum is σ = 567099792000. Its totient is φ = 110899160064.

The previous prime is 253504203389. The next prime is 253504203521. The reversal of 253504203424 is 424302405352.

253504203424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 253504203424.

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, 92982 + ... + 718090.

It is an arithmetic number, because the mean of its divisors is an integer number (5907289500).

Almost surely, 2253504203424 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 253504203424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283549896000).

253504203424 is an abundant number, since it is smaller than the sum of its proper divisors (313595588576).

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

253504203424 is a wasteful number, since it uses less digits than its factorization.

253504203424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625190 (or 625182 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 34.

Adding to 253504203424 its reverse (424302405352), we get a palindrome (677806608776).

The spelling of 253504203424 in words is "two hundred fifty-three billion, five hundred four million, two hundred three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 19 23 29 32 38 46 58 76 92 116 152 184 232 304 368 437 464 551 608 667 736 874 928 1102 1334 1748 2204 2668 3496 4408 5336 6992 8816 10672 12673 13984 17632 21344 25346 50692 101384 202768 405536 625109 1250218 2500436 5000872 10001744 11877071 14377507 18128161 20003488 23754142 28755014 36256322 47508284 57510028 72512644 95016568 115020056 145025288 190033136 230040112 273172633 290050576 344435059 380066272 416947703 460080224 546345266 580101152 688870118 833895406 1092690532 1377740236 1667790812 2185381064 2755480472 3335581624 4370762128 5510960944 6671163248 7922006357 8741524256 11021921888 13342326496 15844012714 31688025428 63376050856 126752101712 253504203424