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653145012 = 223313895227
BaseRepresentation
bin100110111011100…
…011001110110100
31200112000012112000
4212323203032310
52314201120022
6144451055300
722120432602
oct4673431664
91615005460
10653145012
11305757573
121628a1530
13a5415650
1462a5c872
153c5196ac
hex26ee33b4

653145012 has 96 divisors (see below), whose sum is σ = 1844438400. Its totient is φ = 198671616.

The previous prime is 653144971. The next prime is 653145019. The reversal of 653145012 is 210541356.

653145012 is a `hidden beast` number, since 653 + 1 + 4 + 5 + 0 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (653145019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122343 + ... + 127569.

It is an arithmetic number, because the mean of its divisors is an integer number (19212900).

Almost surely, 2653145012 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 653145012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922219200).

653145012 is an abundant number, since it is smaller than the sum of its proper divisors (1191293388).

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

653145012 is a wasteful number, since it uses less digits than its factorization.

653145012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5342 (or 5334 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 653145012 is about 25556.7018998931. The cubic root of 653145012 is about 867.6339516374.

Adding to 653145012 its reverse (210541356), we get a palindrome (863686368).

The spelling of 653145012 in words is "six hundred fifty-three million, one hundred forty-five thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 89 108 117 156 178 234 267 351 356 468 534 702 801 1068 1157 1404 1602 2314 2403 3204 3471 4628 4806 5227 6942 9612 10413 10454 13884 15681 20826 20908 31239 31362 41652 47043 62478 62724 67951 94086 124956 135902 141129 188172 203853 271804 282258 407706 465203 564516 611559 815412 930406 1223118 1395609 1834677 1860812 2446236 2791218 3669354 4186827 5582436 6047639 7338708 8373654 12095278 12560481 16747308 18142917 24190556 25120962 36285834 50241924 54428751 72571668 108857502 163286253 217715004 326572506 653145012