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1513222464 = 263134391381
BaseRepresentation
bin101101000110001…
…1111000101000000
310220110101122222110
41122030133011000
511044341104324
6410053335320
752333115205
oct13214370500
93813348873
101513222464
117071a1486
12362937540
131b1671810
14104d85cac
158ccac329
hex5a31f140

1513222464 has 112 divisors (see below), whose sum is σ = 4324664960. Its totient is φ = 464209920.

The previous prime is 1513222423. The next prime is 1513222489. The reversal of 1513222464 is 4642223151.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 1095054 + ... + 1096434.

It is an arithmetic number, because the mean of its divisors is an integer number (38613080).

Almost surely, 21513222464 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 1513222464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2162332480).

1513222464 is an abundant number, since it is smaller than the sum of its proper divisors (2811442496).

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

1513222464 is a wasteful number, since it uses less digits than its factorization.

1513222464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848 (or 1838 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 1513222464 is about 38900.1602053256. The cubic root of 1513222464 is about 1148.0679503459.

The spelling of 1513222464 in words is "one billion, five hundred thirteen million, two hundred twenty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 439 624 832 878 1248 1317 1381 1756 2496 2634 2762 3512 4143 5268 5524 5707 7024 8286 10536 11048 11414 14048 16572 17121 17953 21072 22096 22828 28096 33144 34242 35906 42144 44192 45656 53859 66288 68484 71812 84288 88384 91312 107718 132576 136968 143624 182624 215436 265152 273936 287248 365248 430872 547872 574496 606259 861744 1095744 1148992 1212518 1723488 1818777 2425036 3446976 3637554 4850072 7275108 7881367 9700144 14550216 15762734 19400288 23644101 29100432 31525468 38800576 47288202 58200864 63050936 94576404 116401728 126101872 189152808 252203744 378305616 504407488 756611232 1513222464