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4513046960 = 245315713187
BaseRepresentation
bin1000011001111111…
…11010000110110000
3102122112002112120102
410030333322012300
533220320000320
62023454131532
7216560160212
oct41477720660
912575075512
104513046960
111a06551a84
12a5b4b0ba8
1356bcc41b6
1430b5445b2
151b6319175
hex10cffa1b0

4513046960 has 80 divisors (see below), whose sum is σ = 10853686272. Its totient is φ = 1743379200.

The previous prime is 4513046947. The next prime is 4513046971. The reversal of 4513046960 is 696403154.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1414487 + ... + 1417673.

Almost surely, 24513046960 is an apocalyptic number.

4513046960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4513046960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5426843136).

4513046960 is an abundant number, since it is smaller than the sum of its proper divisors (6340639312).

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

4513046960 is a wasteful number, since it uses less digits than its factorization.

4513046960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3802 (or 3796 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 38.

The square root of 4513046960 is about 67179.2152380481. The cubic root of 4513046960 is about 1652.5576446423.

The spelling of 4513046960 in words is "four billion, five hundred thirteen million, forty-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 571 620 1142 1240 2284 2480 2855 3187 4568 5710 6374 9136 11420 12748 15935 17701 22840 25496 31870 35402 45680 50992 63740 70804 88505 98797 127480 141608 177010 197594 254960 283216 354020 395188 493985 708040 790376 987970 1416080 1580752 1819777 1975940 3639554 3951880 7279108 7903760 9098885 14558216 18197770 29116432 36395540 56413087 72791080 112826174 145582160 225652348 282065435 451304696 564130870 902609392 1128261740 2256523480 4513046960