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4848744816 = 2432233474219
BaseRepresentation
bin1001000010000000…
…11111100101110000
3110111220202202110100
410201000133211300
534412234313231
62121045232400
7231104436156
oct44100374560
913456682410
104848744816
112068a98823
12b33a02700
135c3710596
1433dd6b3d6
151d5a2a1e6
hex12101f970

4848744816 has 120 divisors (see below), whose sum is σ = 14203912320. Its totient is φ = 1541155968.

The previous prime is 4848744787. The next prime is 4848744853. The reversal of 4848744816 is 6184478484.

4848744816 is a `hidden beast` number, since 4 + 84 + 87 + 4 + 481 + 6 = 666.

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 23 ways as a sum of consecutive naturals, for example, 1147155 + ... + 1151373.

It is an arithmetic number, because the mean of its divisors is an integer number (118365936).

Almost surely, 24848744816 is an apocalyptic number.

4848744816 is a gapful number since it is divisible by the number (46) 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 4848744816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7101956160).

4848744816 is an abundant number, since it is smaller than the sum of its proper divisors (9355167504).

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

4848744816 is a wasteful number, since it uses less digits than its factorization.

4848744816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4603 (or 4594 counting only the distinct ones).

The product of its digits is 5505024, while the sum is 54.

The square root of 4848744816 is about 69632.9291068529. The cubic root of 4848744816 is about 1692.5562445245.

The spelling of 4848744816 in words is "four billion, eight hundred forty-eight million, seven hundred forty-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 347 368 414 552 694 828 1041 1104 1388 1656 2082 2776 3123 3312 4164 4219 5552 6246 7981 8328 8438 12492 12657 15962 16656 16876 23943 24984 25314 31924 33752 37971 47886 49968 50628 63848 67504 71829 75942 95772 97037 101256 127696 143658 151884 191544 194074 202512 287316 291111 303768 383088 388148 574632 582222 607536 776296 873333 1149264 1164444 1463993 1552592 1746666 2328888 2927986 3493332 4391979 4657776 5855972 6986664 8783958 11711944 13175937 13973328 17567916 23423888 26351874 33671839 35135832 52703748 67343678 70271664 101015517 105407496 134687356 202031034 210814992 269374712 303046551 404062068 538749424 606093102 808124136 1212186204 1616248272 2424372408 4848744816