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4965953720 = 2357135325741
BaseRepresentation
bin1001001111111111…
…00111000010111000
3110211002022120211212
410213333213002320
540132241004340
62140433342252
7234026624120
oct44777470270
913732276755
104965953720
112119173592
12b67107988
13611a9ac70
1435175bc80
151e0e7da65
hex127fe70b8

4965953720 has 128 divisors (see below), whose sum is σ = 14011885440. Its totient is φ = 1541928960.

The previous prime is 4965953719. The next prime is 4965953731. The reversal of 4965953720 is 273595694.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180050 + ... + 205790.

It is an arithmetic number, because the mean of its divisors is an integer number (109467855).

Almost surely, 24965953720 is an apocalyptic number.

4965953720 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 4965953720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7005942720).

4965953720 is an abundant number, since it is smaller than the sum of its proper divisors (9045931720).

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

4965953720 is a wasteful number, since it uses less digits than its factorization.

4965953720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25825 (or 25821 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 50.

The square root of 4965953720 is about 70469.5233416546. The cubic root of 4965953720 is about 1706.0858824646.

The spelling of 4965953720 in words is "four billion, nine hundred sixty-five million, nine hundred fifty-three thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 53 56 65 70 91 104 106 130 140 182 212 260 265 280 364 371 424 455 520 530 689 728 742 910 1060 1378 1484 1820 1855 2120 2756 2968 3445 3640 3710 4823 5512 6890 7420 9646 13780 14840 19292 24115 25741 27560 38584 48230 51482 96460 102964 128705 180187 192920 205928 257410 334633 360374 514820 669266 720748 900935 1029640 1338532 1364273 1441496 1673165 1801870 2342431 2677064 2728546 3346330 3603740 4684862 5457092 6692660 6821365 7207480 9369724 9549911 10914184 11712155 13385320 13642730 17735549 18739448 19099822 23424310 27285460 35471098 38199644 46848620 47749555 54570920 70942196 76399288 88677745 93697240 95499110 124148843 141884392 177355490 190998220 248297686 354710980 381996440 496595372 620744215 709421960 993190744 1241488430 2482976860 4965953720