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4815342816 = 253299071907
BaseRepresentation
bin1000111110000010…
…00100110011100000
3110102120220202112020
410133001010303200
534330211432231
62113453301440
7230220511224
oct43701046340
913376822466
104815342816
112051154369
12b24794880
135b9816c9b
14339754784
151d2b2d396
hex11f044ce0

4815342816 has 96 divisors (see below), whose sum is σ = 13097427840. Its totient is φ = 1547245056.

The previous prime is 4815342799. The next prime is 4815342817. The reversal of 4815342816 is 6182435184.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4815342817) by changing a digit.

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, 2524135 + ... + 2526041.

It is an arithmetic number, because the mean of its divisors is an integer number (136431540).

Almost surely, 24815342816 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 4815342816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6548713920).

4815342816 is an abundant number, since it is smaller than the sum of its proper divisors (8282085024).

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

4815342816 is a wasteful number, since it uses less digits than its factorization.

4815342816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2856 (or 2848 counting only the distinct ones).

The product of its digits is 184320, while the sum is 42.

The square root of 4815342816 is about 69392.6711980451. The cubic root of 4815342816 is about 1688.6607290377.

The spelling of 4815342816 in words is "four billion, eight hundred fifteen million, three hundred forty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 907 928 1392 1814 1907 2721 2784 3628 3814 5442 5721 7256 7628 10884 11442 14512 15256 21768 22884 26303 29024 30512 43536 45768 52606 55303 61024 78909 87072 91536 105212 110606 157818 165909 183072 210424 221212 315636 331818 420848 442424 631272 663636 841696 884848 1262544 1327272 1729649 1769696 2525088 2654544 3459298 5188947 5309088 6918596 10377894 13837192 20755788 27674384 41511576 50159821 55348768 83023152 100319642 150479463 166046304 200639284 300958926 401278568 601917852 802557136 1203835704 1605114272 2407671408 4815342816