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4812469416 = 2333191796551
BaseRepresentation
bin1000111101101100…
…00111010010101000
3110102101111202222000
410132312013102220
534323443010131
62113311531000
7230154213036
oct43666072250
913371452860
104812469416
11204a571557
12b23829a60
135b904c151
14339207556
151d2761ce6
hex11ed874a8

4812469416 has 128 divisors (see below), whose sum is σ = 14152320000. Its totient is φ = 1511006400.

The previous prime is 4812469381. The next prime is 4812469421. The reversal of 4812469416 is 6149642184.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 731341 + ... + 737891.

It is an arithmetic number, because the mean of its divisors is an integer number (110565000).

Almost surely, 24812469416 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 4812469416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7076160000).

4812469416 is an abundant number, since it is smaller than the sum of its proper divisors (9339850584).

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

4812469416 is a wasteful number, since it uses less digits than its factorization.

4812469416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6764 (or 6754 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 4812469416 is about 69371.9641930369. The cubic root of 4812469416 is about 1688.3247776579.

The spelling of 4812469416 in words is "four billion, eight hundred twelve million, four hundred sixty-nine thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 179 216 228 342 358 456 513 537 684 716 1026 1074 1368 1432 1611 2052 2148 3222 3401 4104 4296 4833 6444 6551 6802 9666 10203 12888 13102 13604 19332 19653 20406 26204 27208 30609 38664 39306 40812 52408 58959 61218 78612 81624 91827 117918 122436 124469 157224 176877 183654 235836 244872 248938 353754 367308 373407 471672 497876 707508 734616 746814 995752 1120221 1172629 1415016 1493628 2240442 2345258 2987256 3360663 3517887 4480884 4690516 6721326 7035774 8961768 9381032 10553661 13442652 14071548 21107322 22279951 26885304 28143096 31660983 42214644 44559902 63321966 66839853 84429288 89119804 126643932 133679706 178239608 200519559 253287864 267359412 401039118 534718824 601558677 802078236 1203117354 1604156472 2406234708 4812469416