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50300769840 = 24351632634889
BaseRepresentation
bin101110110110001010…
…001101011000110000
311210211112202212021120
4232312022031120300
51311003444113330
635035144022240
73430333326516
oct566612153060
9153745685246
1050300769840
111a372522972
1298b9761980
13498817a049
1426126644b6
151495ea6c10
hexbb628d630

50300769840 has 160 divisors (see below), whose sum is σ = 157517775360. Its totient is φ = 13277841408.

The previous prime is 50300769797. The next prime is 50300769847. The reversal of 50300769840 is 4896700305.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 50300769792 and 50300769801.

It is not an unprimeable number, because it can be changed into a prime (50300769847) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 10286116 + ... + 10291004.

It is an arithmetic number, because the mean of its divisors is an integer number (984486096).

Almost surely, 250300769840 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 50300769840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78758887680).

50300769840 is an abundant number, since it is smaller than the sum of its proper divisors (107217005520).

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

50300769840 is a wasteful number, since it uses less digits than its factorization.

50300769840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5331 (or 5325 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 50300769840 in words is "fifty billion, three hundred million, seven hundred sixty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 163 240 263 326 489 526 652 789 815 978 1052 1304 1315 1578 1630 1956 2104 2445 2608 2630 3156 3260 3912 3945 4208 4889 4890 5260 6312 6520 7824 7890 9778 9780 10520 12624 13040 14667 15780 19556 19560 21040 24445 29334 31560 39112 39120 42869 48890 58668 63120 73335 78224 85738 97780 117336 128607 146670 171476 195560 214345 234672 257214 293340 342952 391120 428690 514428 586680 643035 685904 796907 857380 1028856 1173360 1285807 1286070 1593814 1714760 2057712 2390721 2571614 2572140 3187628 3429520 3857421 3984535 4781442 5143228 5144280 6375256 6429035 7714842 7969070 9562884 10286456 10288560 11953605 12750512 12858070 15429684 15938140 19125768 19287105 20572912 23907210 25716140 30859368 31876280 38251536 38574210 47814420 51432280 61718736 63752560 77148420 95628840 102864560 154296840 191257680 209586541 308593680 419173082 628759623 838346164 1047932705 1257519246 1676692328 2095865410 2515038492 3143798115 3353384656 4191730820 5030076984 6287596230 8383461640 10060153968 12575192460 16766923280 25150384920 50300769840