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52154014240 = 255618960041
BaseRepresentation
bin110000100100100111…
…110001101000100000
311222121200222102200001
4300210213301220200
51323302411423430
635543105305344
73524265543436
oct604447615040
9158550872601
1052154014240
1120133643909
12a136335254
134bc20c0173
14274a83ad56
151553a2b3ca
hexc249f1a20

52154014240 has 96 divisors (see below), whose sum is σ = 126642988080. Its totient is φ = 20288716800.

The previous prime is 52154014217. The next prime is 52154014307. The reversal of 52154014240 is 4241045125.

It can be written as a sum of positive squares in 8 ways, for example, as 17749699984 + 34404314256 = 133228^2 + 185484^2 .

It is a super-2 number, since 2×521540142402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 52154014199 and 52154014208.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 838620 + ... + 898660.

Almost surely, 252154014240 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 52154014240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63321494040).

52154014240 is an abundant number, since it is smaller than the sum of its proper divisors (74488973840).

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

52154014240 is a wasteful number, since it uses less digits than its factorization.

52154014240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60206 (or 60198 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

Adding to 52154014240 its reverse (4241045125), we get a palindrome (56395059365).

The spelling of 52154014240 in words is "fifty-two billion, one hundred fifty-four million, fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 80 89 122 160 178 244 305 356 445 488 610 712 890 976 1220 1424 1780 1952 2440 2848 3560 4880 5429 7120 9760 10858 14240 21716 27145 43432 54290 60041 86864 108580 120082 173728 217160 240164 300205 434320 480328 600410 868640 960656 1200820 1921312 2401640 3662501 4803280 5343649 7325002 9606560 10687298 14650004 18312505 21374596 26718245 29300008 36625010 42749192 53436490 58600016 73250020 85498384 106872980 117200032 146500040 170996768 213745960 293000080 325962589 427491920 586000160 651925178 854983840 1303850356 1629812945 2607700712 3259625890 5215401424 6519251780 10430802848 13038503560 26077007120 52154014240