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5131801829520 = 2432523417304373
BaseRepresentation
bin100101010101101011100…
…1110011010000010010000
3200011121002002111210110200
41022223113032122002100
51133034412232021040
614525303415055200
71036521555553602
oct112532716320220
920147062453420
105131801829520
1116a942638a8a3
126aa6b2071500
132b2c083497c2
1413a548283172
158d753850630
hex4aad739a090

5131801829520 has 120 divisors (see below), whose sum is σ = 17235093742776. Its totient is φ = 1368417552384.

The previous prime is 5131801829507. The next prime is 5131801829599. The reversal of 5131801829520 is 259281081315.

5131801829520 is a `hidden beast` number, since 5 + 1 + 31 + 80 + 18 + 2 + 9 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1127512680336 + 4004289149184 = 1061844^2 + 2001072^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 16708054 + ... + 17012426.

Almost surely, 25131801829520 is an apocalyptic number.

It is an amenable number.

5131801829520 is an abundant number, since it is smaller than the sum of its proper divisors (12103291913256).

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

5131801829520 is a wasteful number, since it uses less digits than its factorization.

5131801829520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327809 (or 327800 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 5131801829520 in words is "five trillion, one hundred thirty-one billion, eight hundred one million, eight hundred twenty-nine thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 23417 46834 70251 93668 117085 140502 187336 210753 234170 281004 304373 351255 374672 421506 468340 562008 608746 702510 843012 913119 936680 1053765 1124016 1217492 1405020 1521865 1686024 1826238 1873360 2107530 2434984 2739357 2810040 3043730 3372048 3652476 4215060 4565595 4869968 5478714 5620080 6087460 7304952 8430120 9131190 10957428 12174920 13696785 14609904 16860240 18262380 21914856 24349840 27393570 36524760 43829712 54787140 73049520 109574280 219148560 7127502541 14255005082 21382507623 28510010164 35637512705 42765015246 57020020328 64147522869 71275025410 85530030492 106912538115 114040040656 128295045738 142550050820 171060060984 213825076230 256590091476 285100101640 320737614345 342120121968 427650152460 513180182952 570200203280 641475228690 855300304920 1026360365904 1282950457380 1710600609840 2565900914760 5131801829520