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14532025500 = 22325317918041
BaseRepresentation
bin11011000100010110…
…10001110010011100
31101111202120101100200
431202023101302130
5214230144304000
610401555423500
71023055115166
oct154213216234
941452511320
1014532025500
116187a49933
1229968b4b90
1314a78c7b75
149bc007936
155a0bc5500
hex3622d1c9c

14532025500 has 144 divisors (see below), whose sum is σ = 46102361760. Its totient is φ = 3853344000.

The previous prime is 14532025499. The next prime is 14532025507. The reversal of 14532025500 is 552023541.

It can be divided in two parts, 145320 and 25500, that added together give a triangular number (170820 = T584).

It is a happy number.

14532025500 is a `hidden beast` number, since 1 + 453 + 202 + 5 + 5 + 0 + 0 = 666.

It is a super-2 number, since 2×145320255002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14532025507) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 796480 + ... + 814520.

It is an arithmetic number, because the mean of its divisors is an integer number (320155290).

Almost surely, 214532025500 is an apocalyptic number.

14532025500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14532025500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23051180880).

14532025500 is an abundant number, since it is smaller than the sum of its proper divisors (31570336260).

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

14532025500 is a wasteful number, since it uses less digits than its factorization.

14532025500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18245 (or 18230 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The spelling of 14532025500 in words is "fourteen billion, five hundred thirty-two million, twenty-five thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 179 180 225 250 300 358 375 450 500 537 716 750 895 900 1074 1125 1500 1611 1790 2148 2250 2685 3222 3580 4475 4500 5370 6444 8055 8950 10740 13425 16110 17900 18041 22375 26850 32220 36082 40275 44750 53700 54123 67125 72164 80550 89500 90205 108246 134250 161100 162369 180410 201375 216492 268500 270615 324738 360820 402750 451025 541230 649476 805500 811845 902050 1082460 1353075 1623690 1804100 2255125 2706150 3229339 3247380 4059225 4510250 5412300 6458678 6765375 8118450 9020500 9688017 12917356 13530750 16146695 16236900 19376034 20296125 27061500 29064051 32293390 38752068 40592250 48440085 58128102 64586780 80733475 81184500 96880170 116256204 145320255 161466950 193760340 242200425 290640510 322933900 403667375 484400850 581281020 726601275 807334750 968801700 1211002125 1453202550 1614669500 2422004250 2906405100 3633006375 4844008500 7266012750 14532025500