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132552250320 = 24357242332563
BaseRepresentation
bin111101101110010111…
…0101101001111010000
3110200010210102222212110
41323130232231033100
54132431334002240
6140521010425320
712401524352250
oct1733456551720
9420123388773
10132552250320
1151240320616
1221833592240
13c665899719
1465b643b960
1536abe60c80
hex1edcbad3d0

132552250320 has 160 divisors (see below), whose sum is σ = 469821929472. Its totient is φ = 30284222976.

The previous prime is 132552250307. The next prime is 132552250357. The reversal of 132552250320 is 23052255231.

132552250320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 4054359 + ... + 4086921.

Almost surely, 2132552250320 is an apocalyptic number.

132552250320 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 132552250320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234910964736).

132552250320 is an abundant number, since it is smaller than the sum of its proper divisors (337269679152).

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

132552250320 is a wasteful number, since it uses less digits than its factorization.

132552250320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35009 (or 35003 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The spelling of 132552250320 in words is "one hundred thirty-two billion, five hundred fifty-two million, two hundred fifty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 2423 4846 7269 9692 12115 14538 16961 19384 24230 29076 32563 33922 36345 38768 48460 50883 58152 65126 67844 72690 84805 96920 97689 101766 116304 130252 135688 145380 162815 169610 193840 195378 203532 227941 254415 260504 271376 290760 325630 339220 390756 407064 455882 488445 508830 521008 581520 651260 678440 683823 781512 814128 911764 976890 1017660 1139705 1302520 1356880 1367646 1563024 1823528 1953780 2035320 2279410 2605040 2735292 3419115 3647056 3907560 4070640 4558820 5470584 6838230 7815120 9117640 10941168 13676460 18235280 27352920 54705840 78900149 157800298 236700447 315600596 394500745 473400894 552301043 631201192 789001490 946801788 1104602086 1183502235 1262402384 1578002980 1656903129 1893603576 2209204172 2367004470 2761505215 3156005960 3313806258 3787207152 4418408344 4734008940 5523010430 6312011920 6627612516 8284515645 8836816688 9468017880 11046020860 13255225032 16569031290 18936035760 22092041720 26510450064 33138062580 44184083440 66276125160 132552250320