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132251354433460 = 225314144279117497
BaseRepresentation
bin11110000100100000101011…
…000000001000011110110100
3122100021002212021120100021101
4132010200223000020132310
5114313301233213332320
61145135233344455444
736566562564511063
oct3604405300103664
9570232767510241
10132251354433460
1139159536879159
12129bb24701a584
1358a4331691752
142492ddd2b01da
151045264233c0a
hex78482b0087b4

132251354433460 has 96 divisors (see below), whose sum is σ = 293688300165120. Its totient is φ = 49943883724800.

The previous prime is 132251354433409. The next prime is 132251354433461. The reversal of 132251354433460 is 64334453152231.

It is a self number, because there is not a number n which added to its sum of digits gives 132251354433460.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132251354433461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1125513432 + ... + 1125630928.

It is an arithmetic number, because the mean of its divisors is an integer number (3059253126720).

Almost surely, 2132251354433460 is an apocalyptic number.

132251354433460 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 132251354433460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146844150082560).

132251354433460 is an abundant number, since it is smaller than the sum of its proper divisors (161436945731660).

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

132251354433460 is a wasteful number, since it uses less digits than its factorization.

132251354433460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161857 (or 161855 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 46.

The spelling of 132251354433460 in words is "one hundred thirty-two trillion, two hundred fifty-one billion, three hundred fifty-four million, four hundred thirty-three thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 31 41 62 82 124 155 164 205 310 410 620 820 1271 2542 5084 6355 12710 25420 44279 88558 117497 177116 221395 234994 442790 469988 587485 885580 1174970 1372649 1815439 2349940 2745298 3630878 3642407 4817377 5490596 6863245 7261756 7284814 9077195 9634754 13726490 14569628 18154390 18212035 19269508 24086885 27452980 36308780 36424070 48173770 56278609 72848140 96347540 112557218 149338687 225114436 281393045 298677374 562786090 597354748 746693435 1125572180 1493386870 2986773740 5202649663 10405299326 20810598652 26013248315 52026496630 104052993260 161282139553 213308636183 322564279106 426617272366 645128558212 806410697765 853234544732 1066543180915 1612821395530 2133086361830 3225642791060 4266172723660 6612567721673 13225135443346 26450270886692 33062838608365 66125677216730 132251354433460