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132151322562432 = 2731972917598877
BaseRepresentation
bin11110000011000011100000…
…101000110100111110000000
3122022220112122212221210012020
4132003003200220310332000
5114310131402033444212
61145021251322401440
736556421652602115
oct3603034050647600
9568815585853166
10132151322562432
1139120074454968
12129a398a660280
135897a7c3a3514
14248c22dd1490c
15104285c300d8c
hex7830e0a34f80

132151322562432 has 128 divisors (see below), whose sum is σ = 352930351767840. Its totient is φ = 43811736772608.

The previous prime is 132151322562377. The next prime is 132151322562439. The reversal of 132151322562432 is 234265223151231.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132151322562439) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 220365778 + ... + 220964654.

Almost surely, 2132151322562432 is an apocalyptic number.

132151322562432 is a gapful number since it is divisible by the number (12) 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 132151322562432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176465175883920).

132151322562432 is an abundant number, since it is smaller than the sum of its proper divisors (220779029205408).

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

132151322562432 is a wasteful number, since it uses less digits than its factorization.

132151322562432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602008 (or 601996 counting only the distinct ones).

The product of its digits is 518400, while the sum is 42.

The spelling of 132151322562432 in words is "one hundred thirty-two trillion, one hundred fifty-one billion, three hundred twenty-two million, five hundred sixty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 197 384 394 591 788 1182 1576 2364 2917 3152 4728 5834 6304 8751 9456 11668 12608 17502 18912 23336 25216 35004 37824 46672 70008 75648 93344 140016 186688 280032 373376 560064 574649 598877 1120128 1149298 1197754 1723947 1796631 2298596 2395508 3447894 3593262 4597192 4791016 6895788 7186524 9194384 9582032 13791576 14373048 18388768 19164064 27583152 28746096 36777536 38328128 55166304 57492192 73555072 76656256 110332608 114984384 117978769 220665216 229968768 235957538 353936307 471915076 707872614 943830152 1415745228 1746924209 1887660304 2831490456 3493848418 3775320608 5240772627 5662980912 6987696836 7550641216 10481545254 11325961824 13975393672 15101282432 20963090508 22651923648 27950787344 41926181016 45303847296 55901574688 83852362032 111803149376 167704724064 223606298752 335409448128 344144069173 670818896256 688288138346 1032432207519 1376576276692 2064864415038 2753152553384 4129728830076 5506305106768 8259457660152 11012610213536 16518915320304 22025220427072 33037830640608 44050440854144 66075661281216 132151322562432