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132232406416 = 241117322913687
BaseRepresentation
bin111101100100110101…
…0100110010110010000
3110122022111121020111221
41323021222212112100
54131302444001131
6140425143214424
712360561623605
oct1731152462620
9418274536457
10132232406416
1151096823110
1221764447414
13c614541586
146585b806ac
15368dd32411
hex1ec9aa6590

132232406416 has 80 divisors (see below), whose sum is σ = 296045159040. Its totient is φ = 56548362240.

The previous prime is 132232406347. The next prime is 132232406417. The reversal of 132232406416 is 614604232231.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (132232406417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9654325 + ... + 9668011.

It is an arithmetic number, because the mean of its divisors is an integer number (3700564488).

Almost surely, 2132232406416 is an apocalyptic number.

132232406416 is a gapful number since it is divisible by the number (16) 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 132232406416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148022579520).

132232406416 is an abundant number, since it is smaller than the sum of its proper divisors (163812752624).

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

132232406416 is a wasteful number, since it uses less digits than its factorization.

132232406416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16952 (or 16946 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

Adding to 132232406416 its reverse (614604232231), we get a palindrome (746836638647).

The spelling of 132232406416 in words is "one hundred thirty-two billion, two hundred thirty-two million, four hundred six thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 136 176 187 272 374 748 1496 2992 3229 6458 12916 13687 25832 27374 35519 51664 54748 54893 71038 109496 109786 142076 150557 218992 219572 232679 284152 301114 439144 465358 568304 602228 603823 878288 930716 1204456 1207646 1861432 2408912 2415292 2559469 3722864 4830584 5118938 9661168 10237876 20475752 40951504 44195323 88390646 176781292 353562584 486148553 707125168 751320491 972297106 1502640982 1944594212 3005281964 3889188424 6010563928 7778376848 8264525401 12021127856 16529050802 33058101604 66116203208 132232406416