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119960428032 = 293323377291
BaseRepresentation
bin110111110111000110…
…0101101111000000000
3102110122020201010222000
41233232030231320000
53431134332144112
6131035320144000
711444505546144
oct1575614557000
9373566633860
10119960428032
1146969597115
121b2ba608000
13b409c405c3
145b3dda5224
1531c178a7dc
hex1bee32de00

119960428032 has 160 divisors (see below), whose sum is σ = 370530927360. Its totient is φ = 38248151040.

The previous prime is 119960428001. The next prime is 119960428033. The reversal of 119960428032 is 230824069911.

119960428032 is a `hidden beast` number, since 1 + 1 + 9 + 9 + 604 + 2 + 8 + 0 + 32 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (119960428033) 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, 129307 + ... + 506597.

It is an arithmetic number, because the mean of its divisors is an integer number (2315818296).

Almost surely, 2119960428032 is an apocalyptic number.

119960428032 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 119960428032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185265463680).

119960428032 is an abundant number, since it is smaller than the sum of its proper divisors (250570499328).

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

119960428032 is an equidigital number, since it uses as much as digits as its factorization.

119960428032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377341 (or 377319 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 119960428032 in words is "one hundred nineteen billion, nine hundred sixty million, four hundred twenty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 128 138 144 184 192 207 216 256 276 288 368 384 414 432 512 552 576 621 736 768 828 864 1104 1152 1242 1472 1536 1656 1728 2208 2304 2484 2944 3312 3456 4416 4608 4968 5888 6624 6912 8832 9936 11776 13248 13824 17664 19872 26496 35328 39744 52992 79488 105984 158976 317952 377291 754582 1131873 1509164 2263746 3018328 3395619 4527492 6036656 6791238 8677693 9054984 10186857 12073312 13582476 17355386 18109968 20373714 24146624 26033079 27164952 34710772 36219936 40747428 48293248 52066158 54329904 69421544 72439872 78099237 81494856 96586496 104132316 108659808 138843088 144879744 156198474 162989712 193172992 208264632 217319616 234297711 277686176 289759488 312396948 325979424 416529264 434639232 468595422 555372352 579518976 624793896 651958848 833058528 869278464 937190844 1110744704 1249587792 1303917696 1666117056 1738556928 1874381688 2221489408 2499175584 2607835392 3332234112 3748763376 4442978816 4998351168 5215670784 6664468224 7497526752 9996702336 13328936448 14995053504 19993404672 29990107008 39986809344 59980214016 119960428032