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146975201360032 = 2571181941379811
BaseRepresentation
bin100001011010110001010100…
…101010101111100010100000
3201021101200200111012002012111
4201122301110222233202200
5123231020203022010112
61240331250403405104
742646415334425353
oct4132612452574240
9637350614162174
10146975201360032
1142915918594311
1214598941683794
136401918444b66
1428418cdbd429a
1511ed267a405a7
hex85ac54aaf8a0

146975201360032 has 96 divisors (see below), whose sum is σ = 295368391963008. Its totient is φ = 71975514240000.

The previous prime is 146975201360003. The next prime is 146975201360041. The reversal of 146975201360032 is 230063102579641.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 386779407 + ... + 387159217.

It is an arithmetic number, because the mean of its divisors is an integer number (3076754082948).

Almost surely, 2146975201360032 is an apocalyptic number.

It is an amenable number.

146975201360032 is an abundant number, since it is smaller than the sum of its proper divisors (148393190602976).

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

146975201360032 is a wasteful number, since it uses less digits than its factorization.

146975201360032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381014 (or 381006 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 49.

The spelling of 146975201360032 in words is "one hundred forty-six trillion, nine hundred seventy-five billion, two hundred one million, three hundred sixty thousand, thirty-two".

Divisors: 1 2 4 8 16 32 71 142 181 284 362 568 724 941 1136 1448 1882 2272 2896 3764 5792 7528 12851 15056 25702 30112 51404 66811 102808 133622 170321 205616 267244 340642 379811 411232 534488 681284 759622 1068976 1362568 1519244 2137952 2725136 3038488 5450272 6076976 12092791 12153952 24185582 26966581 48371164 53933162 68745791 96742328 107866324 137491582 193484656 215732648 274983164 357402151 386969312 431465296 549966328 714804302 862930592 1099932656 1429608604 2199865312 2859217208 4880951161 5718434416 9761902322 11436868832 19523804644 25375552721 39047609288 50751105442 64689789331 78095218576 101502210884 129379578662 156190437152 203004421768 258759157324 406008843536 517518314648 812017687072 1035036629296 2070073258592 4592975042501 9185950085002 18371900170004 36743800340008 73487600680016 146975201360032