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1997910401448 = 2331383263293351
BaseRepresentation
bin11101000100101100101…
…111010110000110101000
321001222221210220020122010
4131010230233112012220
5230213210030321243
64125454413355520
7264226040132013
oct35045457260650
97058853806563
101997910401448
11700344377535
12283260198ba0
1311652c678a20
146c9b115037a
1536e8481c433
hex1d12cbd61a8

1997910401448 has 128 divisors (see below), whose sum is σ = 5464514119680. Its totient is φ = 605023814400.

The previous prime is 1997910401423. The next prime is 1997910401479. The reversal of 1997910401448 is 8441040197991.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6663973 + ... + 6957323.

It is an arithmetic number, because the mean of its divisors is an integer number (42691516560).

Almost surely, 21997910401448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1997910401448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2732257059840).

1997910401448 is an abundant number, since it is smaller than the sum of its proper divisors (3466603718232).

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

1997910401448 is a wasteful number, since it uses less digits than its factorization.

1997910401448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293719 (or 293715 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 57.

The spelling of 1997910401448 in words is "one trillion, nine hundred ninety-seven billion, nine hundred ten million, four hundred one thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 83 104 156 166 249 263 312 332 498 526 664 789 996 1052 1079 1578 1992 2104 2158 3156 3237 3419 4316 6312 6474 6838 8632 10257 12948 13676 20514 21829 25896 27352 41028 43658 65487 82056 87316 130974 174632 261948 283777 293351 523896 567554 586702 851331 880053 1135108 1173404 1702662 1760106 2270216 2346808 3405324 3520212 3813563 6810648 7040424 7627126 11440689 15254252 22881378 24348133 30508504 45762756 48696266 73044399 77151313 91525512 97392532 146088798 154302626 194785064 231453939 292177596 308605252 316525729 462907878 584355192 617210504 633051458 925815756 949577187 1002967069 1266102916 1851631512 1899154374 2005934138 2532205832 3008901207 3798308748 4011868276 6017802414 6403558979 7596617496 8023736552 12035604828 12807117958 19210676937 24071209656 25614235916 38421353874 51228471832 76842707748 83246266727 153685415496 166492533454 249738800181 332985066908 499477600362 665970133816 998955200724 1997910401448