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9421106019456 = 273107696732911
BaseRepresentation
bin1000100100011000010110…
…1011010111110010000000
31020100122112002002002001110
42021012011223113302000
52213323411120110311
632011555114003320
71661436534606555
oct211060553276200
936318462062043
109421106019456
11300251781630a
121081a59416540
13534539083431
14247dabdd8a2c
151150e7eb58a6
hex89185ad7c80

9421106019456 has 128 divisors (see below), whose sum is σ = 25263082690560. Its totient is φ = 3110478382080.

The previous prime is 9421106019443. The next prime is 9421106019491. The reversal of 9421106019456 is 6549106011249.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 286243641 + ... + 286276551.

It is an arithmetic number, because the mean of its divisors is an integer number (197367833520).

Almost surely, 29421106019456 is an apocalyptic number.

9421106019456 is a gapful number since it is divisible by the number (96) 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 9421106019456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12631541345280).

9421106019456 is an abundant number, since it is smaller than the sum of its proper divisors (15841976671104).

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

9421106019456 is a wasteful number, since it uses less digits than its factorization.

9421106019456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40002 (or 39990 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The spelling of 9421106019456 in words is "nine trillion, four hundred twenty-one billion, one hundred six million, nineteen thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 128 192 214 321 384 428 642 856 1284 1712 2568 3424 5136 6848 6967 10272 13696 13934 20544 20901 27868 32911 41088 41802 55736 65822 83604 98733 111472 131644 167208 197466 222944 263288 334416 394932 445888 526576 668832 745469 789864 891776 1053152 1337664 1490938 1579728 2106304 2236407 2675328 2981876 3159456 3521477 4212608 4472814 5963752 6318912 7042954 8945628 10564431 11927504 12637824 14085908 17891256 21128862 23855008 28171816 35782512 42257724 47710016 56343632 71565024 84515448 95420032 112687264 143130048 169030896 225374528 229290937 286260096 338061792 450749056 458581874 676123584 687872811 917163748 1352247168 1375745622 1834327496 2751491244 3668654992 5502982488 7337309984 11005964976 14674619968 22011929952 24534130259 29349239936 44023859904 49068260518 73602390777 88047719808 98136521036 147204781554 196273042072 294409563108 392546084144 588819126216 785092168288 1177638252432 1570184336576 2355276504864 3140368673152 4710553009728 9421106019456