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84028008982400 = 275273751250401
BaseRepresentation
bin10011000110110001001011…
…101000000110011110000000
3102000111222222102101110020122
4103012301023220012132000
542003203330244414100
6454413533500155412
723461552252421330
oct2306611350063600
9360458872343218
1084028008982400
112485709551284a
129511236238b68
1337b6a656a2002
1416a6d97b410c0
159aab64831985
hex4c6c4ba06780

84028008982400 has 96 divisors (see below), whose sum is σ = 237229075422480. Its totient is φ = 28809603072000.

The previous prime is 84028008982391. The next prime is 84028008982429. The reversal of 84028008982400 is 428980082048.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1875602801 + ... + 1875647600.

Almost surely, 284028008982400 is an apocalyptic number.

84028008982400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84028008982400 is an abundant number, since it is smaller than the sum of its proper divisors (153201066440080).

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

84028008982400 is a wasteful number, since it uses less digits than its factorization.

84028008982400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3751250432 (or 3751250415 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 53.

The spelling of 84028008982400 in words is "eighty-four trillion, twenty-eight billion, eight million, nine hundred eighty-two thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 128 140 160 175 200 224 280 320 350 400 448 560 640 700 800 896 1120 1400 1600 2240 2800 3200 4480 5600 11200 22400 3751250401 7502500802 15005001604 18756252005 26258752807 30010003208 37512504010 52517505614 60020006416 75025008020 93781260025 105035011228 120040012832 131293764035 150050016040 187562520050 210070022456 240080025664 262587528070 300100032080 375125040100 420140044912 480160051328 525175056140 600200064160 656468820175 750250080200 840280089824 1050350112280 1200400128320 1312937640350 1500500160400 1680560179648 2100700224560 2400800256640 2625875280700 3001000320800 3361120359296 4201400449120 5251750561400 6002000641600 8402800898240 10503501122800 12004001283200 16805601796480 21007002245600 42014004491200 84028008982400