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484006725840 = 243511302360647
BaseRepresentation
bin1110000101100010000…
…11001000100011010000
31201021022021001012120010
413002301003020203100
530412221210211330
61010203303514520
746653065201031
oct7026103104320
91637267035503
10484006725840
111772a21a6950
1279978a58a40
13368458ab041
14195d7122a88
15c8cba1a3b0
hex70b10c88d0

484006725840 has 160 divisors (see below), whose sum is σ = 1637391200256. Its totient is φ = 117294215680.

The previous prime is 484006725827. The next prime is 484006725863. The reversal of 484006725840 is 48527600484.

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

It is a self number, because there is not a number n which added to its sum of digits gives 484006725840.

It is a congruent number.

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, 7950397 + ... + 8011043.

Almost surely, 2484006725840 is an apocalyptic number.

484006725840 is a gapful number since it is divisible by the number (40) 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 484006725840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818695600128).

484006725840 is an abundant number, since it is smaller than the sum of its proper divisors (1153384474416).

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

484006725840 is a wasteful number, since it uses less digits than its factorization.

484006725840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63697 (or 63691 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 48.

The spelling of 484006725840 in words is "four hundred eighty-four billion, six million, seven hundred twenty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 3023 6046 9069 12092 15115 18138 24184 30230 33253 36276 45345 48368 60460 60647 66506 72552 90690 99759 120920 121294 133012 145104 166265 181380 181941 199518 241840 242588 266024 303235 332530 362760 363882 399036 485176 498795 532048 606470 665060 667117 725520 727764 798072 909705 970352 997590 1212940 1330120 1334234 1455528 1596144 1819410 1995180 2001351 2425880 2660240 2668468 2911056 3335585 3638820 3990360 4002702 4851760 5336936 6671170 7277640 7980720 8005404 10006755 10673872 13342340 14555280 16010808 20013510 26684680 32021616 40027020 53369360 80054040 160108080 183335881 366671762 550007643 733343524 916679405 1100015286 1466687048 1833358810 2016694691 2200030572 2750038215 2933374096 3666717620 4033389382 4400061144 5500076430 6050084073 7333435240 8066778764 8800122288 10083473455 11000152860 12100168146 14666870480 16133557528 20166946910 22000305720 24200336292 30250420365 32267115056 40333893820 44000611440 48400672584 60500840730 80667787640 96801345168 121001681460 161335575280 242003362920 484006725840