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9804536072040 = 23352927531023391
BaseRepresentation
bin1000111010101100101111…
…1000111100011101101000
31021201022012222100220101010
42032223023320330131220
52241114142213301130
632504050334423520
72031232354356153
oct216531370743550
937638188326333
109804536072040
113140098010996
121124227361ba0
13561743832858
1425c783666c9a
15120089d350b0
hex8eacbe3c768

9804536072040 has 128 divisors (see below), whose sum is σ = 30438952934400. Its totient is φ = 2523466874880.

The previous prime is 9804536072039. The next prime is 9804536072077. The reversal of 9804536072040 is 402706354089.

It is a super-2 number, since 2×98045360720402 (a number of 27 digits) contains 22 as substring.

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, 9068745 + ... + 10092135.

It is an arithmetic number, because the mean of its divisors is an integer number (237804319800).

Almost surely, 29804536072040 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 9804536072040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15219476467200).

9804536072040 is an abundant number, since it is smaller than the sum of its proper divisors (20634416862360).

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

9804536072040 is a wasteful number, since it uses less digits than its factorization.

9804536072040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026187 (or 1026183 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 9804536072040 in words is "nine trillion, eight hundred four billion, five hundred thirty-six million, seventy-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 2753 3480 5506 8259 11012 13765 16518 22024 27530 33036 41295 55060 66072 79837 82590 110120 159674 165180 239511 319348 330360 399185 479022 638696 798370 958044 1023391 1197555 1596740 1916088 2046782 2395110 3070173 3193480 4093564 4790220 5116955 6140346 8187128 9580440 10233910 12280692 15350865 20467820 24561384 29678339 30701730 40935640 59356678 61403460 89035017 118713356 122806920 148391695 178070034 237426712 296783390 356140068 445175085 593566780 712280136 890350170 1187133560 1780700340 2817395423 3561400680 5634790846 8452186269 11269581692 14086977115 16904372538 22539163384 28173954230 33808745076 42260931345 56347908460 67617490152 81704467267 84521862690 112695816920 163408934534 169043725380 245113401801 326817869068 338087450760 408522336335 490226803602 653635738136 817044672670 980453607204 1225567009005 1634089345340 1960907214408 2451134018010 3268178690680 4902268036020 9804536072040