Search a number
-
+
10085045104820 = 2257296944095503
BaseRepresentation
bin1001001011000001101110…
…0001111111000010110100
31022201010021010121012120102
42102300123201333002310
52310213133021323240
633241001124453232
72060422550662310
oct222603341770264
938633233535512
1010085045104820
113239053055014
12116a67124a218
1358202858215a
1426c193d4ab40
151275062c7815
hex92c1b87f0b4

10085045104820 has 96 divisors (see below), whose sum is σ = 24222152908800. Its totient is φ = 3455153178624.

The previous prime is 10085045104777. The next prime is 10085045104949. The reversal of 10085045104820 is 2840154058001.

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, 1832642189 + ... + 1832647691.

It is an arithmetic number, because the mean of its divisors is an integer number (252314092800).

Almost surely, 210085045104820 is an apocalyptic number.

10085045104820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10085045104820 is an abundant number, since it is smaller than the sum of its proper divisors (14137107803980).

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

10085045104820 is a wasteful number, since it uses less digits than its factorization.

10085045104820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12897 (or 12895 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 38.

The spelling of 10085045104820 in words is "ten trillion, eighty-five billion, forty-five million, one hundred four thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 2969 4409 5503 5938 8818 11006 11876 14845 17636 20783 22012 22045 27515 29690 30863 38521 41566 44090 55030 59380 61726 77042 83132 88180 103915 110060 123452 154084 154315 192605 207830 308630 385210 415660 617260 770420 13090321 16338407 24262727 26180642 32676814 48525454 52361284 65353628 65451605 81692035 91632247 97050908 114368849 121313635 130903210 163384070 169839089 183264494 228737698 242627270 261806420 326768140 339678178 366528988 457475396 458161235 485254540 571844245 679356356 849195445 916322470 1143688490 1698390890 1832644940 2287376980 3396781780 72036036463 144072072926 288144145852 360180182315 504252255241 720360364630 1008504510482 1440720729260 2017009020964 2521261276205 5042522552410 10085045104820