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9468363621052 = 2272310723174051
BaseRepresentation
bin1000100111001000011001…
…1100110100001010111100
31020112011111112120222022001
42021302012130310022330
52220112202041333202
632045412312232044
71665031606601650
oct211620634641274
936464445528261
109468363621052
1130205684738a6
12108b04799b624
13538b2a9132bb
1424a3b241aa60
15116461becd87
hex89c867342bc

9468363621052 has 144 divisors (see below), whose sum is σ = 20014324581888. Its totient is φ = 3832089782400.

The previous prime is 9468363621023. The next prime is 9468363621053. The reversal of 9468363621052 is 2501263638649.

It is a junction number, because it is equal to n+sod(n) for n = 9468363620984 and 9468363621002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9468363621053) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2337288427 + ... + 2337292477.

It is an arithmetic number, because the mean of its divisors is an integer number (138988365152).

Almost surely, 29468363621052 is an apocalyptic number.

9468363621052 is a gapful number since it is divisible by the number (92) 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 9468363621052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10007162290944).

9468363621052 is an abundant number, since it is smaller than the sum of its proper divisors (10545960960836).

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

9468363621052 is a wasteful number, since it uses less digits than its factorization.

9468363621052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4616 (or 4507 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 55.

The spelling of 9468363621052 in words is "nine trillion, four hundred sixty-eight billion, three hundred sixty-three million, six hundred twenty-one thousand, fifty-two".

Divisors: 1 2 4 7 14 23 28 46 92 107 161 214 317 322 428 634 644 749 1268 1498 2219 2461 2996 4051 4438 4922 7291 8102 8876 9844 11449 14582 16204 17227 22898 28357 29164 33919 34454 45796 51037 56714 67838 68908 80143 93173 102074 113428 135676 160286 186346 204148 237433 263327 320572 372692 433457 474866 526654 652211 780137 866914 949732 1053308 1284167 1304422 1560274 1733828 1843289 2568334 2608844 3034199 3120548 3629333 3686578 5136668 5460959 6068398 7258666 7373156 8989169 9969511 10921918 12136796 14517332 17978338 19939022 21843836 25405331 29535841 35956676 39878044 46379899 50810662 59071682 69786577 83474659 92759798 101621324 118143364 137405869 139573154 166949318 185519596 206750887 274811738 279146308 324659293 333898636 413501774 549623476 584322613 649318586 827003548 961841083 1066737677 1168645226 1298637172 1923682166 2133475354 2337290452 3160334987 3847364332 4266950708 6320669974 7467163739 12641339948 14702427983 14934327478 22122344909 29404855966 29868654956 44244689818 58809711932 88489379636 102916995881 205833991762 338155843609 411667983524 676311687218 1352623374436 2367090905263 4734181810526 9468363621052