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4420265379852 = 22372192691470839
BaseRepresentation
bin100000001010010110001…
…0110010000100000001100
3120122120110220011000220010
41000110230112100200030
51034410200414123402
613222350351353220
7634232203540200
oct100245426204014
916576426130803
104420265379852
111454695630883
125b4815b22810
13260aa1aaa5aa
14113d28b48b00
1579eaba90a6c
hex4052c59080c

4420265379852 has 144 divisors (see below), whose sum is σ = 12676287456000. Its totient is φ = 1192014182016.

The previous prime is 4420265379839. The next prime is 4420265379989. The reversal of 4420265379852 is 2589735620244.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 4420265379792 and 4420265379801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2269849 + ... + 3740687.

It is an arithmetic number, because the mean of its divisors is an integer number (88029774000).

Almost surely, 24420265379852 is an apocalyptic number.

4420265379852 is a gapful number since it is divisible by the number (42) 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 4420265379852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6338143728000).

4420265379852 is an abundant number, since it is smaller than the sum of its proper divisors (8256022076148).

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

4420265379852 is a wasteful number, since it uses less digits than its factorization.

4420265379852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471148 (or 1471139 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 57.

The spelling of 4420265379852 in words is "four trillion, four hundred twenty billion, two hundred sixty-five million, three hundred seventy-nine thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 49 57 76 84 98 114 133 147 196 228 266 269 294 399 532 538 588 798 807 931 1076 1596 1614 1862 1883 2793 3228 3724 3766 5111 5586 5649 7532 10222 11172 11298 13181 15333 20444 22596 26362 30666 35777 39543 52724 61332 71554 79086 107331 143108 158172 214662 250439 429324 500878 751317 1001756 1470839 1502634 2941678 3005268 4412517 5883356 8825034 10295873 17650068 20591746 27945941 30887619 41183492 55891882 61775238 72071111 83837823 111783764 123550476 144142222 167675646 195621587 216213333 288284444 335351292 391243174 395655691 432426666 586864761 782486348 791311382 864853332 1173729522 1186967073 1369351109 1582622764 2347459044 2373934146 2738702218 2769589837 4108053327 4747868292 5477404436 5539179674 7517458129 8216106654 8308769511 11078359348 15034916258 16432213308 16617539022 19387128859 22552374387 30069832516 33235078044 38774257718 45104748774 52622206903 58161386577 77548515436 90209497548 105244413806 116322773154 157866620709 210488827612 232645546308 315733241418 368355448321 631466482836 736710896642 1105066344963 1473421793284 2210132689926 4420265379852