Search a number
-
+
21887852907872 = 2571131019848599
BaseRepresentation
bin1001111101000001010011…
…01100101000110101100000
32212111110101002202210120002
410332200221230220311200
510332102310321022442
6114315050225435132
74416226253665460
oct476405154506540
985443332683502
1021887852907872
116a7964a395706
12255601979baa8
13c2a0285826a3
145595406ddba0
1527e547500732
hex13e829b28d60

21887852907872 has 96 divisors (see below), whose sum is σ = 49732304832000. Its totient is φ = 9288359958528.

The previous prime is 21887852907773. The next prime is 21887852907953. The reversal of 21887852907872 is 27870925878812.

It is a super-2 number, since 2×218878529078722 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21887852907872.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25368629 + ... + 26217227.

It is an arithmetic number, because the mean of its divisors is an integer number (518044842000).

Almost surely, 221887852907872 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 21887852907872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24866152416000).

21887852907872 is an abundant number, since it is smaller than the sum of its proper divisors (27844451924128).

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

21887852907872 is a wasteful number, since it uses less digits than its factorization.

21887852907872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849748 (or 849740 counting only the distinct ones).

The product of its (nonzero) digits is 505774080, while the sum is 74.

The spelling of 21887852907872 in words is "twenty-one trillion, eight hundred eighty-seven billion, eight hundred fifty-two million, nine hundred seven thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 113 224 226 452 791 904 1019 1582 1808 2038 3164 3616 4076 6328 7133 8152 12656 14266 16304 25312 28532 32608 57064 114128 115147 228256 230294 460588 806029 848599 921176 1612058 1697198 1842352 3224116 3394396 3684704 5940193 6448232 6788792 11880386 12896464 13577584 23760772 25792928 27155168 47521544 95043088 95891687 190086176 191783374 383566748 671241809 767133496 864722381 1342483618 1534266992 1729444762 2684967236 3068533984 3458889524 5369934472 6053056667 6917779048 10739868944 12106113334 13835558096 21479737888 24212226668 27671116192 48424453336 96848906672 97713629053 193697813344 195427258106 390854516212 683995403371 781709032424 1367990806742 1563418064848 2735981613484 3126836129696 5471963226968 10943926453936 21887852907872