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2139223069656 = 2332163331550691
BaseRepresentation
bin11111001000010011101…
…000011001001111011000
321120111201010121120122100
4133020103220121033120
5240022112101212111
64314425010323400
7310360641033231
oct37102350311730
97514633546570
102139223069656
1175526a720732
122a6719589560
1312696018cb6a
1475778c3a088
153a9a58d2756
hex1f213a193d8

2139223069656 has 96 divisors (see below), whose sum is σ = 5846895213120. Its totient is φ = 706557297600.

The previous prime is 2139223069651. The next prime is 2139223069679. The reversal of 2139223069656 is 6569603229312.

It is a happy number.

2139223069656 is a `hidden beast` number, since 213 + 92 + 230 + 69 + 6 + 56 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2139223069651) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3609271 + ... + 4159961.

It is an arithmetic number, because the mean of its divisors is an integer number (60905158470).

Almost surely, 22139223069656 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 2139223069656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2923447606560).

2139223069656 is an abundant number, since it is smaller than the sum of its proper divisors (3707672143464).

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

2139223069656 is a wasteful number, since it uses less digits than its factorization.

2139223069656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551197 (or 551190 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 2139223069656 in words is "two trillion, one hundred thirty-nine billion, two hundred twenty-three million, sixty-nine thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 163 326 331 489 652 662 978 993 1304 1324 1467 1956 1986 2648 2934 2979 3912 3972 5868 5958 7944 11736 11916 23832 53953 107906 161859 215812 323718 431624 485577 550691 647436 971154 1101382 1294872 1652073 1942308 2202764 3304146 3884616 4405528 4956219 6608292 9912438 13216584 19824876 39649752 89762633 179525266 182278721 269287899 359050532 364557442 538575798 546836163 718101064 729114884 807863697 1077151596 1093672326 1458229768 1615727394 1640508489 2154303192 2187344652 3231454788 3281016978 4374689304 6462909576 6562033956 13124067912 29711431523 59422863046 89134294569 118845726092 178268589138 237691452184 267402883707 356537178276 534805767414 713074356552 1069611534828 2139223069656