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2155458549904 = 241126125472
BaseRepresentation
bin11111010111011011010…
…101110101100010010000
321122001121121112102121121
4133113123111311202100
5240303334342044104
64330112021132024
7311504162243002
oct37273325654220
97561547472547
102155458549904
11761141182300
122a98aa85a014
131283499738ca
1476479188372
153b105de0254
hex1f5db575890

2155458549904 has 135 divisors (see below), whose sum is σ = 4675402553913. Its totient is φ = 961930569600.

The previous prime is 2155458549901. The next prime is 2155458549943. The reversal of 2155458549904 is 4099458545512.

It is a happy number.

The square root of 2155458549904 is 1468148.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 70091503504 + 2085367046400 = 264748^2 + 1444080^2 .

It is a Harshad number since it is a multiple of its sum of digits (61).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2155458549901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3940508959 + ... + 3940509505.

Almost surely, 22155458549904 is an apocalyptic number.

2155458549904 is the 1468148-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2155458549904

2155458549904 is an abundant number, since it is smaller than the sum of its proper divisors (2519944004009).

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

2155458549904 is an frugal number, since it uses more digits than its factorization.

2155458549904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 51840000, while the sum is 61.

The spelling of 2155458549904 in words is "two trillion, one hundred fifty-five billion, four hundred fifty-eight million, five hundred forty-nine thousand, nine hundred four".

Divisors: 1 2 4 8 11 16 22 44 61 88 121 122 176 242 244 484 488 547 671 968 976 1094 1342 1936 2188 2684 3721 4376 5368 6017 7381 7442 8752 10736 12034 14762 14884 24068 29524 29768 33367 40931 48136 59048 59536 66187 66734 81862 96272 118096 132374 133468 163724 264748 266936 299209 327448 367037 450241 529496 533872 598418 654896 734074 900482 1058992 1196836 1468148 1800964 2035387 2393672 2936296 3291299 3601928 4037407 4070774 4787344 5872592 6582598 7203856 8074814 8141548 13165196 16149628 16283096 18251749 22389257 26330392 32299256 32566192 36204289 36503498 44778514 52660784 64598512 72408578 73006996 89557028 144817156 146013992 179114056 200769239 246281827 289634312 292027984 358228112 401538478 492563654 579268624 803076956 985127308 1113356689 1606153912 1970254616 2208461629 2226713378 3212307824 3940509232 4416923258 4453426756 8833846516 8906853512 12246923579 17667693032 17813707024 24493847158 35335386064 48987694316 97975388632 134716159369 195950777264 269432318738 538864637476 1077729274952 2155458549904