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3394028610896 = 24711191042913903
BaseRepresentation
bin110001011000111011110…
…111101010010101010000
3110000110120200121122112112
4301120323313222111100
5421101432311022041
611115110100044452
7500132123121320
oct61307367522520
913013520548475
103394028610896
11109944373a060
12469951393728
131b8094cac0c1
14ba3b3db7280
155d446ca6deb
hex3163bdea550

3394028610896 has 160 divisors (see below), whose sum is σ = 8631514214400. Its totient is φ = 1252541283840.

The previous prime is 3394028610893. The next prime is 3394028610901. The reversal of 3394028610896 is 6980168204933.

It is a super-3 number, since 3×33940286108963 (a number of 39 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (59) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3394028610893) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244115081 + ... + 244128983.

It is an arithmetic number, because the mean of its divisors is an integer number (53946963840).

Almost surely, 23394028610896 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 3394028610896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4315757107200).

3394028610896 is an abundant number, since it is smaller than the sum of its proper divisors (5237485603504).

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

3394028610896 is a wasteful number, since it uses less digits than its factorization.

3394028610896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24377 (or 24371 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 59.

The spelling of 3394028610896 in words is "three trillion, three hundred ninety-four billion, twenty-eight million, six hundred ten thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 38 44 56 76 77 88 112 133 152 154 176 209 266 304 308 418 532 616 836 1064 1232 1463 1672 2128 2926 3344 5852 10429 11704 13903 20858 23408 27806 41716 55612 73003 83432 97321 111224 114719 146006 152933 166864 194642 198151 222448 229438 264157 292012 305866 389284 396302 458876 528314 584024 611732 778568 792604 803033 917752 1056628 1070531 1168048 1223464 1387057 1557136 1585208 1606066 1835504 1849099 2113256 2141062 2179661 2446928 2774114 2905727 3170416 3212132 3698198 4226512 4282124 4359322 5548228 5811454 6424264 7396396 8564248 8718644 11096456 11622908 12848528 14792792 15257627 17128496 17437288 20340089 22192912 23245816 29585584 30515254 34874576 40680178 46491632 61030508 81360356 122061016 144994387 162720712 244122032 289988774 325441424 579977548 1014960709 1159955096 1594938257 2029921418 2319910192 2754893353 3189876514 4059842836 5509786706 6379753028 8119685672 11019573412 11164567799 12759506056 16239371344 19284253471 22039146824 22329135598 25519012112 30303826883 38568506942 44078293648 44658271196 60607653766 77137013884 89316542392 121215307532 154274027768 178633084784 212126788181 242430615064 308548055536 424253576362 484861230128 848507152724 1697014305448 3394028610896