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3013779200334 = 237215718121993
BaseRepresentation
bin101011110110110011001…
…111010001100101001110
3101200010002110021011211020
4223312303033101211032
5343334204433402314
610224302215335010
7430511154345600
oct53666317214516
911603073234736
103013779200334
11a62155875951
12408110681466
1318b276481396
14a5c20d35170
15535de2aeda9
hex2bdb33d194e

3013779200334 has 144 divisors (see below), whose sum is σ = 7099070496624. Its totient is φ = 850441213440.

The previous prime is 3013779200291. The next prime is 3013779200351. The reversal of 3013779200334 is 4330029773103.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a nontrivial repunit in base 313.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1512181242 + ... + 1512183234.

It is an arithmetic number, because the mean of its divisors is an integer number (49299100671).

Almost surely, 23013779200334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3013779200334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3549535248312).

3013779200334 is an abundant number, since it is smaller than the sum of its proper divisors (4085291296290).

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

3013779200334 is a wasteful number, since it uses less digits than its factorization.

3013779200334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2531 (or 2343 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 42.

The spelling of 3013779200334 in words is "three trillion, thirteen billion, seven hundred seventy-nine million, two hundred thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 157 181 294 314 362 471 543 942 1086 1099 1267 1993 2198 2534 3297 3801 3986 5979 6594 7602 7693 8869 11958 13951 15386 17738 23079 26607 27902 28417 32761 41853 46158 53214 56834 65522 83706 85251 97657 98283 170502 195314 196566 198919 229327 292971 312901 360733 397838 458654 585942 596757 625802 687981 721466 938703 1082199 1193514 1375962 1392433 1605289 1877406 2164398 2190307 2525131 2784866 3210578 4177299 4380614 4815867 5050262 5143477 6570921 7575393 8354598 9631734 10286954 13141842 15150786 15332149 15430431 17675917 30664298 30860862 35351834 36004339 45996447 53027751 56635081 65292673 72008678 91992894 106055502 108013017 113270162 130585346 169905243 195878019 216026034 252030373 339810486 391756038 396445567 457048711 504060746 756091119 792891134 914097422 1189336701 1371146133 1512182238 2378673402 2742292266 2775118969 3199340977 5550237938 6398681954 8325356907 9598022931 10250949661 16650713814 19196045862 20501899322 30752848983 61505697966 71756647627 143513295254 215269942881 430539885762 502296533389 1004593066778 1506889600167 3013779200334