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3350709083064 = 2337431361340801
BaseRepresentation
bin110000110000100101110…
…100110001101110111000
3102212022202200021121220210
4300300211310301232320
5414344223011124224
611043143340151120
7464036460163650
oct60604564615670
912768680247823
103350709083064
111082033a19692
124614818384a0
131b3c8029acb5
14b82649c9360
155c25db61429
hex30c25d31bb8

3350709083064 has 128 divisors (see below), whose sum is σ = 9803319482880. Its totient is φ = 934391808000.

The previous prime is 3350709083041. The next prime is 3350709083101. The reversal of 3350709083064 is 4603809070533.

It is a super-2 number, since 2×33507090830642 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9661464 + ... + 10002264.

It is an arithmetic number, because the mean of its divisors is an integer number (76588433460).

Almost surely, 23350709083064 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 3350709083064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4901659741440).

3350709083064 is an abundant number, since it is smaller than the sum of its proper divisors (6452610399816).

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

3350709083064 is a wasteful number, since it uses less digits than its factorization.

3350709083064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342221 (or 342217 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 48.

The spelling of 3350709083064 in words is "three trillion, three hundred fifty billion, seven hundred nine million, eighty-three thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 84 86 129 168 172 258 301 344 516 602 903 1032 1204 1361 1806 2408 2722 3612 4083 5444 7224 8166 9527 10888 16332 19054 28581 32664 38108 57162 58523 76216 114324 117046 175569 228648 234092 340801 351138 409661 468184 681602 702276 819322 1022403 1228983 1363204 1404552 1638644 2044806 2385607 2457966 2726408 3277288 4089612 4771214 4915932 7156821 8179224 9542428 9831864 14313642 14654443 19084856 28627284 29308886 43963329 57254568 58617772 87926658 102581101 117235544 175853316 205162202 307743303 351706632 410324404 463830161 615486606 820648808 927660322 1230973212 1391490483 1855320644 2461946424 2782980966 3246811127 3710641288 5565961932 6493622254 9740433381 11131923864 12987244508 19480866762 19944696923 25974489016 38961733524 39889393846 59834090769 77923467048 79778787692 119668181538 139612878461 159557575384 239336363076 279225756922 418838635383 478672726152 558451513844 837677270766 1116903027688 1675354541532 3350709083064