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350148612096 = 2123267141767
BaseRepresentation
bin1010001100001100111…
…10111101000000000000
31020110210110101110211200
411012012132331000000
521214101021041341
6424504523541200
734204003044453
oct5060636750000
91213713343750
10350148612096
11125551843868
1257a4008a800
132703260288a
1412d394b949a
15919510bdb6
hex51867bd000

350148612096 has 156 divisors (see below), whose sum is σ = 1026519972192. Its totient is φ = 114973360128.

The previous prime is 350148612083. The next prime is 350148612161. The reversal of 350148612096 is 690216841053.

350148612096 is a `hidden beast` number, since 3 + 501 + 48 + 6 + 12 + 0 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2399005 + ... + 2540771.

It is an arithmetic number, because the mean of its divisors is an integer number (6580256232).

Almost surely, 2350148612096 is an apocalyptic number.

350148612096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350148612096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513259986096).

350148612096 is an abundant number, since it is smaller than the sum of its proper divisors (676371360096).

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

350148612096 is a wasteful number, since it uses less digits than its factorization.

350148612096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141864 (or 141839 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 350148612096 in words is "three hundred fifty billion, one hundred forty-eight million, six hundred twelve thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 67 72 96 128 134 144 192 201 256 268 288 384 402 512 536 576 603 768 804 1024 1072 1152 1206 1536 1608 2048 2144 2304 2412 3072 3216 4096 4288 4608 4824 6144 6432 8576 9216 9648 12288 12864 17152 18432 19296 25728 34304 36864 38592 51456 68608 77184 102912 137216 141767 154368 205824 274432 283534 308736 411648 425301 567068 617472 823296 850602 1134136 1234944 1275903 1701204 2268272 2469888 2551806 3402408 4536544 5103612 6804816 9073088 9498389 10207224 13609632 18146176 18996778 20414448 27219264 28495167 36292352 37993556 40828896 54438528 56990334 72584704 75987112 81657792 85485501 108877056 113980668 145169408 151974224 163315584 170971002 217754112 227961336 290338816 303948448 326631168 341942004 435508224 455922672 580677632 607896896 653262336 683884008 871016448 911845344 1215793792 1306524672 1367768016 1742032896 1823690688 2431587584 2613049344 2735536032 3647381376 4863175168 5226098688 5471072064 7294762752 9726350336 10942144128 14589525504 19452700672 21884288256 29179051008 38905401344 43768576512 58358102016 87537153024 116716204032 175074306048 350148612096