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354553350112 = 25133723034911
BaseRepresentation
bin1010010100011010000…
…01101100011111100000
31020220011102200100110201
411022031001230133200
521302111124200422
6430513552434544
734421106515323
oct5121501543740
91226142610421
10354553350112
11127402139715
125886b248a54
1327585034330
14132364a87ba
159351b7e727
hex528d06c7e0

354553350112 has 48 divisors (see below), whose sum is σ = 772038110592. Its totient is φ = 159217297920.

The previous prime is 354553350097. The next prime is 354553350131. The reversal of 354553350112 is 211053355453.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11502064 + ... + 11532847.

It is an arithmetic number, because the mean of its divisors is an integer number (16084127304).

Almost surely, 2354553350112 is an apocalyptic number.

354553350112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

354553350112 is an abundant number, since it is smaller than the sum of its proper divisors (417484760480).

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

354553350112 is a wasteful number, since it uses less digits than its factorization.

354553350112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23034971 (or 23034963 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 37.

The spelling of 354553350112 in words is "three hundred fifty-four billion, five hundred fifty-three million, three hundred fifty thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 37 52 74 104 148 208 296 416 481 592 962 1184 1924 3848 7696 15392 23034911 46069822 92139644 184279288 299453843 368558576 598907686 737117152 852291707 1197815372 1704583414 2395630744 3409166828 4791261488 6818333656 9582522976 11079792191 13636667312 22159584382 27273334624 44319168764 88638337528 177276675056 354553350112