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2374094983680 = 29335714473391
BaseRepresentation
bin100010100011000011000…
…101101001001000000000
322101221221202120001011000
4202203003011221020000
5302344121303434210
65014351050452000
7333344200254120
oct42430305511000
98357852501130
102374094983680
118359367a8a92
12324147734000
13142b51007494
1482c9a404c80
1541b50535ac0
hex228c3169200

2374094983680 has 640 divisors, whose sum is σ = 9647199682560. Its totient is φ = 542115348480.

The previous prime is 2374094983661. The next prime is 2374094983721. The reversal of 2374094983680 is 863894904732.

2374094983680 is a `hidden beast` number, since 2 + 37 + 4 + 0 + 9 + 498 + 36 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 700114785 + ... + 700118175.

It is an arithmetic number, because the mean of its divisors is an integer number (15073749504).

Almost surely, 22374094983680 is an apocalyptic number.

2374094983680 is a gapful number since it is divisible by the number (20) 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 2374094983680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4823599841280).

2374094983680 is an abundant number, since it is smaller than the sum of its proper divisors (7273104698880).

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

2374094983680 is a wasteful number, since it uses less digits than its factorization.

2374094983680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4877 (or 4855 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 2374094983680 in words is "two trillion, three hundred seventy-four billion, ninety-four million, nine hundred eighty-three thousand, six hundred eighty".