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3750143904 = 2532133179409
BaseRepresentation
bin1101111110000110…
…1010011110100000
3100200100120001022200
43133201222132200
530140014101104
61420042333200
7161634461103
oct33741523640
910610501280
103750143904
111654949691
12887aba200
13479c2c680
142780b473a
1516e36db39
hexdf86a7a0

3750143904 has 288 divisors, whose sum is σ = 12034713600. Its totient is φ = 1099837440.

The previous prime is 3750143879. The next prime is 3750143923. The reversal of 3750143904 is 4093410573.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×37501439042 = 28127158601416722432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 9168852 + ... + 9169260.

It is an arithmetic number, because the mean of its divisors is an integer number (41787200).

Almost surely, 23750143904 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 3750143904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6017356800).

3750143904 is an abundant number, since it is smaller than the sum of its proper divisors (8284569696).

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

3750143904 is a wasteful number, since it uses less digits than its factorization.

3750143904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 3750143904 is about 61238.4185295473. The cubic root of 3750143904 is about 1553.6361257532.

The spelling of 3750143904 in words is "three billion, seven hundred fifty million, one hundred forty-three thousand, nine hundred four".