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6100966624 = 254135912953
BaseRepresentation
bin1011010111010010…
…10101110011100000
3120202012001012211211
411223221111303200
544443321412444
62445220515504
7304121234464
oct55351256340
916665035754
106100966624
112650922585
12122324bb94
13762c8a52c
1441c3b24a4
1525a92dc34
hex16ba55ce0

6100966624 has 48 divisors (see below), whose sum is σ = 12339462240. Its totient is φ = 2967562240.

The previous prime is 6100966607. The next prime is 6100966631. The reversal of 6100966624 is 4266690016.

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, 464532 + ... + 477484.

It is an arithmetic number, because the mean of its divisors is an integer number (257072130).

Almost surely, 26100966624 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 6100966624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6169731120).

6100966624 is an abundant number, since it is smaller than the sum of its proper divisors (6238495616).

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

6100966624 is a wasteful number, since it uses less digits than its factorization.

6100966624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13363 (or 13355 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The square root of 6100966624 is about 78108.6846899882. The cubic root of 6100966624 is about 1827.2566441617.

The spelling of 6100966624 in words is "six billion, one hundred million, nine hundred sixty-six thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 32 41 82 164 328 359 656 718 1312 1436 2872 5744 11488 12953 14719 25906 29438 51812 58876 103624 117752 207248 235504 414496 471008 531073 1062146 2124292 4248584 4650127 8497168 9300254 16994336 18600508 37201016 74402032 148804064 190655207 381310414 762620828 1525241656 3050483312 6100966624