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6121993284 = 22361117103109
BaseRepresentation
bin1011011001110011…
…00011010001000100
3120210122121111000000
411230321203101010
5100014212241114
62451251321300
7304465040631
oct55471432104
916718544000
106121993284
112661784190
12122a2b0230
13767440044
144210c7188
1525c6d3e09
hex16ce63444

6121993284 has 336 divisors, whose sum is σ = 18905927040. Its totient is φ = 1713208320.

The previous prime is 6121993253. The next prime is 6121993289. The reversal of 6121993284 is 4823991216.

6121993284 is a `hidden beast` number, since 612 + 1 + 9 + 9 + 3 + 28 + 4 = 666.

It is a super-2 number, since 2×61219932842 = 74957603538682209312, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6121993289) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 56165022 + ... + 56165130.

It is an arithmetic number, because the mean of its divisors is an integer number (56267640).

Almost surely, 26121993284 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 6121993284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9452963520).

6121993284 is an abundant number, since it is smaller than the sum of its proper divisors (12783933756).

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

6121993284 is a wasteful number, since it uses less digits than its factorization.

6121993284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 245 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 6121993284 is about 78243.1676506006. The cubic root of 6121993284 is about 1829.3534184437.

The spelling of 6121993284 in words is "six billion, one hundred twenty-one million, nine hundred ninety-three thousand, two hundred eighty-four".