Search a number
-
+
2054212512 = 2531119432381
BaseRepresentation
bin111101001110000…
…1100101110100000
312022011100210210220
41322130030232200
513201334300022
6535500523040
7101622342522
oct17234145640
95264323726
102054212512
119646052a0
12493b50480
13269778c81
14156b6ba12
15c052085c
hex7a70cba0

2054212512 has 192 divisors, whose sum is σ = 6338787840. Its totient is φ = 575769600.

The previous prime is 2054212483. The next prime is 2054212603. The reversal of 2054212512 is 2152124502.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 861562 + ... + 863942.

It is an arithmetic number, because the mean of its divisors is an integer number (33014520).

Almost surely, 22054212512 is an apocalyptic number.

2054212512 is a gapful number since it is divisible by the number (22) 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 2054212512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3169393920).

2054212512 is an abundant number, since it is smaller than the sum of its proper divisors (4284575328).

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

2054212512 is a wasteful number, since it uses less digits than its factorization.

2054212512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2467 (or 2459 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 2054212512 is about 45323.4212300881. The cubic root of 2054212512 is about 1271.2036271394.

The spelling of 2054212512 in words is "two billion, fifty-four million, two hundred twelve thousand, five hundred twelve".