Search a number
-
+
292134502896 = 24325741956519
BaseRepresentation
bin1000100000001001001…
…00101100000111110000
31000221001100121101010120
410100010210230013300
514241242413043041
6342112120130240
730051236206035
oct4200444540760
91027040541116
10292134502896
11102991346975
124874b306980
132171841ca02
14101d468b38c
1578ebdd1366
hex440492c1f0

292134502896 has 80 divisors (see below), whose sum is σ = 759438892800. Its totient is φ = 96766050304.

The previous prime is 292134502879. The next prime is 292134502943. The reversal of 292134502896 is 698205431292.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 5140525 + ... + 5197043.

It is an arithmetic number, because the mean of its divisors is an integer number (9492986160).

Almost surely, 2292134502896 is an apocalyptic number.

It is an amenable number.

292134502896 is an abundant number, since it is smaller than the sum of its proper divisors (467304389904).

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

292134502896 is a wasteful number, since it uses less digits than its factorization.

292134502896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57206 (or 57200 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 292134502896 in words is "two hundred ninety-two billion, one hundred thirty-four million, five hundred two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 257 419 514 771 838 1028 1257 1542 1676 2056 2514 3084 3352 4112 5028 6168 6704 10056 12336 20112 56519 107683 113038 169557 215366 226076 323049 339114 430732 452152 646098 678228 861464 904304 1292196 1356456 1722928 2584392 2712912 5168784 14525383 23681461 29050766 43576149 47362922 58101532 71044383 87152298 94725844 116203064 142088766 174304596 189451688 232406128 284177532 348609192 378903376 568355064 697218384 1136710128 6086135477 12172270954 18258406431 24344541908 36516812862 48689083816 73033625724 97378167632 146067251448 292134502896