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539763514472 = 237213349303493
BaseRepresentation
bin1111101101011000110…
…10011001110001101000
31220121020001021112120202
413312230122121301220
532320413424430342
61051544113211332
753665562113100
oct7665432316150
91817201245522
10539763514472
11198a04483456
1288739860b48
133bb90210070
141c1a6232200
15e0919a5332
hex7dac699c68

539763514472 has 96 divisors (see below), whose sum is σ = 1271488113000. Its totient is φ = 212920275456.

The previous prime is 539763514429. The next prime is 539763514483. The reversal of 539763514472 is 274415367935.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 316917206116 + 222846308356 = 562954^2 + 472066^2 .

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1626758 + ... + 1930250.

Almost surely, 2539763514472 is an apocalyptic number.

539763514472 is a gapful number since it is divisible by the number (52) 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 539763514472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635744056500).

539763514472 is an abundant number, since it is smaller than the sum of its proper divisors (731724598528).

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

539763514472 is a wasteful number, since it uses less digits than its factorization.

539763514472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303875 (or 303864 counting only the distinct ones).

The product of its digits is 19051200, while the sum is 56.

The spelling of 539763514472 in words is "five hundred thirty-nine billion, seven hundred sixty-three million, five hundred fourteen thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 182 196 349 364 392 637 698 728 1274 1396 2443 2548 2792 4537 4886 5096 9074 9772 17101 18148 19544 31759 34202 36296 63518 68404 127036 136808 222313 254072 303493 444626 606986 889252 1213972 1778504 2124451 2427944 3945409 4248902 7890818 8497804 14871157 15781636 16995608 27617863 29742314 31563272 55235726 59484628 105919057 110471452 118969256 193325041 211838114 220942904 386650082 423676228 741433399 773300164 847352456 1376947741 1482866798 1546600328 2753895482 2965733596 5190033793 5507790964 5931467192 9638634187 10380067586 11015581928 19277268374 20760135172 38554536748 41520270344 67470439309 77109073496 134940878618 269881757236 539763514472