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534506077584 = 243645825281
BaseRepresentation
bin1111100011100110000…
…10110111110110010000
31220002122122111002000000
413301303002313312100
532224132023440314
61045314304130000
753421362460543
oct7616302676620
91802578432000
10534506077584
11196756823296
1287711006900
133b532c36a6b
141bc27cba85a
15dd8514b209
hex7c730b7d90

534506077584 has 70 divisors (see below), whose sum is σ = 1552698030006. Its totient is φ = 178168688640.

The previous prime is 534506077583. The next prime is 534506077603. The reversal of 534506077584 is 485770605435.

534506077584 is a `hidden beast` number, since 5 + 3 + 4 + 50 + 6 + 0 + 7 + 7 + 584 = 666.

It can be written as a sum of positive squares in only one way, i.e., 490380873984 + 44125203600 = 700272^2 + 210060^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 534506077584.

It is not an unprimeable number, because it can be changed into a prime (534506077583) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 22900977 + ... + 22924304.

Almost surely, 2534506077584 is an apocalyptic number.

534506077584 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

534506077584 is an abundant number, since it is smaller than the sum of its proper divisors (1018191952422).

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

534506077584 is an equidigital number, since it uses as much as digits as its factorization.

534506077584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45825307 (or 45825286 counting only the distinct ones).

The product of its (nonzero) digits is 14112000, while the sum is 54.

The spelling of 534506077584 in words is "five hundred thirty-four billion, five hundred six million, seventy-seven thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2916 3888 5832 11664 45825281 91650562 137475843 183301124 274951686 366602248 412427529 549903372 733204496 824855058 1099806744 1237282587 1649710116 2199613488 2474565174 3299420232 3711847761 4949130348 6598840464 7423695522 9898260696 11135543283 14847391044 19796521392 22271086566 29694782088 33406629849 44542173132 59389564176 66813259698 89084346264 133626519396 178168692528 267253038792 534506077584