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54830520768 = 26312721110657
BaseRepresentation
bin110011000100001001…
…110101100111000000
312020112020022001101110
4303010021311213000
51344243103131033
641104440203320
73650515510452
oct630411654700
9166466261343
1054830520768
1121287443881
12a762769540
13522a76c33a
1429220b62d2
15165d9c0363
hexcc42759c0

54830520768 has 112 divisors (see below), whose sum is σ = 146921467904. Its totient is φ = 18045296640.

The previous prime is 54830520761. The next prime is 54830520791. The reversal of 54830520768 is 86702503845.

It is a super-4 number, since 4×548305207684 (a number of 44 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54830520761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5139696 + ... + 5150352.

Almost surely, 254830520768 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 54830520768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73460733952).

54830520768 is an abundant number, since it is smaller than the sum of its proper divisors (92090947136).

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

54830520768 is a wasteful number, since it uses less digits than its factorization.

54830520768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11010 (or 11000 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The spelling of 54830520768 in words is "fifty-four billion, eight hundred thirty million, five hundred twenty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 192 211 254 381 422 508 633 762 844 1016 1266 1524 1688 2032 2532 3048 3376 4064 5064 6096 6752 8128 10128 10657 12192 13504 20256 21314 24384 26797 31971 40512 42628 53594 63942 80391 85256 107188 127884 160782 170512 214376 255768 321564 341024 428752 511536 643128 682048 857504 1023072 1286256 1353439 1715008 2046144 2248627 2572512 2706878 4060317 4497254 5145024 5413756 6745881 8120634 8994508 10827512 13491762 16241268 17989016 21655024 26983524 32482536 35978032 43310048 53967048 64965072 71956064 86620096 107934096 129930144 143912128 215868192 259860288 285575629 431736384 571151258 856726887 1142302516 1713453774 2284605032 3426907548 4569210064 6853815096 9138420128 13707630192 18276840256 27415260384 54830520768