Search a number
-
+
128621344824 = 23337139611993
BaseRepresentation
bin111011111001001101…
…1011111100000111000
3110021222211202022021000
41313302123133200320
54101404031013244
6135030545445000
712202233251340
oct1676233374070
9407884668230
10128621344824
114a60343a095
1220b17040760
13c18a38a63b
146322351d20
15352bcd8169
hex1df26df838

128621344824 has 128 divisors (see below), whose sum is σ = 411259968000. Its totient is φ = 36484515072.

The previous prime is 128621344783. The next prime is 128621344843. The reversal of 128621344824 is 428443126821.

128621344824 is a `hidden beast` number, since 1 + 286 + 2 + 1 + 344 + 8 + 24 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 128621344824.

It is a congruent number.

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, 95829 + ... + 516164.

It is an arithmetic number, because the mean of its divisors is an integer number (3212968500).

Almost surely, 2128621344824 is an apocalyptic number.

128621344824 is a gapful number since it is divisible by the number (14) 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 128621344824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205629984000).

128621344824 is an abundant number, since it is smaller than the sum of its proper divisors (282638623176).

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

128621344824 is a wasteful number, since it uses less digits than its factorization.

128621344824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612154 (or 612144 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The spelling of 128621344824 in words is "one hundred twenty-eight billion, six hundred twenty-one million, three hundred forty-four thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 139 168 189 216 252 278 378 417 504 556 756 834 973 1112 1251 1512 1668 1946 2502 2919 3336 3753 3892 5004 5838 7506 7784 8757 10008 11676 15012 17514 23352 26271 30024 35028 52542 70056 105084 210168 611993 1223986 1835979 2447972 3671958 4283951 4895944 5507937 7343916 8567902 11015874 12851853 14687832 16523811 17135804 22031748 25703706 33047622 34271608 38555559 44063496 51407412 66095244 77111118 85067027 102814824 115666677 132190488 154222236 170134054 231333354 255201081 308444472 340268108 462666708 510402162 595469189 680536216 765603243 925333416 1020804324 1190938378 1531206486 1786407567 2041608648 2296809729 2381876756 3062412972 3572815134 4593619458 4763753512 5359222701 6124825944 7145630268 9187238916 10718445402 14291260536 16077668103 18374477832 21436890804 32155336206 42873781608 64310672412 128621344824