Search a number
-
+
55111503024 = 24322935936761
BaseRepresentation
bin110011010100111001…
…101100110010110000
312021020211000102120200
4303110321230302300
51400332021044044
641152354435200
73660500021634
oct632471546260
9167224012520
1055111503024
1121411008a16
12a820892b00
135273a3bb26
14294b538dc4
1516784c4369
hexcd4e6ccb0

55111503024 has 120 divisors (see below), whose sum is σ = 160002928800. Its totient is φ = 17687147520.

The previous prime is 55111503001. The next prime is 55111503067. The reversal of 55111503024 is 42030511155.

55111503024 is a `hidden beast` number, since 551 + 11 + 50 + 30 + 24 = 666.

55111503024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×551115030242 (a number of 22 digits) contains 22 as substring.

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, 1480804 + ... + 1517564.

It is an arithmetic number, because the mean of its divisors is an integer number (1333357740).

Almost surely, 255111503024 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 55111503024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80001464400).

55111503024 is an abundant number, since it is smaller than the sum of its proper divisors (104891425776).

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

55111503024 is a wasteful number, since it uses less digits than its factorization.

55111503024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37163 (or 37154 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 55111503024 in words is "fifty-five billion, one hundred eleven million, five hundred three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 359 464 522 696 718 1044 1077 1392 1436 2088 2154 2872 3231 4176 4308 5744 6462 8616 10411 12924 17232 20822 25848 31233 36761 41644 51696 62466 73522 83288 93699 110283 124932 147044 166576 187398 220566 249864 294088 330849 374796 441132 499728 588176 661698 749592 882264 1066069 1323396 1499184 1764528 2132138 2646792 3198207 4264276 5293584 6396414 8528552 9594621 12792828 13197199 17057104 19189242 25585656 26394398 38378484 39591597 51171312 52788796 76756968 79183194 105577592 118774791 153513936 158366388 211155184 237549582 316732776 382718771 475099164 633465552 765437542 950198328 1148156313 1530875084 1900396656 2296312626 3061750168 3444468939 4592625252 6123500336 6888937878 9185250504 13777875756 18370501008 27555751512 55111503024