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19554401142 = 23223229239863
BaseRepresentation
bin10010001101100010…
…000111101101110110
31212110210001111112100
4102031202013231312
5310021411314032
612552210402530
71261401444603
oct221542075566
955423044470
1019554401142
118324a4a001
123958890446
131ac828c283
14d370516aa
15796a9b97c
hex48d887b76

19554401142 has 96 divisors (see below), whose sum is σ = 44640460800. Its totient is φ = 6174374976.

The previous prime is 19554401137. The next prime is 19554401143. The reversal of 19554401142 is 24110445591.

19554401142 is a `hidden beast` number, since 19 + 554 + 40 + 11 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 19554401097 and 19554401106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19554401143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22658203 + ... + 22659065.

It is an arithmetic number, because the mean of its divisors is an integer number (465004800).

Almost surely, 219554401142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19554401142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22320230400).

19554401142 is an abundant number, since it is smaller than the sum of its proper divisors (25086059658).

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

19554401142 is a wasteful number, since it uses less digits than its factorization.

19554401142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 19554401142 in words is "nineteen billion, five hundred fifty-four million, four hundred one thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 229 239 414 458 478 687 717 863 1374 1434 1726 2061 2151 2589 4122 4302 5178 5267 5497 7767 10534 10994 15534 15801 16491 19849 31602 32982 39698 47403 49473 54731 59547 94806 98946 109462 119094 164193 178641 197627 206257 328386 357282 395254 412514 492579 592881 618771 985158 1185762 1237542 1258813 1778643 1856313 2517626 3557286 3712626 3776439 4545421 4743911 7552878 9090842 9487822 11329317 13636263 14231733 22658634 27272526 28463466 40908789 42695199 47232853 81817578 85390398 94465706 141698559 283397118 425095677 850191354 1086355619 2172711238 3259066857 6518133714 9777200571 19554401142