Search a number
-
+
2114254601552 = 242943118789273
BaseRepresentation
bin11110110001000011011…
…001001111110101010000
321111010021001000222110102
4132301003121033311100
5234114443134222202
64255135233351532
7305515125410462
oct36610331176520
97433231028412
102114254601552
11745717671025
122a190b7085a8
131244b1346992
147448ab40132
1539ee388cd02
hex1ec4364fd50

2114254601552 has 80 divisors (see below), whose sum is σ = 4339873391040. Its totient is φ = 996086977536.

The previous prime is 2114254601551. The next prime is 2114254601567. The reversal of 2114254601552 is 2551064524112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114254601551) 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, 23638388 + ... + 23727660.

It is an arithmetic number, because the mean of its divisors is an integer number (54248417388).

Almost surely, 22114254601552 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 2114254601552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2169936695520).

2114254601552 is an abundant number, since it is smaller than the sum of its proper divisors (2225618789488).

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

2114254601552 is a wasteful number, since it uses less digits than its factorization.

2114254601552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90540 (or 90534 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 38.

The spelling of 2114254601552 in words is "two trillion, one hundred fourteen billion, two hundred fifty-four million, six hundred one thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 29 43 58 86 116 172 232 344 464 688 1187 1247 2374 2494 4748 4988 9496 9976 18992 19952 34423 51041 68846 89273 102082 137692 178546 204164 275384 357092 408328 550768 714184 816656 1428368 1480189 2588917 2960378 3838739 5177834 5920756 7677478 10355668 11841512 15354956 20711336 23683024 30709912 41422672 61419824 105967051 111323431 211934102 222646862 423868204 445293724 847736408 890587448 1695472816 1781174896 3073044479 4556583193 6146088958 9113166386 12292177916 18226332772 24584355832 36452665544 49168711664 72905331088 132140912597 264281825194 528563650388 1057127300776 2114254601552