Search a number
-
+
11454034235350 = 2527712711170021
BaseRepresentation
bin1010011010101101100110…
…1001000100111111010110
31111112222212100011121110011
42212223121221010333112
53000130330231012400
640205524412550434
72261345434412230
oct246533151047726
944488770147404
1011454034235350
1137166a07a1063
12134ba50a8241a
1365115954c505
142b8541b71250
1514ce2bbd18ba
hexa6ad9a44fd6

11454034235350 has 96 divisors (see below), whose sum is σ = 24700186801152. Its totient is φ = 3870335280000.

The previous prime is 11454034235327. The next prime is 11454034235353. The reversal of 11454034235350 is 5353243045411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11454034235353) 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, 67283340 + ... + 67453360.

It is an arithmetic number, because the mean of its divisors is an integer number (257293612512).

Almost surely, 211454034235350 is an apocalyptic number.

11454034235350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11454034235350 is an abundant number, since it is smaller than the sum of its proper divisors (13246152565802).

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

11454034235350 is a wasteful number, since it uses less digits than its factorization.

11454034235350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172822 (or 172817 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 40.

The spelling of 11454034235350 in words is "eleven trillion, four hundred fifty-four billion, thirty-four million, two hundred thirty-five thousand, three hundred fifty".

Divisors: 1 2 5 7 10 14 25 35 50 70 71 142 175 350 355 497 710 994 1775 2485 2711 3550 4970 5422 12425 13555 18977 24850 27110 37954 67775 94885 135550 170021 189770 192481 340042 384962 474425 850105 948850 962405 1190147 1347367 1700210 1924810 2380294 2694734 4250525 4812025 5950735 6736835 8501050 9624050 11901470 12071491 13473670 24142982 29753675 33684175 59507350 60357455 67368350 84500437 120714910 169000874 301787275 422502185 460926931 603574550 845004370 921853862 2112510925 2304634655 3226488517 4225021850 4609269310 6452977034 11523173275 16132442585 23046346550 32264885170 32725812101 65451624202 80662212925 161324425850 163629060505 229080684707 327258121010 458161369414 818145302525 1145403423535 1636290605050 2290806847070 5727017117675 11454034235350