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135531553410 = 232511257532687
BaseRepresentation
bin111111000111001001…
…1110110001010000010
3110221211102112021101100
41332032103312022002
54210032034202120
6142132355315230
712535412124141
oct1761623661202
9427742467340
10135531553410
115252a035080
12223252abb16
13ca1bbb5566
1467b9db7758
1537d37b7490
hex1f8e4f6282

135531553410 has 96 divisors (see below), whose sum is σ = 385913279232. Its totient is φ = 32728227840.

The previous prime is 135531553393. The next prime is 135531553429. The reversal of 135531553410 is 14355135531.

135531553410 is a `hidden beast` number, since 1 + 3 + 553 + 15 + 53 + 41 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11914 + ... + 520773.

It is an arithmetic number, because the mean of its divisors is an integer number (4019929992).

Almost surely, 2135531553410 is an apocalyptic number.

135531553410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135531553410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192956639616).

135531553410 is an abundant number, since it is smaller than the sum of its proper divisors (250381725822).

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

135531553410 is a wasteful number, since it uses less digits than its factorization.

135531553410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532968 (or 532965 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

Adding to 135531553410 its reverse (14355135531), we get a palindrome (149886688941).

The spelling of 135531553410 in words is "one hundred thirty-five billion, five hundred thirty-one million, five hundred fifty-three thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 257 330 495 514 771 990 1285 1542 2313 2570 2827 3855 4626 5654 7710 8481 11565 14135 16962 23130 25443 28270 42405 50886 84810 127215 254430 532687 1065374 1598061 2663435 3196122 4794183 5326870 5859557 7990305 9588366 11719114 15980610 17578671 23970915 29297785 35157342 47941830 52736013 58595570 87893355 105472026 136900559 175786710 263680065 273801118 410701677 527360130 684502795 821403354 1232105031 1369005590 1505906149 2053508385 2464210062 3011812298 4107016770 4517718447 6160525155 7529530745 9035436894 12321050310 13553155341 15059061490 22588592235 27106310682 45177184470 67765776705 135531553410