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145369264536 = 233217532240863
BaseRepresentation
bin1000011101100010101…
…1101111000110011000
3111220020000220210000200
42013120223233012120
54340204012431121
6150440503502200
713334246234526
oct2073053570630
9456200823020
10145369264536
1156718184051
122420ba57960
13109290904c2
147070773316
153bac2b9a26
hex21d8aef198

145369264536 has 96 divisors (see below), whose sum is σ = 424733362560. Its totient is φ = 44745532416.

The previous prime is 145369264489. The next prime is 145369264571. The reversal of 145369264536 is 635462963541.

145369264536 is a `hidden beast` number, since 1 + 45 + 3 + 6 + 9 + 2 + 64 + 536 = 666.

145369264536 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 2×1453692645362 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1055560 + ... + 1185303.

It is an arithmetic number, because the mean of its divisors is an integer number (4424305860).

Almost surely, 2145369264536 is an apocalyptic number.

It is an amenable number.

145369264536 is an abundant number, since it is smaller than the sum of its proper divisors (279364098024).

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

145369264536 is a wasteful number, since it uses less digits than its factorization.

145369264536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2240945 (or 2240938 counting only the distinct ones).

The product of its digits is 13996800, while the sum is 54.

The spelling of 145369264536 in words is "one hundred forty-five billion, three hundred sixty-nine million, two hundred sixty-four thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 53 68 72 102 106 136 153 159 204 212 306 318 408 424 477 612 636 901 954 1224 1272 1802 1908 2703 3604 3816 5406 7208 8109 10812 16218 21624 32436 64872 2240863 4481726 6722589 8963452 13445178 17926904 20167767 26890356 38094671 40335534 53780712 76189342 80671068 114284013 118765739 152378684 161342136 228568026 237531478 304757368 342852039 356297217 457136052 475062956 685704078 712594434 914272104 950125912 1068891651 1371408156 1425188868 2019017563 2137783302 2742816312 2850377736 4038035126 4275566604 6057052689 8076070252 8551133208 12114105378 16152140504 18171158067 24228210756 36342316134 48456421512 72684632268 145369264536