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145215506106 = 23411194288957
BaseRepresentation
bin1000011100111110000…
…1001100011010111010
3111212211022121001010000
42013033201030122322
54334400132143411
6150413332133430
713330401302316
oct2071741143272
9455738531100
10145215506106
1156649405070
1224188467276
1310903276998
14705818ab46
153b9da46956
hex21cf84c6ba

145215506106 has 80 divisors (see below), whose sum is σ = 373654020960. Its totient is φ = 41688652320.

The previous prime is 145215506021. The next prime is 145215506123. The reversal of 145215506106 is 601605512541.

145215506106 is a `hidden beast` number, since 1 + 45 + 2 + 1 + 5 + 506 + 106 = 666.

145215506106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 39 ways as a sum of consecutive naturals, for example, 2110621 + ... + 2178336.

It is an arithmetic number, because the mean of its divisors is an integer number (4670675262).

Almost surely, 2145215506106 is an apocalyptic number.

145215506106 is an abundant number, since it is smaller than the sum of its proper divisors (228438514854).

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

145215506106 is a wasteful number, since it uses less digits than its factorization.

145215506106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4289001 (or 4288992 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 145215506106 in words is "one hundred forty-five billion, two hundred fifteen million, five hundred six thousand, one hundred six".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 81 99 114 162 171 198 209 297 342 418 513 594 627 891 1026 1254 1539 1782 1881 3078 3762 5643 11286 16929 33858 4288957 8577914 12866871 25733742 38600613 47178527 77201226 81490183 94357054 115801839 141535581 162980366 231603678 244470549 283071162 347405517 424606743 488941098 694811034 733411647 849213486 896392013 1273820229 1466823294 1792784026 2200234941 2547640458 2689176039 3821460687 4400469882 5378352078 6600704823 7642921374 8067528117 13201409646 16135056234 24202584351 48405168702 72607753053 145215506106