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470541145074 = 237112137122289
BaseRepresentation
bin1101101100011100111…
…00000001001111110010
31122222112211011211100120
412312032130001033302
530202132013120244
61000055201431110
745665306512050
oct6661634011762
91588484154316
10470541145074
11171612233800
127723b33b496
13354aac15880
1418abaa011d0
15c38e79d819
hex6d8e7013f2

470541145074 has 96 divisors (see below), whose sum is σ = 1273123582080. Its totient is φ = 112817041920.

The previous prime is 470541145073. The next prime is 470541145097.

470541145074 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4705411450742 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (470541145073) 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, 3495079 + ... + 3627210.

It is an arithmetic number, because the mean of its divisors is an integer number (13261703980).

Almost surely, 2470541145074 is an apocalyptic number.

470541145074 is an abundant number, since it is smaller than the sum of its proper divisors (802582437006).

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

470541145074 is a wasteful number, since it uses less digits than its factorization.

470541145074 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7122336 (or 7122325 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 42.

The spelling of 470541145074 in words is "four hundred seventy billion, five hundred forty-one million, one hundred forty-five thousand, seventy-four".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 121 143 154 182 231 242 273 286 363 429 462 546 726 847 858 1001 1573 1694 2002 2541 3003 3146 4719 5082 6006 9438 11011 22022 33033 66066 7122289 14244578 21366867 42733734 49856023 78345179 92589757 99712046 149568069 156690358 185179514 235035537 277769271 299136138 470071074 548416253 555538542 648128299 861796969 1018487327 1096832506 1296256598 1645248759 1723593938 1944384897 2036974654 2585390907 3055461981 3290497518 3888769794 5170781814 6032578783 6110923962 7129411289 11203360597 12065157566 14258822578 18097736349 21388233867 22406721194 33610081791 36195472698 42776467734 67220163582 78423524179 156847048358 235270572537 470541145074