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156420071253601 = 2924312692
BaseRepresentation
bin100011100100001101100010…
…110010000110011001100001
3202111211121112201012001010121
4203210031202302012121201
5131000241301220103401
61312402215544000241
744642656120050121
oct4344154262063141
9674747481161117
10156420071253601
114592741a3a5a01
1215663311460081
1369384708cbc5c
142a8aab3d20c81
151313ca1e03ca1
hex8e4362c86661

156420071253601 has 9 divisors (see below), whose sum is σ = 162000235400601. Its totient is φ = 151025925502704.

The previous prime is 156420071253587. The next prime is 156420071253697. The reversal of 156420071253601 is 106352170024651.

The square root of 156420071253601 is 12506801.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 41174693396001 + 115245377857600 = 6416751^2 + 10735240^2 .

It is not a de Polignac number, because 156420071253601 - 241 = 154221047998049 is a prime.

It is a super-3 number, since 3×1564200712536013 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (156420071253401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 362481595 + ... + 362912863.

Almost surely, 2156420071253601 is an apocalyptic number.

156420071253601 is the 12506801-st square number.

156420071253601 is the 6253401-st centered octagonal number.

It is an amenable number.

156420071253601 is a deficient number, since it is larger than the sum of its proper divisors (5580164147000).

156420071253601 is an frugal number, since it uses more digits than its factorization.

156420071253601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862596 (or 431298 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 43.

The spelling of 156420071253601 in words is "one hundred fifty-six trillion, four hundred twenty billion, seventy-one million, two hundred fifty-three thousand, six hundred one".

Divisors: 1 29 841 431269 12506801 362697229 185992950361 5393795560469 156420071253601