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421645005261 = 32375361457857
BaseRepresentation
bin1100010001011000000…
…00000011000111001101
31111022100011110120020100
412020230000003013031
523402012110132021
6521411231441313
742314520260424
oct6105400030715
91438304416210
10421645005261
111529006821a7
1269874086239
13309b7a7886c
141659cb362bb
15ae7bca3626
hex622c0031cd

421645005261 has 96 divisors (see below), whose sum is σ = 649927875168. Its totient is φ = 263055237120.

The previous prime is 421645005253. The next prime is 421645005319. The reversal of 421645005261 is 162500546124.

421645005261 is a `hidden beast` number, since 4 + 2 + 1 + 645 + 0 + 0 + 5 + 2 + 6 + 1 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 4837898025 + 416807107236 = 69555^2 + 645606^2 .

It is not a de Polignac number, because 421645005261 - 23 = 421645005253 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421645005161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 492000745 + ... + 492001601.

It is an arithmetic number, because the mean of its divisors is an integer number (6770082033).

Almost surely, 2421645005261 is an apocalyptic number.

It is an amenable number.

421645005261 is a deficient number, since it is larger than the sum of its proper divisors (228282869907).

421645005261 is a wasteful number, since it uses less digits than its factorization.

421645005261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1471 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 421645005261 in words is "four hundred twenty-one billion, six hundred forty-five million, five thousand, two hundred sixty-one".

Divisors: 1 3 9 37 53 61 111 159 183 333 457 477 549 857 1371 1961 2257 2571 3233 4113 5883 6771 7713 9699 16909 17649 20313 24221 27877 29097 31709 45421 50727 52277 72663 83631 95127 119621 136263 152181 156831 217989 250893 285381 358863 391649 408789 470493 896177 1031449 1076589 1174947 1477481 1680577 1934249 2688531 2770681 3094347 3524841 4432443 5041731 5802747 8065593 8312043 9283041 13297329 14491013 15125193 17408241 20757397 23890589 24936129 43473039 54666797 62272191 71671767 102515197 130419117 164000391 186816573 215015301 307545591 492001173 768023689 883951793 922636773 1266201217 2304071067 2651855379 3798603651 6912213201 7955566137 11395810953 46849445029 140548335087 421645005261