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401418535572 = 223229409393941
BaseRepresentation
bin1011101011101100110…
…10001100001010010100
31102101010112210102222100
411311312122030022110
523034101121114242
6504224212202100
741000345153145
oct5656632141224
91371115712870
10401418535572
1114527133114a
126596a309330
132bb134a97c2
141560073bacc
15a69620054c
hex5d7668c294

401418535572 has 72 divisors (see below), whose sum is σ = 1049954036040. Its totient is φ = 129159233280.

The previous prime is 401418535571. The next prime is 401418535603. The reversal of 401418535572 is 275535814104.

401418535572 is a `hidden beast` number, since 4 + 0 + 1 + 41 + 8 + 5 + 35 + 572 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20539475856 + 380879059716 = 143316^2 + 617154^2 .

It is a super-2 number, since 2×4014185355722 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401418535571) by changing a digit.

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, 4226122 + ... + 4320062.

It is an arithmetic number, because the mean of its divisors is an integer number (14582694945).

Almost surely, 2401418535572 is an apocalyptic number.

It is an amenable number.

401418535572 is an abundant number, since it is smaller than the sum of its proper divisors (648535500468).

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

401418535572 is a wasteful number, since it uses less digits than its factorization.

401418535572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98073 (or 98068 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 401418535572 in words is "four hundred one billion, four hundred eighteen million, five hundred thirty-five thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 4093 8186 12279 16372 24558 36837 49116 73674 93941 118697 147348 187882 237394 281823 356091 375764 474788 563646 712182 845469 1068273 1127292 1424364 1690938 2136546 2724289 3381876 4273092 5448578 8172867 10897156 16345734 24518601 32691468 49037202 98074404 384500513 769001026 1153501539 1538002052 2307003078 3460504617 4614006156 6921009234 11150514877 13842018468 22301029754 33451544631 44602059508 66903089262 100354633893 133806178524 200709267786 401418535572