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2045764821816 = 233291946436659
BaseRepresentation
bin11101110001010001000…
…101011110001100111000
321020120110212102200022200
4131301101011132030320
5232004211243244231
64203451131550200
7300541650033402
oct35612105361470
97216425380280
102045764821816
117196709aa881
122905965bb360
1311abb7a5c4b1
147103092bb72
1538335b44be6
hex1dc5115e338

2045764821816 has 96 divisors (see below), whose sum is σ = 5548669776000. Its totient is φ = 680930597952.

The previous prime is 2045764821761. The next prime is 2045764821857. The reversal of 2045764821816 is 6181284675402.

2045764821816 is a `hidden beast` number, since 2 + 0 + 4 + 576 + 48 + 2 + 18 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 307214695 + ... + 307221353.

It is an arithmetic number, because the mean of its divisors is an integer number (57798643500).

Almost surely, 22045764821816 is an apocalyptic number.

It is an amenable number.

2045764821816 is an abundant number, since it is smaller than the sum of its proper divisors (3502904954184).

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

2045764821816 is a wasteful number, since it uses less digits than its factorization.

2045764821816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12233 (or 12226 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 2045764821816 in words is "two trillion, forty-five billion, seven hundred sixty-four million, eight hundred twenty-one thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 919 1838 2757 3676 4643 5514 6659 7352 8271 9286 11028 13318 13929 16542 18572 19977 22056 26636 27858 33084 37144 39954 41787 53272 55716 59931 66168 79908 83574 111432 119862 159816 167148 239724 334296 479448 4266917 6119621 8533834 12239242 12800751 17067668 18358863 24478484 25601502 30917737 34135336 36717726 38402253 48956968 51203004 55076589 61835474 73435452 76804506 92753211 102406008 110153178 123670948 146870904 153609012 185506422 220306356 247341896 278259633 307218024 371012844 440612712 556519266 742025688 1113038532 2226077064 28413400303 56826800606 85240200909 113653601212 170480401818 227307202424 255720602727 340960803636 511441205454 681921607272 1022882410908 2045764821816