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2105764454676 = 2234311709238237
BaseRepresentation
bin11110101001001001010…
…101111010000100010100
321110022100100022211110010
4132221021111322010110
5234000101200022201
64251212544200220
7305064543351621
oct36511125720424
97408310284403
102105764454676
11742060157013
122a0140309070
1312375a3bb52c
1473cc3327348
1539b98323bd6
hex1ea4957a114

2105764454676 has 48 divisors (see below), whose sum is σ = 4927752910080. Its totient is φ = 699880191360.

The previous prime is 2105764454663. The next prime is 2105764454681. The reversal of 2105764454676 is 6764544675012.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 8719830 + ... + 8958066.

It is an arithmetic number, because the mean of its divisors is an integer number (102661518960).

Almost surely, 22105764454676 is an apocalyptic number.

It is an amenable number.

2105764454676 is an abundant number, since it is smaller than the sum of its proper divisors (2821988455404).

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

2105764454676 is a wasteful number, since it uses less digits than its factorization.

2105764454676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240384 (or 240382 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 57.

The spelling of 2105764454676 in words is "two trillion, one hundred five billion, seven hundred sixty-four million, four hundred fifty-four thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 12 431 862 1293 1709 1724 2586 3418 5127 5172 6836 10254 20508 238237 476474 714711 736579 952948 1429422 1473158 2209737 2858844 2946316 4419474 8838948 102680147 205360294 308040441 407147033 410720588 616080882 814294066 1221441099 1232161764 1628588132 2442882198 4885764396 175480371223 350960742446 526441113669 701921484892 1052882227338 2105764454676