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16442670124476 = 2233421736103141
BaseRepresentation
bin1110111101000101101110…
…0000110000110110111100
32011012220101221201002102000
43233101123200300312330
54123344042022440401
654545354113102300
73314641460003661
oct357213340606674
964186357632360
1016442670124476
11526a32a697952
121a16848b57990
139236ca1321cb
1440bb88145a68
151d7aa18de186
hexef45b830dbc

16442670124476 has 48 divisors (see below), whose sum is σ = 42639254827680. Its totient is φ = 5479590176640.

The previous prime is 16442670124471. The next prime is 16442670124537. The reversal of 16442670124476 is 67442107624461.

It is a happy number.

16442670124476 is a `hidden beast` number, since 1 + 6 + 4 + 42 + 6 + 7 + 0 + 124 + 476 = 666.

It is a super-3 number, since 3×164426701244763 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16442670124471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17596135 + ... + 18507006.

It is an arithmetic number, because the mean of its divisors is an integer number (888317808910).

Almost surely, 216442670124476 is an apocalyptic number.

It is an amenable number.

16442670124476 is an abundant number, since it is smaller than the sum of its proper divisors (26196584703204).

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

16442670124476 is a wasteful number, since it uses less digits than its factorization.

16442670124476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36107371 (or 36107363 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 16442670124476 in words is "sixteen trillion, four hundred forty-two billion, six hundred seventy million, one hundred twenty-four thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 4217 8434 12651 16868 25302 37953 50604 75906 113859 151812 227718 455436 36103141 72206282 108309423 144412564 216618846 324928269 433237692 649856538 974784807 1299713076 1949569614 3899139228 152246945597 304493891194 456740836791 608987782388 913481673582 1370222510373 1826963347164 2740445020746 4110667531119 5480890041492 8221335062238 16442670124476