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16442670126474 = 2333536959123953
BaseRepresentation
bin1110111101000101101110…
…0000110001010110001010
32011012220101221201012011000
43233101123200301112022
54123344042023021344
654545354113115430
73314641460012544
oct357213340612612
964186357635130
1016442670126474
11526a32a6993a9
121a16848b58b76
139236ca1330a7
1440bb88146694
151d7aa18dea69
hexef45b83158a

16442670126474 has 64 divisors (see below), whose sum is σ = 36648338803200. Its totient is φ = 5464533989376.

The previous prime is 16442670126469. The next prime is 16442670126497. The reversal of 16442670126474 is 47462107624461.

It is a happy number.

16442670126474 is a `hidden beast` number, since 1 + 6 + 4 + 42 + 6 + 7 + 0 + 126 + 474 = 666.

16442670126474 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×164426701264743 (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 Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 16442670126474.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132590482 + ... + 132714434.

It is an arithmetic number, because the mean of its divisors is an integer number (572630293800).

Almost surely, 216442670126474 is an apocalyptic number.

16442670126474 is an abundant number, since it is smaller than the sum of its proper divisors (20205668676726).

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

16442670126474 is a wasteful number, since it uses less digits than its factorization.

16442670126474 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131276 (or 131270 counting only the distinct ones).

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

The spelling of 16442670126474 in words is "sixteen trillion, four hundred forty-two billion, six hundred seventy million, one hundred twenty-six thousand, four hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 54 353 706 1059 2118 3177 6354 6959 9531 13918 19062 20877 41754 62631 123953 125262 187893 247906 371859 375786 743718 1115577 2231154 2456527 3346731 4913054 6693462 7369581 14739162 22108743 43755409 44217486 66326229 87510818 131266227 132652458 262532454 393798681 787597362 862588927 1181396043 1725177854 2362792086 2587766781 5175533562 7763300343 15526600686 23289901029 46579802058 304493891231 608987782462 913481673693 1826963347386 2740445021079 5480890042158 8221335063237 16442670126474