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16442621502252 = 223114319115166847
BaseRepresentation
bin1110111101000101100010…
…0111010010001100101100
32011012220021120012211020220
43233101120213102030230
54123343442101033002
654545345215011340
73314640326505141
oct357213047221454
964186246184226
1016442621502252
11526a3051a82a0
121a16834809b50
139236c0039c6a
1440bb818ca3c8
151d7a9c4d77bc
hexef4589d232c

16442621502252 has 96 divisors (see below), whose sum is σ = 43051522719744. Its totient is φ = 4841257243200.

The previous prime is 16442621502233. The next prime is 16442621502253. The reversal of 16442621502252 is 25220512624461.

It is a happy number.

16442621502252 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 3×164426215022523 (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (16442621502253) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6499308 + ... + 8667539.

It is an arithmetic number, because the mean of its divisors is an integer number (448453361664).

Almost surely, 216442621502252 is an apocalyptic number.

16442621502252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

16442621502252 is an abundant number, since it is smaller than the sum of its proper divisors (26608901217492).

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

16442621502252 is a wasteful number, since it uses less digits than its factorization.

16442621502252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15167099 (or 15167097 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 16442621502252 in words is "sixteen trillion, four hundred forty-two billion, six hundred twenty-one million, five hundred two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 43 44 66 86 129 132 172 191 258 382 473 516 573 764 946 1146 1419 1892 2101 2292 2838 4202 5676 6303 8213 8404 12606 16426 24639 25212 32852 49278 90343 98556 180686 271029 361372 542058 1084116 15166847 30333694 45500541 60667388 91001082 166835317 182002164 333670634 500505951 652174421 667341268 1001011902 1304348842 1956523263 2002023804 2608697684 2896867777 3913046526 5793735554 7173918631 7826093052 8690603331 11587471108 14347837262 17381206662 21521755893 28695674524 31865545547 34762413324 43043511786 63731091094 86087023572 95596636641 124565314411 127462182188 191193273282 249130628822 373695943233 382386546564 498261257644 747391886466 1370218458521 1494783772932 2740436917042 4110655375563 5480873834084 8221310751126 16442621502252