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2114453636416 = 261179293129757
BaseRepresentation
bin11110110001001111010…
…000100000010101000000
321111010202220112222222001
4132301033100200111000
5234120400112331131
64255211103353344
7305523063235162
oct36611720402500
97433686488861
102114453636416
11745809a54950
122a19662b2854
131245136538a4
14744a9350932
153a0060a6261
hex1ec4f420540

2114453636416 has 112 divisors (see below), whose sum is σ = 4651108035840. Its totient is φ = 945703249920.

The previous prime is 2114453636341. The next prime is 2114453636453. The reversal of 2114453636416 is 6146363544112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16230610 + ... + 16360366.

It is an arithmetic number, because the mean of its divisors is an integer number (41527750320).

Almost surely, 22114453636416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2114453636416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2325554017920).

2114453636416 is an abundant number, since it is smaller than the sum of its proper divisors (2536654399424).

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

2114453636416 is a wasteful number, since it uses less digits than its factorization.

2114453636416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130152 (or 130142 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 46.

The spelling of 2114453636416 in words is "two trillion, one hundred fourteen billion, four hundred fifty-three million, six hundred thirty-six thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 79 88 158 176 293 316 352 586 632 704 869 1172 1264 1738 2344 2528 3223 3476 4688 5056 6446 6952 9376 12892 13904 18752 23147 25784 27808 46294 51568 55616 92588 103136 129757 185176 206272 254617 259514 370352 509234 519028 740704 1018468 1038056 1427327 1481408 2036936 2076112 2854654 4073872 4152224 5709308 8147744 8304448 10250803 11418616 16295488 20501606 22837232 38018801 41003212 45674464 76037602 82006424 91348928 112758833 152075204 164012848 225517666 304150408 328025696 418206811 451035332 608300816 656051392 836413622 902070664 1216601632 1672827244 1804141328 2433203264 3003485279 3345654488 3608282656 6006970558 6691308976 7216565312 12013941116 13382617952 24027882232 26765235904 33038338069 48055764464 66076676138 96111528928 132153352276 192223057856 264306704552 528613409104 1057226818208 2114453636416