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2114654403216 = 2432322954115461
BaseRepresentation
bin11110110001011011001…
…110010111101010010000
321111011021220100000020110
4132301123032113222100
5234121303011400331
64255243034441320
7305531051565135
oct36613316275220
97434256300213
102114654403216
11745902310a23
122a1a01593240
13124546118c04
14744c7c9258c
153a018a12946
hex1ec5b397a90

2114654403216 has 160 divisors (see below), whose sum is σ = 5736218929920. Its totient is φ = 670009190400.

The previous prime is 2114654403203. The next prime is 2114654403221. The reversal of 2114654403216 is 6123044564112.

It is a super-2 number, since 2×21146544032162 (a number of 25 digits) contains 22 as substring.

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, 136765726 + ... + 136781186.

It is an arithmetic number, because the mean of its divisors is an integer number (35851368312).

Almost surely, 22114654403216 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 2114654403216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2868109464960).

2114654403216 is an abundant number, since it is smaller than the sum of its proper divisors (3621564526704).

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

2114654403216 is a wasteful number, since it uses less digits than its factorization.

2114654403216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16265 (or 16259 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

Adding to 2114654403216 its reverse (6123044564112), we get a palindrome (8237698967328).

The spelling of 2114654403216 in words is "two trillion, one hundred fourteen billion, six hundred fifty-four million, four hundred three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 229 276 368 458 541 552 687 916 1082 1104 1374 1623 1832 2164 2748 3246 3664 4328 5267 5496 6492 8656 10534 10992 12443 12984 15461 15801 21068 24886 25968 30922 31602 37329 42136 46383 49772 61844 63204 74658 84272 92766 99544 123688 123889 126408 149316 185532 199088 247376 247778 252816 298632 355603 371064 371667 495556 597264 711206 742128 743334 991112 1066809 1422412 1486668 1982224 2133618 2844824 2849447 2973336 3540569 4267236 5689648 5698894 5946672 7081138 8364401 8534472 8548341 10621707 11397788 14162276 16728802 17068944 17096682 21243414 22795576 25093203 28324552 33457604 34193364 42486828 45591152 50186406 56649104 66915208 68386728 81433087 84973656 100372812 133830416 136773456 162866174 169947312 192381223 200745624 244299261 325732348 384762446 401491248 488598522 577143669 651464696 769524892 977197044 1154287338 1302929392 1539049784 1915447829 1954394088 2308574676 3078099568 3830895658 3908788176 4617149352 5746343487 7661791316 9234298704 11492686974 15323582632 22985373948 30647165264 44055300067 45970747896 88110600134 91941495792 132165900201 176221200268 264331800402 352442400536 528663600804 704884801072 1057327201608 2114654403216