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1216891384384 = 26132106072
BaseRepresentation
bin10001101101010100011…
…000001111001001000000
311022100000020211100021111
4101231110120033021000
5124414143143300014
62331010541333104
7153626463046444
oct21552430171100
94270006740244
101216891384384
1142a09850a1a5
12177a12567194
138a9a1c3bc00
1442c7da12824
15219c2aaa2c4
hex11b5460f240

1216891384384 has 63 divisors (see below), whose sum is σ = 2615055403737. Its totient is φ = 561589227264.

The previous prime is 1216891384381. The next prime is 1216891384393. The reversal of 1216891384384 is 4834831986121.

The square root of 1216891384384 is 1103128.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 180013518400 + 1036877865984 = 424280^2 + 1018272^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1216891384381) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 114720009 + ... + 114730615.

Almost surely, 21216891384384 is an apocalyptic number.

1216891384384 is the 1103128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1216891384384

1216891384384 is an abundant number, since it is smaller than the sum of its proper divisors (1398164019353).

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

1216891384384 is an frugal number, since it uses more digits than its factorization.

1216891384384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21252 (or 10622 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 58.

The spelling of 1216891384384 in words is "one trillion, two hundred sixteen billion, eight hundred ninety-one million, three hundred eighty-four thousand, three hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 832 1352 2704 5408 10607 10816 21214 42428 84856 137891 169712 275782 339424 551564 678848 1103128 1792583 2206256 3585166 4412512 7170332 8825024 14340664 28681328 57362656 112508449 114725312 225016898 450033796 900067592 1462609837 1800135184 2925219674 3600270368 5850439348 7200540736 11700878696 19013927881 23401757392 38027855762 46803514784 76055711524 93607029568 152111423048 304222846096 608445692192 1216891384384