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11293769216 = 2931799007
BaseRepresentation
bin10101000010010100…
…10011111000000000
31002011002012220211202
422201022103320000
5141112201103331
65104400400332
7546604311602
oct124112237000
932132186752
1011293769216
114876046a74
1222323160a8
1310aca533a2
14791d01172
1546176becb
hex2a1293e00

11293769216 has 80 divisors (see below), whose sum is σ = 23590871040. Its totient is φ = 5394954240.

The previous prime is 11293769209. The next prime is 11293769237. The reversal of 11293769216 is 61296739211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1249385 + ... + 1258391.

It is an arithmetic number, because the mean of its divisors is an integer number (294885888).

Almost surely, 211293769216 is an apocalyptic number.

11293769216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11293769216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11795435520).

11293769216 is an abundant number, since it is smaller than the sum of its proper divisors (12297101824).

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

11293769216 is an frugal number, since it uses more digits than its factorization.

11293769216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9135 (or 9119 counting only the distinct ones).

The product of its digits is 244944, while the sum is 47.

The spelling of 11293769216 in words is "eleven billion, two hundred ninety-three million, seven hundred sixty-nine thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 31 32 62 64 79 124 128 158 248 256 316 496 512 632 992 1264 1984 2449 2528 3968 4898 5056 7936 9007 9796 10112 15872 18014 19592 20224 36028 39184 40448 72056 78368 144112 156736 279217 288224 313472 558434 576448 626944 711553 1116868 1152896 1253888 1423106 2233736 2305792 2846212 4467472 4611584 5692424 8934944 11384848 17869888 22058143 22769696 35739776 44116286 45539392 71479552 88232572 91078784 142959104 176465144 182157568 352930288 364315136 705860576 1411721152 2823442304 5646884608 11293769216