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11922322416 = 243432134333
BaseRepresentation
bin10110001101010000…
…00011001111110000
31010202212221201201220
423012220003033300
5143404103304131
65251012425040
7601306032324
oct130650031760
933685851656
1011922322416
115068927324
122388918180
131180038564
1481159b984
1549ba29e96
hex2c6a033f0

11922322416 has 60 divisors (see below), whose sum is σ = 31532488488. Its totient is φ = 3881657472.

The previous prime is 11922322403. The next prime is 11922322421. The reversal of 11922322416 is 61422322911.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21586 + ... + 155918.

Almost surely, 211922322416 is an apocalyptic number.

11922322416 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 11922322416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15766244244).

11922322416 is an abundant number, since it is smaller than the sum of its proper divisors (19610166072).

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

11922322416 is a wasteful number, since it uses less digits than its factorization.

11922322416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134430 (or 134381 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The spelling of 11922322416 in words is "eleven billion, nine hundred twenty-two million, three hundred twenty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 344 516 688 1032 1849 2064 3698 5547 7396 11094 14792 22188 29584 44376 88752 134333 268666 402999 537332 805998 1074664 1611996 2149328 3223992 5776319 6447984 11552638 17328957 23105276 34657914 46210552 69315828 92421104 138631656 248381717 277263312 496763434 745145151 993526868 1490290302 1987053736 2980580604 3974107472 5961161208 11922322416