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10692387216 = 24327212312
BaseRepresentation
bin10011111010101000…
…01110000110010000
31000121011121112211100
421331110032012100
5133344222342331
64524554544400
7525652535400
oct117524160620
930534545740
1010692387216
114597634855
1220a4a38100
131015292754
147360b8800
15428a79ae6
hex27d50e190

10692387216 has 135 divisors (see below), whose sum is σ = 34837657803. Its totient is φ = 3052486080.

The previous prime is 10692387197. The next prime is 10692387229. The reversal of 10692387216 is 61278329601.

The square root of 10692387216 is 103404.

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

It is a super-2 number, since 2×106923872162 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8685321 + ... + 8686551.

Almost surely, 210692387216 is an apocalyptic number.

10692387216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10692387216 is the 103404-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10692387216

10692387216 is an abundant number, since it is smaller than the sum of its proper divisors (24145270587).

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

10692387216 is an equidigital number, since it uses as much as digits as its factorization.

10692387216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2490 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 10692387216 in words is "ten billion, six hundred ninety-two million, three hundred eighty-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1231 1764 2352 2462 3528 3693 4924 7056 7386 8617 9848 11079 14772 17234 19696 22158 25851 29544 34468 44316 51702 59088 60319 68936 77553 88632 103404 120638 137872 155106 177264 180957 206808 241276 310212 361914 413616 482552 542871 620424 723828 965104 1085742 1240848 1447656 1515361 2171484 2895312 3030722 4342968 4546083 6061444 8685936 9092166 10607527 12122888 13638249 18184332 21215054 24245776 27276498 31822581 36368664 42430108 54552996 63645162 72737328 74252689 84860216 95467743 109105992 127290324 148505378 169720432 190935486 218211984 222758067 254580648 297010756 381870972 445516134 509161296 594021512 668274201 763741944 891032268 1188043024 1336548402 1527483888 1782064536 2673096804 3564129072 5346193608 10692387216