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1109600997376 = 21210921512
BaseRepresentation
bin10000001001011001010…
…111111001000000000000
310221002002000000222011011
4100021121113321000000
5121134430323404001
62205424344130304
7143110642600354
oct20113127710000
93832060028134
101109600997376
11398640921473
1215b06b166994
1380833c13101
143b9c2645464
151dce37e5d51
hex102595f9000

1109600997376 has 117 divisors (see below), whose sum is σ = 2254404203793. Its totient is φ = 546070118400.

The previous prime is 1109600997371. The next prime is 1109600997377. The reversal of 1109600997376 is 6737990069011.

The square root of 1109600997376 is 1053376.

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., 773386571776 + 336214425600 = 879424^2 + 579840^2 .

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1109600997376.

It is not an unprimeable number, because it can be changed into a prime (1109600997371) 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, 7348350901 + ... + 7348351051.

Almost surely, 21109600997376 is an apocalyptic number.

1109600997376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1109600997376 is the 1053376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1109600997376

1109600997376 is an abundant number, since it is smaller than the sum of its proper divisors (1144803206417).

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

1109600997376 is an frugal number, since it uses more digits than its factorization.

1109600997376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 3857868, while the sum is 58.

The spelling of 1109600997376 in words is "one trillion, one hundred nine billion, six hundred million, nine hundred ninety-seven thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 109 128 151 218 256 302 436 512 604 872 1024 1208 1744 2048 2416 3488 4096 4832 6976 9664 11881 13952 16459 19328 22801 23762 27904 32918 38656 45602 47524 55808 65836 77312 91204 95048 111616 131672 154624 182408 190096 223232 263344 309248 364816 380192 446464 526688 618496 729632 760384 1053376 1459264 1520768 1794031 2106752 2485309 2918528 3041536 3588062 4213504 4970618 5837056 6083072 7176124 8427008 9941236 11674112 12166144 14352248 16854016 19882472 23348224 24332288 28704496 33708032 39764944 46696448 48664576 57408992 67416064 79529888 93392896 114817984 159059776 229635968 270898681 318119552 459271936 541797362 636239104 918543872 1083594724 1272478208 1837087744 2167189448 2544956416 3674175488 4334378896 5089912832 7348350976 8668757792 10179825664 17337515584 34675031168 69350062336 138700124672 277400249344 554800498688 1109600997376