Search a number
-
+
109078695552 = 2731725916449
BaseRepresentation
bin110010110010110011…
…0001100111010000000
3101102112212210212021010
41211211212030322000
53241343121224202
6122035435000520
710611033420441
oct1454546147200
9342485725233
10109078695552
1142295097482
1219182299140
13a394684448
1453caabd2c8
152c862ad76c
hex196598ce80

109078695552 has 128 divisors (see below), whose sum is σ = 306949824000. Its totient is φ = 34202255360.

The previous prime is 109078695547. The next prime is 109078695589. The reversal of 109078695552 is 255596870901.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 109078695492 and 109078695501.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16910824 + ... + 16917272.

It is an arithmetic number, because the mean of its divisors is an integer number (2398045500).

Almost surely, 2109078695552 is an apocalyptic number.

109078695552 is a gapful number since it is divisible by the number (12) 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 109078695552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153474912000).

109078695552 is an abundant number, since it is smaller than the sum of its proper divisors (197871128448).

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

109078695552 is a wasteful number, since it uses less digits than its factorization.

109078695552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9074 (or 9062 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 57.

The spelling of 109078695552 in words is "one hundred nine billion, seventy-eight million, six hundred ninety-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 816 1088 1632 2176 2591 3264 5182 6449 6528 7773 10364 12898 15546 19347 20728 25796 31092 38694 41456 44047 51592 62184 77388 82912 88094 103184 109633 124368 132141 154776 165824 176188 206368 219266 248736 264282 309552 328899 331648 352376 412736 438532 497472 528564 619104 657798 704752 825472 877064 994944 1057128 1238208 1315596 1409504 1754128 2114256 2476416 2631192 2819008 3508256 4228512 5262384 5638016 7016512 8457024 10524768 14033024 16709359 16914048 21049536 33418718 42099072 50128077 66837436 100256154 133674872 200512308 267349744 284059103 401024616 534699488 568118206 802049232 852177309 1069398976 1136236412 1604098464 1704354618 2138797952 2272472824 3208196928 3408709236 4544945648 6416393856 6817418472 9089891296 13634836944 18179782592 27269673888 36359565184 54539347776 109078695552