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108541255936 = 285923492
BaseRepresentation
bin110010100010110010…
…0000010000100000000
3101101011102112002201011
41211011210002010000
53234243030142221
6121510235450304
710561516311211
oct1450544020400
9341142462634
10108541255936
1142039789103
12190522b6994
13a30a221039
14537957d408
152c53eec1e1
hex1945902100

108541255936 has 81 divisors (see below), whose sum is σ = 221026249101. Its totient is φ = 53197919232.

The previous prime is 108541255919. The next prime is 108541255969. The reversal of 108541255936 is 639552145801.

The square root of 108541255936 is 329456.

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., 79668449536 + 28872806400 = 282256^2 + 169920^2 .

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 108541255936.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 311006290 + ... + 311006638.

Almost surely, 2108541255936 is an apocalyptic number.

108541255936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

108541255936 is the 329456-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108541255936

108541255936 is an abundant number, since it is smaller than the sum of its proper divisors (112484993165).

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

108541255936 is an frugal number, since it uses more digits than its factorization.

108541255936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 49.

Multiplying 108541255936 by its sum of digits (49), we get a square (5318521540864 = 23061922).

The spelling of 108541255936 in words is "one hundred eight billion, five hundred forty-one million, two hundred fifty-five thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 256 349 472 698 944 1396 1888 2792 3481 3776 5584 6962 7552 11168 13924 15104 20591 22336 27848 41182 44672 55696 82364 89344 111392 121801 164728 222784 243602 329456 445568 487204 658912 891136 974408 1214869 1317824 1948816 2429738 2635648 3897632 4859476 5271296 7186259 7795264 9718952 14372518 15590528 19437904 28745036 31181056 38875808 57490072 77751616 114980144 155503232 229960288 311006464 423989281 459920576 847978562 919841152 1695957124 1839682304 3391914248 6783828496 13567656992 27135313984 54270627968 108541255936