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108655481354436 = 2232712244692
BaseRepresentation
bin11000101101001001010011…
…010111100111100011000100
3112020201100210022111210222100
4120231021103113213203010
5103220202411211320221
61023031350011032100
731613046055555452
oct3055112327474304
9466640708453870
10108655481354436
1131691592644745
121022a1b0a3b630
134882224c201c3
141cb8d4c0279d2
15c865a2282926
hex62d2535e78c4

108655481354436 has 81 divisors (see below), whose sum is σ = 278591188484973. Its totient is φ = 35706914822880.

The previous prime is 108655481354423. The next prime is 108655481354447. The reversal of 108655481354436 is 634453184556801.

The square root of 108655481354436 is 10423794.

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

108655481354436 is a `hidden beast` number, since 1 + 0 + 8 + 6 + 5 + 5 + 4 + 81 + 3 + 544 + 3 + 6 = 666.

108655481354436 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 15800672700036 + 92854808654400 = 3975006^2 + 9636120^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4440524010 + ... + 4440548478.

Almost surely, 2108655481354436 is an apocalyptic number.

108655481354436 is the 10423794-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108655481354436

108655481354436 is an abundant number, since it is smaller than the sum of its proper divisors (169935707130537).

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

108655481354436 is an frugal number, since it uses more digits than its factorization.

108655481354436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49090 (or 24545 counting only the distinct ones).

The product of its (nonzero) digits is 165888000, while the sum is 63.

The spelling of 108655481354436 in words is "one hundred eight trillion, six hundred fifty-five billion, four hundred eighty-one million, three hundred fifty-four thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 426 639 852 1278 2556 5041 10082 15123 20164 24469 30246 45369 48938 60492 73407 90738 97876 146814 181476 220221 293628 440442 880884 1737299 3474598 5211897 6949196 10423794 15635691 20847588 31271382 62542764 123348229 246696458 370044687 493392916 598731961 740089374 1110134061 1197463922 1480178748 1796195883 2220268122 2394927844 3592391766 4440536244 5388587649 7184783532 10777175298 21554350596 42509969231 85019938462 127529907693 170039876924 255059815386 382589723079 510119630772 765179446158 1530358892316 3018207815401 6036415630802 9054623446203 12072831261604 18109246892406 27163870338609 36218493784812 54327740677218 108655481354436