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3454936692516 = 2232172182232
BaseRepresentation
bin110010010001101010010…
…001100011011100100100
3110020021210110220210002100
4302101222101203130210
5423101202243130031
611203102003412100
7504416360224311
oct62215221433444
913207713823070
103454936692516
1111122597692a1
1247970b384030
131c0a5090229a
14bd3112cbd08
155ed0e0d0de6
hex3246a463724

3454936692516 has 81 divisors (see below), whose sum is σ = 9277764638961. Its totient is φ = 1083842227584.

The previous prime is 3454936692509. The next prime is 3454936692521. The reversal of 3454936692516 is 6152966394543.

The square root of 3454936692516 is 1858746.

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

3454936692516 is a `hidden beast` number, since 3 + 4 + 5 + 493 + 6 + 6 + 92 + 51 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2689829604900 + 765107087616 = 1640070^2 + 874704^2 .

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, 189582981 + ... + 189601203.

Almost surely, 23454936692516 is an apocalyptic number.

3454936692516 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3454936692516 is the 1858746-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3454936692516

3454936692516 is an abundant number, since it is smaller than the sum of its proper divisors (5822827946445).

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

3454936692516 is an equidigital number, since it uses as much as digits as its factorization.

3454936692516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36490 (or 18245 counting only the distinct ones).

The product of its digits is 125971200, while the sum is 63.

The spelling of 3454936692516 in words is "three trillion, four hundred fifty-four billion, nine hundred thirty-six million, six hundred ninety-two thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 289 306 578 612 867 1156 1734 2601 3468 5202 10404 18223 36446 54669 72892 109338 164007 218676 309791 328014 619582 656028 929373 1239164 1858746 2788119 3717492 5266447 5576238 10532894 11152476 15799341 21065788 31598682 47398023 63197364 94796046 189592092 332077729 664155458 996233187 1328310916 1992466374 2988699561 3984932748 5645321393 5977399122 11290642786 11954798244 16935964179 22581285572 33871928358 50807892537 67743856716 95970463681 101615785074 191940927362 203231570148 287911391043 383881854724 575822782086 863734173129 1151645564172 1727468346258 3454936692516