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69281609796 = 22347220892
BaseRepresentation
bin100000010000110000…
…0010111100001000100
320121211100120102210000
41000201200113201010
52113342043003141
651454425201300
75001601652400
oct1004140274104
9217740512700
1069281609796
1127422731963
1211516330230
1366c16697a9
1434d3452100
151c075095b6
hex1021817844

69281609796 has 135 divisors (see below), whose sum is σ = 210786645069. Its totient is φ = 19785269952.

The previous prime is 69281609777. The next prime is 69281609819. The reversal of 69281609796 is 69790618296.

It is a happy number.

The square root of 69281609796 is 263214.

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., 61051491396 + 8230118400 = 247086^2 + 90720^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 33163920 + ... + 33166008.

Almost surely, 269281609796 is an apocalyptic number.

69281609796 is the 263214-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69281609796

69281609796 is an abundant number, since it is smaller than the sum of its proper divisors (141505035273).

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

69281609796 is an equidigital number, since it uses as much as digits as its factorization.

69281609796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4208 (or 2101 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

It can be divided in two parts, 6928160 and 9796, that added together give a square (6937956 = 26342).

The spelling of 69281609796 in words is "sixty-nine billion, two hundred eighty-one million, six hundred nine thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 882 1134 1323 1764 2089 2268 2646 3969 4178 5292 6267 7938 8356 12534 14623 15876 18801 25068 29246 37602 43869 56403 58492 75204 87738 102361 112806 131607 169209 175476 204722 225612 263214 307083 338418 394821 409444 526428 614166 676836 789642 921249 1184463 1228332 1579284 1842498 2368926 2763747 3684996 4363921 4737852 5527494 8291241 8727842 11054988 13091763 16582482 17455684 26183526 30547447 33164964 39275289 52367052 61094894 78550578 91642341 117825867 122189788 157101156 183284682 213832129 235651734 274927023 353477601 366569364 427664258 471303468 549854046 641496387 706955202 824781069 855328516 1099708092 1282992774 1413910404 1649562138 1924489161 2474343207 2565985548 3299124276 3848978322 4948686414 5773467483 7697956644 9897372828 11546934966 17320402449 23093869932 34640804898 69281609796