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69161088672 = 253213148112473
BaseRepresentation
bin100000001101001010…
…0100111011010100000
320121111221210022212200
41000122110213122200
52113120214314142
651434442053200
74665606361014
oct1003224473240
9217457708780
1069161088672
11273706a4625
12114a1aaa200
1366a26bc610
1434c143c544
151bebb4e64c
hex101a5276a0

69161088672 has 144 divisors (see below), whose sum is σ = 211965842088. Its totient is φ = 21264261120.

The previous prime is 69161088649. The next prime is 69161088767. The reversal of 69161088672 is 27688016196.

It can be written as a sum of positive squares in 4 ways, for example, as 51967585296 + 17193503376 = 227964^2 + 131124^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5538628 + ... + 5551100.

Almost surely, 269161088672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69161088672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105982921044).

69161088672 is an abundant number, since it is smaller than the sum of its proper divisors (142804753416).

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

69161088672 is a wasteful number, since it uses less digits than its factorization.

69161088672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13983 (or 13972 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 69161088672 in words is "sixty-nine billion, one hundred sixty-one million, eighty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1481 1872 2962 3744 4443 5924 8886 11848 12473 13329 17772 19253 23696 24946 26658 35544 37419 38506 47392 49892 53316 57759 71088 74838 77012 99784 106632 112257 115518 142176 149676 154024 162149 173277 199568 213264 224514 231036 299352 308048 324298 346554 399136 426528 449028 462072 486447 598704 616096 648596 693108 898056 924144 972894 1197408 1297192 1386216 1459341 1796112 1848288 1945788 2594384 2772432 2918682 3592224 3891576 5188768 5544864 5837364 7783152 11674728 15566304 18472513 23349456 36945026 46698912 55417539 73890052 110835078 147780104 166252617 221670156 240142669 295560208 332505234 443340312 480285338 591120416 665010468 720428007 886680624 960570676 1330020936 1440856014 1773361248 1921141352 2161284021 2660041872 2881712028 3842282704 4322568042 5320083744 5763424056 7684565408 8645136084 11526848112 17290272168 23053696224 34580544336 69161088672