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661360453248 = 273111271232851
BaseRepresentation
bin10011001111111000010…
…01111010011010000000
32100020002100101001020210
421213330021322122000
541313431234000443
61223454053434120
765532062045505
oct11477411723200
92306070331223
10661360453248
11235532809290
12a821433b940
134a49b1caa01
142401d6b34ac
151230bc52c33
hex99fc27a680

661360453248 has 128 divisors (see below), whose sum is σ = 1931533885440. Its totient is φ = 198834048000.

The previous prime is 661360453219. The next prime is 661360453261. The reversal of 661360453248 is 842354063166.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 661360453197 and 661360453206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79978 + ... + 1152873.

It is an arithmetic number, because the mean of its divisors is an integer number (15090108480).

Almost surely, 2661360453248 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 661360453248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965766942720).

661360453248 is an abundant number, since it is smaller than the sum of its proper divisors (1270173432192).

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

661360453248 is a wasteful number, since it uses less digits than its factorization.

661360453248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233006 (or 1232994 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 48.

The spelling of 661360453248 in words is "six hundred sixty-one billion, three hundred sixty million, four hundred fifty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 127 128 132 176 192 254 264 352 381 384 508 528 704 762 1016 1056 1397 1408 1524 2032 2112 2794 3048 4064 4191 4224 5588 6096 8128 8382 11176 12192 16256 16764 22352 24384 33528 44704 48768 67056 89408 134112 178816 268224 536448 1232851 2465702 3698553 4931404 7397106 9862808 13561361 14794212 19725616 27122722 29588424 39451232 40684083 54245444 59176848 78902464 81368166 108490888 118353696 156572077 157804928 162736332 216981776 236707392 313144154 325472664 433963552 469716231 473414784 626288308 650945328 867927104 939432462 1252576616 1301890656 1722292847 1735854208 1878864924 2505153232 2603781312 3444585694 3757729848 5010306464 5166878541 5207562624 6889171388 7515459696 10020612928 10333757082 13778342776 15030919392 20041225856 20667514164 27556685552 30061838784 41335028328 55113371104 60123677568 82670056656 110226742208 165340113312 220453484416 330680226624 661360453248