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661188311616 = 26373713296097
BaseRepresentation
bin10011001111100011110…
…01001111101001000000
32100012122100110100022210
421213301321033221000
541313103201432431
61223425024102120
765524601630040
oct11476171175100
92305570410283
10661188311616
11235454623778
12a8186764940
134a471648961
14240048a3720
15122eba9cd46
hex99f1e4fa40

661188311616 has 112 divisors (see below), whose sum is σ = 2053343006336. Its totient is φ = 183805231104.

The previous prime is 661188311611. The next prime is 661188311633. The reversal of 661188311616 is 616113881166.

661188311616 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (661188311611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6598321 + ... + 6697776.

Almost surely, 2661188311616 is an apocalyptic number.

It is an amenable number.

661188311616 is an abundant number, since it is smaller than the sum of its proper divisors (1392154694720).

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

661188311616 is a wasteful number, since it uses less digits than its factorization.

661188311616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13296156 (or 13296146 counting only the distinct ones).

The product of its digits is 248832, while the sum is 48.

The spelling of 661188311616 in words is "six hundred sixty-one billion, one hundred eighty-eight million, three hundred eleven thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 64 74 84 96 111 112 148 168 192 222 224 259 296 336 444 448 518 592 672 777 888 1036 1184 1344 1554 1776 2072 2368 3108 3552 4144 6216 7104 8288 12432 16576 24864 49728 13296097 26592194 39888291 53184388 79776582 93072679 106368776 159553164 186145358 212737552 279218037 319106328 372290716 425475104 491955589 558436074 638212656 744581432 850950208 983911178 1116872148 1276425312 1475866767 1489162864 1967822356 2233744296 2552850624 2951733534 2978325728 3443689123 3935644712 4467488592 5903467068 5956651456 6887378246 7871289424 8934977184 10331067369 11806934136 13774756492 15742578848 17869954368 20662134738 23613868272 27549512984 31485157696 41324269476 47227736544 55099025968 82648538952 94455473088 110198051936 165297077904 220396103872 330594155808 661188311616