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745330443616 = 251131295723099
BaseRepresentation
bin10101101100010010010…
…10000000010101100000
32122020211100201112020001
422312021022000111200
544202414043143431
61330222230025344
7104563661145163
oct12661112002540
92566740645201
10745330443616
11268102671940
121005497a8254
1355390977a45
14281077cdada
15145c3a19e61
hexad89280560

745330443616 has 96 divisors (see below), whose sum is σ = 1653034521600. Its totient is φ = 327732902400.

The previous prime is 745330443581. The next prime is 745330443617. The reversal of 745330443616 is 616344033547.

It is a super-3 number, since 3×7453304436163 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (745330443617) 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, 32255235 + ... + 32278333.

It is an arithmetic number, because the mean of its divisors is an integer number (17219109600).

Almost surely, 2745330443616 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 745330443616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826517260800).

745330443616 is an abundant number, since it is smaller than the sum of its proper divisors (907704077984).

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

745330443616 is a wasteful number, since it uses less digits than its factorization.

745330443616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26108 (or 26100 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 46.

The spelling of 745330443616 in words is "seven hundred forty-five billion, three hundred thirty million, four hundred forty-three thousand, six hundred sixteen".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 124 176 248 341 352 496 682 992 1364 2728 2957 5456 5914 10912 11828 23099 23656 32527 46198 47312 65054 91667 92396 94624 130108 183334 184792 254089 260216 366668 369584 508178 520432 716069 733336 739168 1008337 1016356 1040864 1432138 1466672 2016674 2032712 2864276 2933344 4033348 4065424 5728552 7876759 8066696 8130848 11457104 15753518 16133392 22914208 31507036 32266784 63014072 68303743 126028144 136607486 252056288 273214972 546429944 751341173 1092859888 1502682346 2117416033 2185719776 3005364692 4234832066 6010729384 8469664132 12021458768 16939328264 23291576363 24042917536 33878656528 46583152726 67757313056 93166305452 186332610904 372665221808 745330443616