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45008632746 = 23371167161561
BaseRepresentation
bin101001111010101110…
…010011101110101010
311022011201200102222000
4221322232103232222
51214134202221441
632402055111430
73152233031430
oct517256235652
9138151612860
1045008632746
11180a7221a50
128881372576
13432394458c
14226d878d50
1512865962b6
hexa7ab93baa

45008632746 has 128 divisors (see below), whose sum is σ = 126561208320. Its totient is φ = 11515996800.

The previous prime is 45008632729. The next prime is 45008632759. The reversal of 45008632746 is 64723680054.

45008632746 is a `hidden beast` number, since 4 + 5 + 0 + 0 + 8 + 632 + 7 + 4 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 197806 + ... + 359366.

It is an arithmetic number, because the mean of its divisors is an integer number (988759440).

Almost surely, 245008632746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45008632746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63280604160).

45008632746 is an abundant number, since it is smaller than the sum of its proper divisors (81552575574).

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

45008632746 is a wasteful number, since it uses less digits than its factorization.

45008632746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161657 (or 161651 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 45008632746 in words is "forty-five billion, eight million, six hundred thirty-two thousand, seven hundred forty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 67 77 99 126 134 154 189 198 201 231 297 378 402 462 469 594 603 693 737 938 1206 1386 1407 1474 1809 2079 2211 2814 3618 4158 4221 4422 5159 6633 8442 10318 12663 13266 15477 19899 25326 30954 39798 46431 92862 139293 161561 278586 323122 484683 969366 1130927 1454049 1777171 2261854 2908098 3392781 3554342 4362147 5331513 6785562 8724294 10178343 10663026 10824587 12440197 15994539 20356686 21649174 24880394 30535029 31989078 32473761 37320591 47983617 61070058 64947522 74641182 75772109 95967234 97421283 111961773 119070457 151544218 194842566 223923546 227316327 238140914 292263849 335885319 357211371 454632654 584527698 671770638 681948981 714422742 833493199 1071634113 1363897962 1666986398 2045846943 2143268226 2500479597 3214902339 4091693886 5000959194 6429804678 7501438791 15002877582 22504316373 45008632746