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45320697344 = 2913371631129
BaseRepresentation
bin101010001101010100…
…101111011000000000
311022222110212222010002
4222031110233120000
51220304044303334
632453043455132
73163042366646
oct521524573000
9138873788102
1045320697344
111824739677a
1289499874a8
1343734a78a0
14229d0ad196
1512a3b89b7e
hexa8d52f600

45320697344 has 160 divisors (see below), whose sum is σ = 100857815520. Its totient is φ = 20209139712.

The previous prime is 45320697337. The next prime is 45320697347. The reversal of 45320697344 is 44379602354.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45320697347) 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, 40141772 + ... + 40142900.

It is an arithmetic number, because the mean of its divisors is an integer number (630361347).

Almost surely, 245320697344 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 45320697344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50428907760).

45320697344 is an abundant number, since it is smaller than the sum of its proper divisors (55537118176).

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

45320697344 is a wasteful number, since it uses less digits than its factorization.

45320697344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 47.

The spelling of 45320697344 in words is "forty-five billion, three hundred twenty million, six hundred ninety-seven thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 37 52 64 74 104 128 148 163 208 256 296 326 416 481 512 592 652 832 962 1129 1184 1304 1664 1924 2119 2258 2368 2608 3328 3848 4238 4516 4736 5216 6031 6656 7696 8476 9032 9472 10432 12062 14677 15392 16952 18064 18944 20864 24124 29354 30784 33904 36128 41728 41773 48248 58708 61568 67808 72256 78403 83456 83546 96496 117416 123136 135616 144512 156806 167092 184027 192992 234832 246272 271232 289024 313612 334184 368054 385984 469664 542464 543049 578048 627224 668368 736108 771968 939328 1084928 1086098 1254448 1336736 1472216 1543936 1878656 2172196 2392351 2508896 2673472 2944432 3087872 3757312 4344392 4784702 5017792 5346944 5888864 6808999 7514624 8688784 9569404 10035584 10693888 11777728 13617998 17377568 19138808 20071168 21387776 23555456 27235996 34755136 38277616 40142336 47110912 54471992 69510272 76555232 88516987 94221824 108943984 139020544 153110464 177033974 217887968 278041088 306220928 354067948 435775936 612441856 708135896 871551872 1224883712 1416271792 1743103744 2832543584 3486207488 5665087168 11330174336 22660348672 45320697344