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69840845136 = 2434172186469
BaseRepresentation
bin100000100001011010…
…1101011100101010000
320200021022212112110000
41001002311223211100
52121013224021021
652030123410000
75021502250206
oct1010265534520
9220238775400
1069840845136
112768a377727
1211651683900
13678049178a
143547827076
151c3b673b26
hex1042d6b950

69840845136 has 150 divisors (see below), whose sum is σ = 214730833790. Its totient is φ = 21910735872.

The previous prime is 69840845131. The next prime is 69840845141. The reversal of 69840845136 is 63154804896.

69840845136 is a `hidden beast` number, since 6 + 9 + 8 + 40 + 84 + 513 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (69840845131) and next prime (69840845141).

It can be written as a sum of positive squares in 3 ways, for example, as 10861808400 + 58979036736 = 104220^2 + 242856^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69840845131) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 281310 + ... + 467778.

Almost surely, 269840845136 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 69840845136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107365416895).

69840845136 is an abundant number, since it is smaller than the sum of its proper divisors (144889988654).

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

69840845136 is a wasteful number, since it uses less digits than its factorization.

69840845136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186523 (or 186491 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 69840845136 in words is "sixty-nine billion, eight hundred forty million, eight hundred forty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 102 108 136 144 153 162 204 216 272 289 306 324 408 432 459 578 612 648 816 867 918 1156 1224 1296 1377 1734 1836 2312 2448 2601 2754 3468 3672 4624 5202 5508 6936 7344 7803 10404 11016 13872 15606 20808 22032 23409 31212 41616 46818 62424 93636 124848 186469 187272 372938 374544 559407 745876 1118814 1491752 1678221 2237628 2983504 3169973 3356442 4475256 5034663 6339946 6712884 8950512 9509919 10069326 12679892 13425768 15103989 19019838 20138652 25359784 26851536 28529757 30207978 38039676 40277304 50719568 53889541 57059514 60415956 76079352 80554608 85589271 107779082 114119028 120831912 152158704 161668623 171178542 215558164 228238056 241663824 256767813 323337246 342357084 431116328 456476112 485005869 513535626 646674492 684714168 862232656 970011738 1027071252 1293348984 1369428336 1455017607 1940023476 2054142504 2586697968 2910035214 3880046952 4108285008 4365052821 5820070428 7760093904 8730105642 11640140856 17460211284 23280281712 34920422568 69840845136