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45493739256 = 2337319778941
BaseRepresentation
bin101010010111101000…
…110101111011111000
311100102112111101222210
4222113220311323320
51221132344124011
632522144415120
73200243255220
oct522750657370
9140375441883
1045493739256
1118326036719
1289979174a0
1343a02b3654
1422b8075080
1512b3e6b6a6
hexa97a35ef8

45493739256 has 128 divisors (see below), whose sum is σ = 134327439360. Its totient is φ = 12564633600.

The previous prime is 45493739233. The next prime is 45493739273. The reversal of 45493739256 is 65293739454.

It is a super-2 number, since 2×454937392562 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45493739196 and 45493739205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5083746 + ... + 5092686.

It is an arithmetic number, because the mean of its divisors is an integer number (1049433120).

Almost surely, 245493739256 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 45493739256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67163719680).

45493739256 is an abundant number, since it is smaller than the sum of its proper divisors (88833700104).

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

45493739256 is a wasteful number, since it uses less digits than its factorization.

45493739256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9965 (or 9961 counting only the distinct ones).

The product of its digits is 24494400, while the sum is 57.

The spelling of 45493739256 in words is "forty-five billion, four hundred ninety-three million, seven hundred thirty-nine thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 651 744 868 977 1302 1736 1954 2604 2931 3908 5208 5862 6839 7816 8941 11724 13678 17882 20517 23448 26823 27356 30287 35764 41034 53646 54712 60574 62587 71528 82068 90861 107292 121148 125174 164136 181722 187761 212009 214584 242296 250348 277171 363444 375522 424018 500696 554342 636027 726888 751044 831513 848036 1108684 1272054 1502088 1663026 1696072 1940197 2217368 2544108 3326052 3880394 5088216 5820591 6652104 7760788 8735357 11641182 15521576 17470714 23282364 26206071 34941428 46564728 52412142 61147499 69882856 104824284 122294998 183442497 209648568 244589996 270796067 366884994 489179992 541592134 733769988 812388201 1083184268 1467539976 1624776402 1895572469 2166368536 3249552804 3791144938 5686717407 6499105608 7582289876 11373434814 15164579752 22746869628 45493739256