Search a number
-
+
45712389632 = 297131757713
BaseRepresentation
bin101010100100101010…
…111011011000000000
311100222202220222220212
4222210222323120000
51222104332432012
632555555053252
73205536620660
oct524452733000
9140882828825
1045712389632
11184284a7a08
128a38ba1228
13440669a980
1422d91101a0
1512c825bb22
hexaa4abb600

45712389632 has 160 divisors (see below), whose sum is σ = 119027506752. Its totient is φ = 17019961344.

The previous prime is 45712389631. The next prime is 45712389637. The reversal of 45712389632 is 23698321754.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45712389631) 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, 763208 + ... + 820920.

Almost surely, 245712389632 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 45712389632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59513753376).

45712389632 is an abundant number, since it is smaller than the sum of its proper divisors (73315117120).

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

45712389632 is a wasteful number, since it uses less digits than its factorization.

45712389632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57768 (or 57752 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 50.

The spelling of 45712389632 in words is "forty-five billion, seven hundred twelve million, three hundred eighty-nine thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 17 26 28 32 34 52 56 64 68 91 104 112 119 128 136 182 208 221 224 238 256 272 364 416 442 448 476 512 544 728 832 884 896 952 1088 1456 1547 1664 1768 1792 1904 2176 2912 3094 3328 3536 3584 3808 4352 5824 6188 6656 7072 7616 8704 11648 12376 14144 15232 23296 24752 28288 30464 46592 49504 56576 57713 60928 99008 113152 115426 198016 230852 396032 403991 461704 750269 792064 807982 923408 981121 1500538 1615964 1846816 1962242 3001076 3231928 3693632 3924484 5251883 6002152 6463856 6867847 7387264 7848968 10503766 12004304 12754573 12927712 13735694 14774528 15697936 21007532 24008608 25509146 25855424 27471388 29549056 31395872 42015064 48017216 51018292 51710848 54942776 62791744 84030128 89282011 96034432 102036584 103421696 109885552 125583488 168060256 178564022 192068864 204073168 206843392 219771104 251166976 336120512 357128044 384137728 408146336 439542208 502333952 672241024 714256088 816292672 879084416 1344482048 1428512176 1632585344 1758168832 2688964096 2857024352 3265170688 3516337664 5714048704 6530341376 11428097408 22856194816 45712389632