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645607233040 = 245711127825247
BaseRepresentation
bin10010110010100010011…
…00001001011000010000
32021201102110220112200111
421121101030021120100
541034200422424130
61212330551331104
764433514636010
oct11312114113020
92251373815614
10645607233040
112298894a7830
12a5158680a94
1348b5a5ca533
142336741dc40
1511bd8c5702a
hex9651309610

645607233040 has 160 divisors (see below), whose sum is σ = 1886160420864. Its totient is φ = 199643512320.

The previous prime is 645607233013. The next prime is 645607233053. The reversal of 645607233040 is 40332706546.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 645607232984 and 645607233002.

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, 369697 + ... + 1194943.

Almost surely, 2645607233040 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 645607233040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943080210432).

645607233040 is an abundant number, since it is smaller than the sum of its proper divisors (1240553187824).

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

645607233040 is a wasteful number, since it uses less digits than its factorization.

645607233040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825405 (or 825399 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 40.

Adding to 645607233040 its reverse (40332706546), we get a palindrome (685939939586).

The spelling of 645607233040 in words is "six hundred forty-five billion, six hundred seven million, two hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 127 140 154 176 220 254 280 308 385 440 508 560 616 635 770 880 889 1016 1232 1270 1397 1540 1778 2032 2540 2794 3080 3556 4445 5080 5588 6160 6985 7112 8890 9779 10160 11176 13970 14224 17780 19558 22352 27940 35560 39116 48895 55880 71120 78232 97790 111760 156464 195580 391160 782320 825247 1650494 3300988 4126235 5776729 6601976 8252470 9077717 11553458 13203952 16504940 18155434 23106916 28883645 33009880 36310868 45388585 46213832 57767290 63544019 66019760 72621736 90777170 92427664 104806369 115534580 127088038 145243472 181554340 209612738 231069160 254176076 317720095 363108680 419225476 462138320 508352152 524031845 635440190 726217360 733644583 838450952 1016704304 1048063690 1152870059 1270880380 1467289166 1676901904 2096127380 2305740118 2541760760 2934578332 3668222915 4192254760 4611480236 5083521520 5764350295 5869156664 7336445830 8070090413 8384509520 9222960472 11528700590 11738313328 14672891660 16140180826 18445920944 23057401180 29345783320 32280361652 40350452065 46114802360 58691566640 64560723304 80700904130 92229604720 129121446608 161401808260 322803616520 645607233040