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10645425442320 = 2435319887144719
BaseRepresentation
bin1001101011101001010011…
…0011010100111000010000
31101200200201000001212112020
42122322110303110320100
52343403312403123240
634350235124131440
72146051365156234
oct232722463247020
941620630055466
1010645425442320
113434777155789
12123b1a3536b80
135c2b22ba5a86
1428b35434a5c4
15136da2c3b0d0
hex9ae94cd4e10

10645425442320 has 160 divisors (see below), whose sum is σ = 34069042298880. Its totient is φ = 2746909724160.

The previous prime is 10645425442307. The next prime is 10645425442423. The reversal of 10645425442320 is 2324452454601.

It is a super-2 number, since 2×106454254423202 (a number of 27 digits) contains 22 as substring.

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, 73486921 + ... + 73631639.

It is an arithmetic number, because the mean of its divisors is an integer number (212931514368).

Almost surely, 210645425442320 is an apocalyptic number.

10645425442320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10645425442320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17034521149440).

10645425442320 is an abundant number, since it is smaller than the sum of its proper divisors (23423616856560).

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

10645425442320 is a wasteful number, since it uses less digits than its factorization.

10645425442320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154653 (or 154647 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 42.

Adding to 10645425442320 its reverse (2324452454601), we get a palindrome (12969877896921).

The spelling of 10645425442320 in words is "ten trillion, six hundred forty-five billion, four hundred twenty-five million, four hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3720 7440 9887 19774 29661 39548 49435 59322 79096 98870 118644 144719 148305 158192 197740 237288 289438 296610 306497 395480 434157 474576 578876 593220 612994 723595 790960 868314 919491 1157752 1186440 1225988 1447190 1532485 1736628 1838982 2170785 2315504 2372880 2451976 2894380 3064970 3473256 3677964 4341570 4486289 4597455 4903952 5788760 6129940 6946512 7355928 8683140 8972578 9194910 11577520 12259880 13458867 14711856 17366280 17945156 18389820 22431445 24519760 26917734 34732560 35890312 36779640 44862890 53835468 67294335 71780624 73559280 89725780 107670936 134588670 179451560 215341872 269177340 358903120 538354680 1076709360 1430836753 2861673506 4292510259 5723347012 7154183765 8585020518 11446694024 14308367530 17170041036 21462551295 22893388048 28616735060 34340082072 42925102590 44355939343 57233470120 68680164144 85850205180 88711878686 114466940240 133067818029 171700410360 177423757372 221779696715 266135636058 343400820720 354847514744 443559393430 532271272116 665339090145 709695029488 887118786860 1064542544232 1330678180290 1774237573720 2129085088464 2661356360580 3548475147440 5322712721160 10645425442320