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10453623440 = 2451324716451
BaseRepresentation
bin10011011110001010…
…11010001010010000
3222222112100002111112
421233011122022100
5132402111422230
64445145232452
7520023222161
oct115705321220
928875302445
1010453623440
114484886017
122038a92728
13ca7985500
147124c5768
15412b14d95
hex26f15a290

10453623440 has 120 divisors (see below), whose sum is σ = 26879672448. Its totient is φ = 3777446400.

The previous prime is 10453623419. The next prime is 10453623457. The reversal of 10453623440 is 4432635401.

It is a junction number, because it is equal to n+sod(n) for n = 10453623397 and 10453623406.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 627215 + ... + 643665.

Almost surely, 210453623440 is an apocalyptic number.

10453623440 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 10453623440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13439836224).

10453623440 is an abundant number, since it is smaller than the sum of its proper divisors (16426049008).

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

10453623440 is a wasteful number, since it uses less digits than its factorization.

10453623440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16537 (or 16518 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The spelling of 10453623440 in words is "ten billion, four hundred fifty-three million, six hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 47 52 65 80 94 104 130 169 188 208 235 260 338 376 470 520 611 676 752 845 940 1040 1222 1352 1690 1880 2444 2704 3055 3380 3760 4888 6110 6760 7943 9776 12220 13520 15886 16451 24440 31772 32902 39715 48880 63544 65804 79430 82255 127088 131608 158860 164510 213863 263216 317720 329020 427726 635440 658040 773197 855452 1069315 1316080 1546394 1710904 2138630 2780219 3092788 3421808 3865985 4277260 5560438 6185576 7731970 8554520 10051561 11120876 12371152 13901095 15463940 17109040 20103122 22241752 27802190 30927880 40206244 44483504 50257805 55604380 61855760 80412488 100515610 111208760 130670293 160824976 201031220 222417520 261340586 402062440 522681172 653351465 804124880 1045362344 1306702930 2090724688 2613405860 5226811720 10453623440