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10478002480 = 2451131537247
BaseRepresentation
bin10011100001000100…
…11010000100110000
31000001020012200020221
421300202122010300
5132424332034410
64451415542424
7520440360121
oct116042320460
930036180227
1010478002480
114497617390
12204508aa14
13caca3cb8a
14715830048
15414d2d4da
hex27089a130

10478002480 has 160 divisors (see below), whose sum is σ = 27954782208. Its totient is φ = 3617203200.

The previous prime is 10478002477. The next prime is 10478002489. The reversal of 10478002480 is 8420087401.

It is not an unprimeable number, because it can be changed into a prime (10478002489) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1442217 + ... + 1449463.

Almost surely, 210478002480 is an apocalyptic number.

10478002480 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 10478002480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13977391104).

10478002480 is an abundant number, since it is smaller than the sum of its proper divisors (17476779728).

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

10478002480 is a wasteful number, since it uses less digits than its factorization.

10478002480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7355 (or 7349 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 34.

Adding to 10478002480 its reverse (8420087401), we get a palindrome (18898089881).

The spelling of 10478002480 in words is "ten billion, four hundred seventy-eight million, two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 40 44 53 55 62 80 88 106 110 124 155 176 212 220 248 265 310 341 424 440 496 530 583 620 682 848 880 1060 1166 1240 1364 1643 1705 2120 2332 2480 2728 2915 3286 3410 4240 4664 5456 5830 6572 6820 7247 8215 9328 11660 13144 13640 14494 16430 18073 23320 26288 27280 28988 32860 36146 36235 46640 57976 65720 72292 72470 79717 90365 115952 131440 144584 144940 159434 180730 224657 289168 289880 318868 361460 384091 398585 449314 579760 637736 722920 768182 797170 898628 1123285 1275472 1445840 1536364 1594340 1797256 1920455 2246570 2471227 3072728 3188680 3594512 3840910 4225001 4493140 4942454 6145456 6377360 7681820 8450002 8986280 9884908 11906821 12356135 15363640 16900004 17972560 19769816 21125005 23813642 24712270 30727280 33800008 39539632 42250010 47627284 49424540 59534105 67600016 84500020 95254568 98849080 119068210 130975031 169000040 190509136 197698160 238136420 261950062 338000080 476272840 523900124 654875155 952545680 1047800248 1309750310 2095600496 2619500620 5239001240 10478002480