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10559477040 = 2435722727689
BaseRepresentation
bin10011101010110010…
…01101010100110000
31000020220112000100020
421311121031110300
5133111211231130
64503450123440
7522450034230
oct116531152460
930226460306
1010559477040
114529605432
122068420580
13cc3898488
1472259bcc0
1541c073e10
hex27564d530

10559477040 has 160 divisors (see below), whose sum is σ = 37576880640. Its totient is φ = 2402875392.

The previous prime is 10559477023. The next prime is 10559477081. The reversal of 10559477040 is 4077495501.

It is a happy number.

It is a super-2 number, since 2×105594770402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 10559476983 and 10559477001.

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, 367516 + ... + 395204.

It is an arithmetic number, because the mean of its divisors is an integer number (234855504).

Almost surely, 210559477040 is an apocalyptic number.

10559477040 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 10559477040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18788440320).

10559477040 is an abundant number, since it is smaller than the sum of its proper divisors (27017403600).

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

10559477040 is a wasteful number, since it uses less digits than its factorization.

10559477040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27939 (or 27933 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 42.

The spelling of 10559477040 in words is "ten billion, five hundred fifty-nine million, four hundred seventy-seven thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 227 240 280 336 420 454 560 681 840 908 1135 1362 1589 1680 1816 2270 2724 3178 3405 3632 4540 4767 5448 6356 6810 7945 9080 9534 10896 12712 13620 15890 18160 19068 23835 25424 27240 27689 31780 38136 47670 54480 55378 63560 76272 83067 95340 110756 127120 138445 166134 190680 193823 221512 276890 332268 381360 387646 415335 443024 553780 581469 664536 775292 830670 969115 1107560 1162938 1329072 1550584 1661340 1938230 2215120 2325876 2907345 3101168 3322680 3876460 4651752 5814690 6285403 6645360 7752920 9303504 11629380 12570806 15505840 18856209 23258760 25141612 31427015 37712418 43997821 46517520 50283224 62854030 75424836 87995642 94281045 100566448 125708060 131993463 150849672 175991284 188562090 219989105 251416120 263986926 301699344 351982568 377124180 439978210 502832240 527973852 659967315 703965136 754248360 879956420 1055947704 1319934630 1508496720 1759912840 2111895408 2639869260 3519825680 5279738520 10559477040