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10016488560 = 2435133210413
BaseRepresentation
bin10010101010000011…
…10111110001110000
3221212001210100011210
421111001313301300
5131003210113220
64333532040120
7503134514361
oct112501676160
927761710153
1010016488560
114280057121
121b36603040
13c38241510
146b0415b68
153d95686e0
hex255077c70

10016488560 has 80 divisors (see below), whose sum is σ = 33439672224. Its totient is φ = 2465596416.

The previous prime is 10016488541. The next prime is 10016488567. The reversal of 10016488560 is 6588461001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×100164885602 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10016488567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1602087 + ... + 1608326.

Almost surely, 210016488560 is an apocalyptic number.

10016488560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10016488560 is an abundant number, since it is smaller than the sum of its proper divisors (23423183664).

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

10016488560 is a wasteful number, since it uses less digits than its factorization.

10016488560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3210442 (or 3210436 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The spelling of 10016488560 in words is "ten billion, sixteen million, four hundred eighty-eight thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 3210413 6420826 9631239 12841652 16052065 19262478 25683304 32104130 38524956 41735369 48156195 51366608 64208260 77049912 83470738 96312390 125206107 128416520 154099824 166941476 192624780 208676845 250412214 256833040 333882952 385249560 417353690 500824428 626030535 667765904 770499120 834707380 1001648856 1252061070 1669414760 2003297712 2504122140 3338829520 5008244280 10016488560