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17913070480 = 2453717334981
BaseRepresentation
bin10000101011101100…
…111100001110010000
31201020101121021010211
4100223230330032100
5243141221223410
612121255133504
71202621405164
oct205354741620
951211537124
1017913070480
117662508a88
12357b074294
1318c62150b6
14c1d07cca4
156ec93668a
hex42bb3c390

17913070480 has 80 divisors (see below), whose sum is σ = 43021983024. Its totient is φ = 6931077120.

The previous prime is 17913070313. The next prime is 17913070499. The reversal of 17913070480 is 8407031971.

It can be written as a sum of positive squares in 8 ways, for example, as 3095364496 + 14817705984 = 55636^2 + 121728^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 494590 + ... + 529570.

Almost surely, 217913070480 is an apocalyptic number.

17913070480 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 17913070480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21510991512).

17913070480 is an abundant number, since it is smaller than the sum of its proper divisors (25108912544).

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

17913070480 is a wasteful number, since it uses less digits than its factorization.

17913070480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35204 (or 35198 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 40.

The spelling of 17913070480 in words is "seventeen billion, nine hundred thirteen million, seventy thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 173 185 296 346 370 592 692 740 865 1384 1480 1730 2768 2960 3460 6401 6920 12802 13840 25604 32005 34981 51208 64010 69962 102416 128020 139924 174905 256040 279848 349810 512080 559696 699620 1294297 1399240 2588594 2798480 5177188 6051713 6471485 10354376 12103426 12942970 20708752 24206852 25885940 30258565 48413704 51771880 60517130 96827408 103543760 121034260 223913381 242068520 447826762 484137040 895653524 1119566905 1791307048 2239133810 3582614096 4478267620 8956535240 17913070480