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11403609480 = 2332546168713
BaseRepresentation
bin10101001111011010…
…10100010110001000
31002102201220101100200
422213231110112020
5141323311000410
65123322532200
7552410036604
oct124755242610
932381811320
1011403609480
11492204964a
122263067060
1310c9730b23
147a2734504
1546b2173c0
hex2a7b54588

11403609480 has 96 divisors (see below), whose sum is σ = 37142665560. Its totient is φ = 3034321920.

The previous prime is 11403609421. The next prime is 11403609491. The reversal of 11403609480 is 8490630411.

11403609480 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 3 + 609 + 48 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7723245924 + 3680363556 = 87882^2 + 60666^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 131604 + ... + 200316.

Almost surely, 211403609480 is an apocalyptic number.

11403609480 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 11403609480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18571332780).

11403609480 is an abundant number, since it is smaller than the sum of its proper divisors (25739056080).

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

11403609480 is a wasteful number, since it uses less digits than its factorization.

11403609480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69191 (or 69184 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 11403609480 in words is "eleven billion, four hundred three million, six hundred nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 461 922 1383 1844 2305 2766 3688 4149 4610 5532 6915 8298 9220 11064 13830 16596 18440 20745 27660 33192 41490 55320 68713 82980 137426 165960 206139 274852 343565 412278 549704 618417 687130 824556 1030695 1236834 1374260 1649112 2061390 2473668 2748520 3092085 4122780 4947336 6184170 8245560 12368340 24736680 31676693 63353386 95030079 126706772 158383465 190060158 253413544 285090237 316766930 380120316 475150395 570180474 633533860 760240632 950300790 1140360948 1267067720 1425451185 1900601580 2280721896 2850902370 3801203160 5701804740 11403609480