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13228354480 = 2451146332467
BaseRepresentation
bin11000101000111100…
…01010101110110000
31021010220111000220211
430110132022232300
5204042424320410
610024345313504
7645545105065
oct142436125660
937126430824
1013228354480
115679074570
122692195894
13132a7a5cb3
148d6c0cc6c
1552650c68a
hex31478abb0

13228354480 has 80 divisors (see below), whose sum is σ = 33625419264. Its totient is φ = 4799773440.

The previous prime is 13228354351. The next prime is 13228354499. The reversal of 13228354480 is 8445382231.

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, 391207 + ... + 423673.

Almost surely, 213228354480 is an apocalyptic number.

13228354480 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 13228354480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16812709632).

13228354480 is an abundant number, since it is smaller than the sum of its proper divisors (20397064784).

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

13228354480 is a wasteful number, since it uses less digits than its factorization.

13228354480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32954 (or 32948 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The spelling of 13228354480 in words is "thirteen billion, two hundred twenty-eight million, three hundred fifty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 463 880 926 1852 2315 3704 4630 5093 7408 9260 10186 18520 20372 25465 32467 37040 40744 50930 64934 81488 101860 129868 162335 203720 259736 324670 357137 407440 519472 649340 714274 1298680 1428548 1785685 2597360 2857096 3571370 5714192 7142740 14285480 15032221 28570960 30064442 60128884 75161105 120257768 150322210 165354431 240515536 300644420 330708862 601288840 661417724 826772155 1202577680 1322835448 1653544310 2645670896 3307088620 6614177240 13228354480