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2043516672 = 28321994457
BaseRepresentation
bin111100111001101…
…1001011100000000
312021102020101212200
41321303121130000
513141120013142
6534435353200
7101432414361
oct17163313400
95242211780
102043516672
1195956a35a
12490452800
132674a2782
14155585b68
15be60b64c
hex79cd9700

2043516672 has 108 divisors (see below), whose sum is σ = 5922898800. Its totient is φ = 677597184.

The previous prime is 2043516613. The next prime is 2043516677. The reversal of 2043516672 is 2766153402.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2043516677) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 456268 + ... + 460724.

Almost surely, 22043516672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2043516672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2961449400).

2043516672 is an abundant number, since it is smaller than the sum of its proper divisors (3879382128).

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

2043516672 is a wasteful number, since it uses less digits than its factorization.

2043516672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4678 (or 4661 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2043516672 is about 45205.2726128269. The cubic root of 2043516672 is about 1268.9934927301.

The spelling of 2043516672 in words is "two billion, forty-three million, five hundred sixteen thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 199 256 288 384 398 576 597 768 796 1152 1194 1592 1791 2304 2388 3184 3582 4457 4776 6368 7164 8914 9552 12736 13371 14328 17828 19104 25472 26742 28656 35656 38208 40113 50944 53484 57312 71312 76416 80226 106968 114624 142624 152832 160452 213936 229248 285248 320904 427872 458496 570496 641808 855744 886943 1140992 1283616 1711488 1773886 2567232 2660829 3422976 3547772 5134464 5321658 7095544 7982487 10268928 10643316 14191088 15964974 21286632 28382176 31929948 42573264 56764352 63859896 85146528 113528704 127719792 170293056 227057408 255439584 340586112 510879168 681172224 1021758336 2043516672