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6998332416 = 21034195437
BaseRepresentation
bin1101000010010001…
…00001010000000000
3200001201121010021220
412201020201100000
5103313033114131
63114234315040
7335265562335
oct64110412000
920051533256
106998332416
112a714157a9
121433888a80
13876b70bca
144a564498c
152ae5d9e96
hex1a1221400

6998332416 has 88 divisors (see below), whose sum is σ = 18701064480. Its totient is φ = 2326781952.

The previous prime is 6998332409. The next prime is 6998332423. The reversal of 6998332416 is 6142338996.

It is an interprime number because it is at equal distance from previous prime (6998332409) and next prime (6998332423).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1284450 + ... + 1289886.

Almost surely, 26998332416 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 6998332416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9350532240).

6998332416 is an abundant number, since it is smaller than the sum of its proper divisors (11702732064).

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

6998332416 is a wasteful number, since it uses less digits than its factorization.

6998332416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5879 (or 5861 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 51.

The square root of 6998332416 is about 83656.0363392864. The cubic root of 6998332416 is about 1912.7792672115.

The spelling of 6998332416 in words is "six billion, nine hundred ninety-eight million, three hundred thirty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 419 512 768 838 1024 1257 1536 1676 2514 3072 3352 5028 5437 6704 10056 10874 13408 16311 20112 21748 26816 32622 40224 43496 53632 65244 80448 86992 107264 130488 160896 173984 214528 260976 321792 347968 429056 521952 643584 695936 1043904 1287168 1391872 2087808 2278103 2783744 4175616 4556206 5567488 6834309 8351232 9112412 13668618 16702464 18224824 27337236 36449648 54674472 72899296 109348944 145798592 218697888 291597184 437395776 583194368 874791552 1166388736 1749583104 2332777472 3499166208 6998332416