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7998268416 = 21037932957
BaseRepresentation
bin1110111001011101…
…11110010000000000
3202122102011010121120
413130232332100000
5112340024042131
63401354352240
7402130105545
oct73456762000
922572133546
107998268416
1134348a5496
12167272b680
139a6087c08
1455c376bcc
1531c2a7496
hex1dcbbe400

7998268416 has 88 divisors (see below), whose sum is σ = 21588808320. Its totient is φ = 2632261632.

The previous prime is 7998268391. The next prime is 7998268417. The reversal of 7998268416 is 6148628997.

It is a self number, because there is not a number n which added to its sum of digits gives 7998268416.

It is not an unprimeable number, because it can be changed into a prime (7998268417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 226210 + ... + 259166.

Almost surely, 27998268416 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 7998268416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10794404160).

7998268416 is an abundant number, since it is smaller than the sum of its proper divisors (13590539904).

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

7998268416 is a wasteful number, since it uses less digits than its factorization.

7998268416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33059 (or 33041 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 60.

The square root of 7998268416 is about 89433.0387273070. The cubic root of 7998268416 is about 1999.8556909210.

The spelling of 7998268416 in words is "seven billion, nine hundred ninety-eight million, two hundred sixty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 256 316 384 474 512 632 768 948 1024 1264 1536 1896 2528 3072 3792 5056 7584 10112 15168 20224 30336 32957 40448 60672 65914 80896 98871 121344 131828 197742 242688 263656 395484 527312 790968 1054624 1581936 2109248 2603603 3163872 4218496 5207206 6327744 7810809 8436992 10414412 12655488 15621618 16873984 20828824 25310976 31243236 33747968 41657648 50621952 62486472 83315296 101243904 124972944 166630592 249945888 333261184 499891776 666522368 999783552 1333044736 1999567104 2666089472 3999134208 7998268416