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4698616416 = 253132714079
BaseRepresentation
bin1000110000000111…
…10011001001100000
3110010110021110000020
410120003303021200
534110321211131
62054123353440
7224302403064
oct43003631140
913113243006
104698616416
111aa127906a
12ab1682880
1359b598100
1432804baa4
151c7772996
hex1180f3260

4698616416 has 144 divisors (see below), whose sum is σ = 13547036160. Its totient is φ = 1425016320.

The previous prime is 4698616393. The next prime is 4698616423. The reversal of 4698616416 is 6146168964.

It is a congruent number.

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, 1149865 + ... + 1153943.

It is an arithmetic number, because the mean of its divisors is an integer number (94076640).

Almost surely, 24698616416 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 4698616416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6773518080).

4698616416 is an abundant number, since it is smaller than the sum of its proper divisors (8848419744).

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

4698616416 is a wasteful number, since it uses less digits than its factorization.

4698616416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4189 (or 4168 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 51.

The square root of 4698616416 is about 68546.4544378482. The cubic root of 4698616416 is about 1674.9042988019.

The spelling of 4698616416 in words is "four billion, six hundred ninety-eight million, six hundred sixteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 71 78 96 104 142 156 169 208 213 284 312 338 416 426 507 568 624 676 852 923 1014 1136 1248 1352 1704 1846 2028 2272 2704 2769 3408 3692 4056 4079 5408 5538 6816 7384 8112 8158 11076 11999 12237 14768 16224 16316 22152 23998 24474 29536 32632 35997 44304 47996 48948 53027 65264 71994 88608 95992 97896 106054 130528 143988 159081 191984 195792 212108 287976 289609 318162 383968 391584 424216 575952 579218 636324 689351 848432 868827 1151904 1158436 1272648 1378702 1696864 1737654 2068053 2316872 2545296 2757404 3475308 3764917 4136106 4633744 5090592 5514808 6950616 7529834 8272212 9267488 11029616 11294751 13901232 15059668 16544424 22059232 22589502 27802464 30119336 33088848 45179004 48943921 60238672 66177696 90358008 97887842 120477344 146831763 180716016 195775684 293663526 361432032 391551368 587327052 783102736 1174654104 1566205472 2349308208 4698616416