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33890019328 = 211116722453
BaseRepresentation
bin11111100100000000…
…001010100000000000
310020110212001100201001
4133210000022200000
51023401321104303
623322512421344
72306553261034
oct374400124000
9106425040631
1033890019328
111341103a140
126699847854
13327128a199
1418d6d301c4
15d353c731d
hex7e400a800

33890019328 has 96 divisors (see below), whose sum is σ = 75030490080. Its totient is φ = 15173959680.

The previous prime is 33890019301. The next prime is 33890019329. The reversal of 33890019328 is 82391009833.

It is a super-2 number, since 2×338900193282 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33890019329) 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, 1498150 + ... + 1520602.

It is an arithmetic number, because the mean of its divisors is an integer number (781567605).

Almost surely, 233890019328 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 33890019328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37515245040).

33890019328 is an abundant number, since it is smaller than the sum of its proper divisors (41140470752).

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

33890019328 is a wasteful number, since it uses less digits than its factorization.

33890019328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22553 (or 22533 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 46.

The spelling of 33890019328 in words is "thirty-three billion, eight hundred ninety million, nineteen thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 67 88 128 134 176 256 268 352 512 536 704 737 1024 1072 1408 1474 2048 2144 2816 2948 4288 5632 5896 8576 11264 11792 17152 22453 22528 23584 34304 44906 47168 68608 89812 94336 137216 179624 188672 246983 359248 377344 493966 718496 754688 987932 1436992 1504351 1509376 1975864 2873984 3008702 3951728 5747968 6017404 7903456 11495936 12034808 15806912 16547861 22991872 24069616 31613824 33095722 45983744 48139232 63227648 66191444 96278464 126455296 132382888 192556928 252910592 264765776 385113856 505821184 529531552 770227712 1059063104 1540455424 2118126208 3080910848 4236252416 8472504832 16945009664 33890019328