Search a number
-
+
33934573568 = 2157337439
BaseRepresentation
bin11111100110101010…
…001000000000000000
310020120221212221122002
4133212222020000000
51023444222323233
623331143403132
72310634054550
oct374652100000
9106527787562
1033934573568
1113434200425
1266b07534a8
13327a58993c
1418dcc0b160
15d392786e8
hex7e6a88000

33934573568 has 128 divisors (see below), whose sum is σ = 77970921600. Its totient is φ = 14467203072.

The previous prime is 33934573559. The next prime is 33934573571. The reversal of 33934573568 is 86537543933.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (56).

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, 77299493 + ... + 77299931.

It is an arithmetic number, because the mean of its divisors is an integer number (609147825).

Almost surely, 233934573568 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 33934573568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38985460800).

33934573568 is an abundant number, since it is smaller than the sum of its proper divisors (44036348032).

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

33934573568 is an frugal number, since it uses more digits than its factorization.

33934573568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 785 counting only the distinct ones).

The product of its digits is 24494400, while the sum is 56.

The spelling of 33934573568 in words is "thirty-three billion, nine hundred thirty-four million, five hundred seventy-three thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 337 439 448 512 674 878 896 1024 1348 1756 1792 2048 2359 2696 3073 3512 3584 4096 4718 5392 6146 7024 7168 8192 9436 10784 12292 14048 14336 16384 18872 21568 24584 28096 28672 32768 37744 43136 49168 56192 57344 75488 86272 98336 112384 114688 147943 150976 172544 196672 224768 229376 295886 301952 345088 393344 449536 591772 603904 690176 786688 899072 1035601 1183544 1207808 1380352 1573376 1798144 2071202 2367088 2415616 2760704 3146752 3596288 4142404 4734176 4831232 5521408 6293504 7192576 8284808 9468352 9662464 11042816 12587008 14385152 16569616 18936704 19324928 25174016 33139232 37873408 38649856 50348032 66278464 75746816 77299712 100696064 132556928 151493632 265113856 302987264 530227712 605974528 1060455424 1211949056 2120910848 2423898112 4241821696 4847796224 8483643392 16967286784 33934573568