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33028914168 = 233217216112487
BaseRepresentation
bin11110110000101011…
…010011101111111000
310011020211201200111100
4132300223103233320
51020120400223133
623101232131400
72246326065255
oct366053235770
9104224650440
1033028914168
1113009a63088
126499396b60
133164a612c3
14185481a42c
15cd49cee13
hex7b0ad3bf8

33028914168 has 96 divisors (see below), whose sum is σ = 94766686560. Its totient is φ = 10356387840.

The previous prime is 33028914131. The next prime is 33028914179. The reversal of 33028914168 is 86141982033.

It is a super-2 number, since 2×330289141682 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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, 2638821 + ... + 2651307.

It is an arithmetic number, because the mean of its divisors is an integer number (987152985).

Almost surely, 233028914168 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 33028914168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47383343280).

33028914168 is an abundant number, since it is smaller than the sum of its proper divisors (61737772392).

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

33028914168 is a wasteful number, since it uses less digits than its factorization.

33028914168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14677 (or 14670 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 33028914168 in words is "thirty-three billion, twenty-eight million, nine hundred fourteen thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 2161 4322 6483 8644 12487 12966 17288 19449 24974 25932 36737 37461 38898 49948 51864 73474 74922 77796 99896 110211 112383 146948 149844 155592 212279 220422 224766 293896 299688 330633 424558 440844 449532 636837 661266 849116 881688 899064 1273674 1322532 1698232 1910511 2547348 2645064 3821022 5094696 7642044 15284088 26984407 53968814 80953221 107937628 161906442 215875256 242859663 323812884 458734919 485719326 647625768 917469838 971438652 1376204757 1834939676 1942877304 2752409514 3669879352 4128614271 5504819028 8257228542 11009638056 16514457084 33028914168