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33072268968 = 23321327346147
BaseRepresentation
bin11110110011010000…
…101100011010101000
310011100212022100002200
4132303100230122220
51020213000101333
623105421300200
72250363435144
oct366320543250
9104325270080
1033072268968
11130314851a2
1264aba04660
133170a30b2b
14185a4a4224
15cd86e5c13
hex7b342c6a8

33072268968 has 48 divisors (see below), whose sum is σ = 89638486080. Its totient is φ = 11015750304.

The previous prime is 33072268967. The next prime is 33072268969. The reversal of 33072268968 is 86986227033.

It is a happy number.

33072268968 is a `hidden beast` number, since 330 + 7 + 226 + 89 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (33072268967) and next prime (33072268969).

It is not an unprimeable number, because it can be changed into a prime (33072268961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77530 + ... + 268617.

It is an arithmetic number, because the mean of its divisors is an integer number (1867468460).

Almost surely, 233072268968 is an apocalyptic number.

It is an amenable number.

33072268968 is an abundant number, since it is smaller than the sum of its proper divisors (56566217112).

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

33072268968 is a wasteful number, since it uses less digits than its factorization.

33072268968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347486 (or 347479 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 33072268968 in words is "thirty-three billion, seventy-two million, two hundred sixty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1327 2654 3981 5308 7962 10616 11943 15924 23886 31848 47772 95544 346147 692294 1038441 1384588 2076882 2769176 3115323 4153764 6230646 8307528 12461292 24922584 459337069 918674138 1378011207 1837348276 2756022414 3674696552 4134033621 5512044828 8268067242 11024089656 16536134484 33072268968