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33030872148 = 22323241179709
BaseRepresentation
bin11110110000110010…
…110001110001010100
310011020222102011100010
4132300302301301110
51020121400402043
623101342120220
72246351531541
oct366062616124
9104228364303
1033030872148
111301008014a
126499b80070
133165298581
141854ba9bc8
15cd4c6a133
hex7b0cb1c54

33030872148 has 144 divisors (see below), whose sum is σ = 83111918400. Its totient is φ = 10202903040.

The previous prime is 33030872117. The next prime is 33030872179. The reversal of 33030872148 is 84127803033.

It is an interprime number because it is at equal distance from previous prime (33030872117) and next prime (33030872179).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 46587618 + ... + 46588326.

It is an arithmetic number, because the mean of its divisors is an integer number (577166100).

Almost surely, 233030872148 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 33030872148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41555959200).

33030872148 is an abundant number, since it is smaller than the sum of its proper divisors (50081046252).

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

33030872148 is a wasteful number, since it uses less digits than its factorization.

33030872148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 33030872148 in words is "thirty-three billion, thirty million, eight hundred seventy-two thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 12 23 41 46 69 82 92 123 138 164 179 246 276 358 492 529 537 709 716 943 1058 1074 1418 1587 1886 2116 2127 2148 2829 2836 3174 3772 4117 4254 5658 6348 7339 8234 8508 11316 12351 14678 16307 16468 21689 22017 24702 29069 29356 32614 43378 44034 48921 49404 58138 65067 65228 86756 87207 88068 94691 97842 116276 126911 130134 168797 174414 189382 195684 253822 260268 284073 337594 348828 375061 378764 380733 506391 507644 568146 668587 675188 750122 761466 1012782 1125183 1136292 1337174 1500244 1522932 2005761 2025564 2250366 2674348 2918953 3882331 4011522 4500732 5203351 5837906 7764662 8023044 8756859 10406702 11646993 11675812 15377501 15529324 15610053 17513718 20813404 23293986 30755002 31220106 35027436 46132503 46587972 61510004 62440212 67135919 92265006 119677073 134271838 184530012 201407757 239354146 268543676 359031219 402815514 478708292 718062438 805631028 1436124876 2752572679 5505145358 8257718037 11010290716 16515436074 33030872148