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33013323033040 = 2457110491533549
BaseRepresentation
bin1111000000110100000110…
…11001000110100111010000
311022220001011020121020102101
413200122003121012213100
513311342241144024130
6154114040005330144
76645063630511240
oct740320331064720
9138801136536371
1033013323033040
11a578965218739
123852253106954
1315561b224474c
14821bd3899b20
153c3b43ecd1ca
hex1e06836469d0

33013323033040 has 80 divisors (see below), whose sum is σ = 87722073820800. Its totient is φ = 11318729955840.

The previous prime is 33013323033007. The next prime is 33013323033107. The reversal of 33013323033040 is 4033032331033.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61608186 + ... + 62141734.

It is an arithmetic number, because the mean of its divisors is an integer number (1096525922760).

Almost surely, 233013323033040 is an apocalyptic number.

It is an amenable number.

33013323033040 is an abundant number, since it is smaller than the sum of its proper divisors (54708750787760).

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

33013323033040 is a wasteful number, since it uses less digits than its factorization.

33013323033040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644060 (or 644054 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 28.

Adding to 33013323033040 its reverse (4033032331033), we get a palindrome (37046355364073).

The spelling of 33013323033040 in words is "thirty-three trillion, thirteen billion, three hundred twenty-three million, thirty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 110491 220982 441964 533549 552455 773437 883928 1067098 1104910 1546874 1767856 2134196 2209820 2667745 3093748 3734843 3867185 4268392 4419640 5335490 6187496 7469686 7734370 8536784 8839280 10670980 12374992 14939372 15468740 18674215 21341960 29878744 30937480 37348430 42683920 59757488 61874960 74696860 149393720 298787440 58952362559 117904725118 235809450236 294761812795 412666537913 471618900472 589523625590 825333075826 943237800944 1179047251180 1650666151652 2063332689565 2358094502360 3301332303304 4126665379130 4716189004720 6602664606608 8253330758260 16506661516520 33013323033040