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2164460433234 = 23112231019127207
BaseRepresentation
bin11111011111110011111…
…001010010111101010010
321122220211222011111001220
4133133303321102331102
5240430303332330414
64334201150505510
7312243230056551
oct37376371227522
97586758144056
102164460433234
11764a4053a500
122ab5a1505296
131291529331a8
1476a9092dd98
153b48133eca9
hex1f7f3e52f52

2164460433234 has 96 divisors (see below), whose sum is σ = 4970026736640. Its totient is φ = 626759226720.

The previous prime is 2164460433209. The next prime is 2164460433251. The reversal of 2164460433234 is 4323340644612.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16951659 + ... + 17078865.

It is an arithmetic number, because the mean of its divisors is an integer number (51771111840).

Almost surely, 22164460433234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2164460433234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2485013368320).

2164460433234 is an abundant number, since it is smaller than the sum of its proper divisors (2805566303406).

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

2164460433234 is a wasteful number, since it uses less digits than its factorization.

2164460433234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128276 (or 128265 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 42.

The spelling of 2164460433234 in words is "two trillion, one hundred sixty-four billion, four hundred sixty million, four hundred thirty-three thousand, two hundred thirty-four".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 121 138 242 253 363 506 726 759 1019 1518 2038 2783 3057 5566 6114 8349 11209 16698 22418 23437 33627 46874 67254 70311 123299 127207 140622 246598 254414 257807 369897 381621 515614 739794 763242 773421 1399277 1546842 2798554 2835877 2925761 4197831 5671754 5851522 8395662 8507631 8777283 15392047 17015262 17554566 30784094 32183371 46176141 64366742 92352282 96550113 129623933 193100226 259247866 354017081 388871799 708034162 777743598 1062051243 1425863263 2124102486 2851726526 2981350459 4277589789 5962700918 8555179578 8944051377 15684495893 17888102754 31368991786 32794855049 47053487679 65589710098 94106975358 98384565147 196769130294 360743405539 721486811078 1082230216617 2164460433234