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2346552001056 = 2531131579136993
BaseRepresentation
bin100010001001011001011…
…001100000001000100000
322022022212020120112222110
4202021121121200020200
5301421214303013211
64553554025035320
7331350513624204
oct42113131401040
98268766515873
102346552001056
1182519248052a
1231a93b625b40
131403819a2523
148180641cb04
154108c496ea6
hex22259660220

2346552001056 has 96 divisors (see below), whose sum is σ = 6218190538560. Its totient is φ = 774765379584.

The previous prime is 2346552000983. The next prime is 2346552001063. The reversal of 2346552001056 is 6501002556432.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×23465520010563 (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17060496 + ... + 17197488.

It is an arithmetic number, because the mean of its divisors is an integer number (64772818110).

Almost surely, 22346552001056 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 2346552001056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3109095269280).

2346552001056 is an abundant number, since it is smaller than the sum of its proper divisors (3871638537504).

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

2346552001056 is a wasteful number, since it uses less digits than its factorization.

2346552001056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138698 (or 138690 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 39.

Adding to 2346552001056 its reverse (6501002556432), we get a palindrome (8847554557488).

The spelling of 2346552001056 in words is "two trillion, three hundred forty-six billion, five hundred fifty-two million, one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 113 226 339 452 678 904 1356 1579 1808 2712 3158 3616 4737 5424 6316 9474 10848 12632 18948 25264 37896 50528 75792 136993 151584 178427 273986 356854 410979 535281 547972 713708 821958 1070562 1095944 1427416 1643916 2141124 2191888 2854832 3287832 4282248 4383776 5709664 6575664 8564496 13151328 15480209 17128992 30960418 46440627 61920836 92881254 123841672 185762508 216311947 247683344 371525016 432623894 495366688 648935841 743050032 865247788 1297871682 1486100064 1730495576 2595743364 3460991152 5191486728 6921982304 10382973456 20765946912 24443250011 48886500022 73329750033 97773000044 146659500066 195546000088 293319000132 391092000176 586638000264 782184000352 1173276000528 2346552001056