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2286894013504 = 2619299492
BaseRepresentation
bin100001010001110101100…
…000010101110001000000
322002121212120112210002221
4201101311200111301000
5244432024331413004
64510330135220424
7324136236245302
oct41216540256100
98077776483087
102286894013504
11801959062491
1230b270217714
13137865062989
147c987157972
153e749ca1354
hex21475815c40

2286894013504 has 63 divisors (see below), whose sum is σ = 4789952565237. Its totient is φ = 1083156703488.

The previous prime is 2286894013363. The next prime is 2286894013513. The reversal of 2286894013504 is 4053104986822.

It is a happy number.

The square root of 2286894013504 is 1512248.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 902788823104 + 1384105190400 = 950152^2 + 1176480^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 229856722 + ... + 229866670.

It is an arithmetic number, because the mean of its divisors is an integer number (76030993099).

Almost surely, 22286894013504 is an apocalyptic number.

2286894013504 is the 1512248-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2286894013504

2286894013504 is an abundant number, since it is smaller than the sum of its proper divisors (2503058551733).

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

2286894013504 is an frugal number, since it uses more digits than its factorization.

2286894013504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19948 (or 9970 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 52.

The spelling of 2286894013504 in words is "two trillion, two hundred eighty-six billion, eight hundred ninety-four million, thirteen thousand, five hundred four".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 361 608 722 1216 1444 2888 5776 9949 11552 19898 23104 39796 79592 159184 189031 318368 378062 636736 756124 1512248 3024496 3591589 6048992 7183178 12097984 14366356 28732712 57465424 98982601 114930848 197965202 229861696 395930404 791860808 1583721616 1880669419 3167443232 3761338838 6334886464 7522677676 15045355352 30090710704 35732718961 60181421408 71465437922 120362842816 142930875844 285861751688 571723503376 1143447006752 2286894013504