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2126202296032 = 251743197461393
BaseRepresentation
bin11110111100001011100…
…010000101011011100000
321112021002200201202010101
4132330023202011123200
5234313430241433112
64304432554112144
7306420163215133
oct36741342053340
97467080652111
102126202296032
1174a7988477a1
122a40a4a1b654
131256666c6899
1474ca182421a
153a49272a757
hex1ef0b8856e0

2126202296032 has 96 divisors (see below), whose sum is σ = 4558299574752. Its totient is φ = 972333809664.

The previous prime is 2126202296021. The next prime is 2126202296033. The reversal of 2126202296032 is 2306922026212.

It is a junction number, because it is equal to n+sod(n) for n = 2126202295982 and 2126202296000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2126202296033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4377528 + ... + 4838920.

It is an arithmetic number, because the mean of its divisors is an integer number (47482287237).

Almost surely, 22126202296032 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 2126202296032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2279149787376).

2126202296032 is an abundant number, since it is smaller than the sum of its proper divisors (2432097278720).

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

2126202296032 is a wasteful number, since it uses less digits than its factorization.

2126202296032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461660 (or 461652 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The spelling of 2126202296032 in words is "two trillion, one hundred twenty-six billion, two hundred two million, two hundred ninety-six thousand, thirty-two".

Divisors: 1 2 4 8 16 17 32 34 43 68 86 136 172 197 272 344 394 544 688 731 788 1376 1462 1576 2924 3152 3349 5848 6304 6698 8471 11696 13396 16942 23392 26792 33884 53584 67768 107168 135536 144007 271072 288014 461393 576028 922786 1152056 1845572 2304112 3691144 4608224 7382288 7843681 14764576 15687362 19839899 31374724 39679798 62749448 79359596 90894421 125498896 158719192 181788842 250997792 317438384 337278283 363577684 634876768 674556566 727155368 1349113132 1454310736 1545205157 2698226264 2908621472 3090410314 3908460103 5396452528 6180820628 7816920206 10792905056 12361641256 15633840412 24723282512 31267680824 49446565024 62535361648 66443821751 125070723296 132887643502 265775287004 531550574008 1063101148016 2126202296032