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2397052754382 = 23112132381106669
BaseRepresentation
bin100010111000011011011…
…110100101100111001110
322111011012201122122000210
4202320123132211213032
5303233131001120012
65033105115303250
7335116126142166
oct42703336454716
98434181578023
102397052754382
11844647874a00
1232869414ab26
1314506c3cc1a0
148403745d5a6
1542545ca323c
hex22e1b7a59ce

2397052754382 has 96 divisors (see below), whose sum is σ = 5677340931360. Its totient is φ = 670216377600.

The previous prime is 2397052754311. The next prime is 2397052754413. The reversal of 2397052754382 is 2834572507932.

It is a super-3 number, since 3×23970527543823 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22418544 + ... + 22525212.

It is an arithmetic number, because the mean of its divisors is an integer number (59138968035).

Almost surely, 22397052754382 is an apocalyptic number.

2397052754382 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2397052754382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2838670465680).

2397052754382 is an abundant number, since it is smaller than the sum of its proper divisors (3280288176978).

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

2397052754382 is a wasteful number, since it uses less digits than its factorization.

2397052754382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109090 (or 109079 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 57.

The spelling of 2397052754382 in words is "two trillion, three hundred ninety-seven billion, fifty-two million, seven hundred fifty-four thousand, three hundred eighty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 121 143 242 286 363 429 726 858 1573 2381 3146 4719 4762 7143 9438 14286 26191 30953 52382 61906 78573 92859 106669 157146 185718 213338 288101 320007 340483 576202 640014 680966 864303 1021449 1173359 1386697 1728606 2042898 2346718 2773394 3520077 3745313 4160091 7040154 7490626 8320182 11235939 12906949 15253667 22471878 25813898 30507334 38720847 45761001 77441694 91522002 167790337 253978889 335580674 503371011 507957778 761936667 1006742022 1523873334 2793767779 3301725557 5587535558 6603451114 8381303337 9905176671 16762606674 19810353342 30731445569 36318981127 61462891138 72637962254 92194336707 108956943381 184388673414 217913886762 399508792397 799017584794 1198526377191 2397052754382