Search a number
-
+
2348680251904 = 2974139158329
BaseRepresentation
bin100010001011011000010…
…000001000101000000000
322022112100120020220021221
4202023120100020220000
5301440044121030104
64554545132524424
7331454325513160
oct42133020105000
98275316226257
102348680251904
11826084854928
1231b234320714
131406308a215c
1481968d405a0
154116423ec54
hex222d8408a00

2348680251904 has 80 divisors (see below), whose sum is σ = 5364499060800. Its totient is φ = 1006327701504.

The previous prime is 2348680251901. The next prime is 2348680251971. The reversal of 2348680251904 is 4091520868432.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2348680251901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14755012 + ... + 14913340.

It is an arithmetic number, because the mean of its divisors is an integer number (67056238260).

Almost surely, 22348680251904 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 2348680251904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2682249530400).

2348680251904 is an abundant number, since it is smaller than the sum of its proper divisors (3015818808896).

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

2348680251904 is an equidigital number, since it uses as much as digits as its factorization.

2348680251904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162493 (or 162477 counting only the distinct ones).

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

The spelling of 2348680251904 in words is "two trillion, three hundred forty-eight billion, six hundred eighty million, two hundred fifty-one thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1792 3584 4139 8278 16556 28973 33112 57946 66224 115892 132448 158329 231784 264896 316658 463568 529792 633316 927136 1059584 1108303 1266632 1854272 2119168 2216606 2533264 3708544 4433212 5066528 7417088 8866424 10133056 14834176 17732848 20266112 35465696 40532224 70931392 81064448 141862784 283725568 567451136 655323731 1310647462 2621294924 4587266117 5242589848 9174532234 10485179696 18349064468 20970359392 36698128936 41940718784 73396257872 83881437568 146792515744 167762875136 293585031488 335525750272 587170062976 1174340125952 2348680251904