Search a number
-
+
348753455025354 = 23261317626097473
BaseRepresentation
bin100111101001100000111110…
…1110011010000110011001010
31200201211111121220211001011200
41033103001331303100303022
5331202434033441302404
63233423043032405030
7133313414505564501
oct11723017563206312
91621744556731150
10348753455025354
11a113a567418125
123314690a546776
1311c7a404520a82
146219a85dd7838
152a4bd27414839
hex13d307dcd0cca

348753455025354 has 24 divisors (see below), whose sum is σ = 768019903692132. Its totient is φ = 114345395089920.

The previous prime is 348753455025337. The next prime is 348753455025379. The reversal of 348753455025354 is 453520554357843.

348753455025354 is a `hidden beast` number, since 3 + 4 + 8 + 7 + 5 + 3 + 4 + 550 + 25 + 3 + 54 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 343831167009225 + 4922288016129 = 18542685^2 + 2218623^2 .

It is a junction number, because it is equal to n+sod(n) for n = 348753455025291 and 348753455025300.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 158813047639 + ... + 158813049834.

Almost surely, 2348753455025354 is an apocalyptic number.

348753455025354 is an abundant number, since it is smaller than the sum of its proper divisors (419266448666778).

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

348753455025354 is a wasteful number, since it uses less digits than its factorization.

348753455025354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317626097542 (or 317626097539 counting only the distinct ones).

The product of its (nonzero) digits is 604800000, while the sum is 63.

The spelling of 348753455025354 in words is "three hundred forty-eight trillion, seven hundred fifty-three billion, four hundred fifty-five million, twenty-five thousand, three hundred fifty-four".

Divisors: 1 2 3 6 9 18 61 122 183 366 549 1098 317626097473 635252194946 952878292419 1905756584838 2858634877257 5717269754514 19375191945853 38750383891706 58125575837559 116251151675118 174376727512677 348753455025354