Search a number
-
+
154520254205312 = 2719327123080693
BaseRepresentation
bin100011001000100100001100…
…110111001100110110000000
3202021002222210012020102222112
4203020210030313030312000
5130223124440034032222
61304345342543154452
744355501642431342
oct4310441467146600
9667088705212875
10154520254205312
1145264743189586
12153b70885a5a28
13682b274a42888
142a22b6a917292
1512ce65e24dbe2
hex8c890cdccd80

154520254205312 has 64 divisors (see below), whose sum is σ = 310570125552960. Its totient is φ = 76576196689920.

The previous prime is 154520254205311. The next prime is 154520254205321. The reversal of 154520254205312 is 213502452025451.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 154520254205312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (154520254205311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4845563 + ... + 18235130.

It is an arithmetic number, because the mean of its divisors is an integer number (4852658211765).

Almost surely, 2154520254205312 is an apocalyptic number.

It is an amenable number.

154520254205312 is an abundant number, since it is smaller than the sum of its proper divisors (156049871347648).

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

154520254205312 is a wasteful number, since it uses less digits than its factorization.

154520254205312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23081171 (or 23081159 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 41.

The spelling of 154520254205312 in words is "one hundred fifty-four trillion, five hundred twenty billion, two hundred fifty-four million, two hundred five thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 193 271 386 542 772 1084 1544 2168 3088 4336 6176 8672 12352 17344 24704 34688 52303 104606 209212 418424 836848 1673696 3347392 6694784 23080693 46161386 92322772 184645544 369291088 738582176 1477164352 2954328704 4454573749 6254867803 8909147498 12509735606 17818294996 25019471212 35636589992 50038942424 71273179984 100077884848 142546359968 200155769696 285092719936 400311539392 570185439872 800623078784 1207189485979 2414378971958 4828757943916 9657515887832 19315031775664 38630063551328 77260127102656 154520254205312