Search a number
-
+
1025500355152 = 247136157720011
BaseRepresentation
bin11101110110001001001…
…01011001101001010000
310122000222212211200112021
432323010211121221100
5113300211042331102
62103035223341224
7134042566123540
oct16730445315120
93560885750467
101025500355152
11365a04241179
121468b9bb1814
137592037c9a0
14378c5039320
151ba20322137
hexeec4959a50

1025500355152 has 160 divisors (see below), whose sum is σ = 2489944911104. Its totient is φ = 398330265600.

The previous prime is 1025500355141. The next prime is 1025500355221. The reversal of 1025500355152 is 2515530055201.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 51236827 + ... + 51256837.

Almost surely, 21025500355152 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 1025500355152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244972455552).

1025500355152 is an abundant number, since it is smaller than the sum of its proper divisors (1464444555952).

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

1025500355152 is a wasteful number, since it uses less digits than its factorization.

1025500355152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20677 (or 20671 counting only the distinct ones).

The product of its (nonzero) digits is 37500, while the sum is 34.

The spelling of 1025500355152 in words is "one trillion, twenty-five billion, five hundred million, three hundred fifty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 61 91 104 112 122 182 208 244 364 427 488 577 728 793 854 976 1154 1456 1586 1708 2308 3172 3416 4039 4616 5551 6344 6832 7501 8078 9232 11102 12688 15002 16156 20011 22204 30004 32312 35197 40022 44408 52507 60008 64624 70394 80044 88816 105014 120016 140077 140788 160088 210028 246379 260143 280154 281576 320176 420056 457561 492758 520286 560308 563152 840112 915122 985516 1040572 1120616 1220671 1821001 1830244 1971032 2081144 2241232 2441342 3202927 3642002 3660488 3942064 4162288 4882684 6405854 7284004 7320976 8544697 9765368 11546347 12811708 14568008 15868723 17089394 19530736 23092694 25623416 29136016 31737446 34178788 46185388 51246832 63474892 68357576 80824429 92370776 111081061 126949784 136715152 150102511 161648858 184741552 222162122 253899568 300205022 323297716 444324244 600410044 646595432 704327167 888648488 1050717577 1200820088 1293190864 1408654334 1777296976 2101435154 2401640176 2817308668 4202870308 4930290169 5634617336 8405740616 9156253171 9860580338 11269234672 16811481232 18312506342 19721160676 36625012684 39442321352 64093772197 73250025368 78884642704 128187544394 146500050736 256375088788 512750177576 1025500355152