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245054233024100 = 225273269124792093
BaseRepresentation
bin110111101110000000100010…
…100000101001011001100100
31012010122221210211200021100022
4313232000202200221121210
5224104432032123232400
62225104205512134312
7102421404224262413
oct6756004240513144
91163587724607308
10245054233024100
1171099a09a9a655
122359919a997398
13a6976906598b6
14447298c46747a
151d4e6527c6b85
hexdee022829664

245054233024100 has 72 divisors (see below), whose sum is σ = 541056090272040. Its totient is φ = 96319528289280.

The previous prime is 245054233024079. The next prime is 245054233024129. The reversal of 245054233024100 is 1420332450542.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 58567460031844 + 186486772992256 = 7652938^2 + 13656016^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60432347 + ... + 64359746.

It is an arithmetic number, because the mean of its divisors is an integer number (7514667920445).

Almost surely, 2245054233024100 is an apocalyptic number.

245054233024100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245054233024100 is an abundant number, since it is smaller than the sum of its proper divisors (296001857247940).

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

245054233024100 is a wasteful number, since it uses less digits than its factorization.

245054233024100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124792449 (or 124792442 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 245054233024100 its reverse (1420332450542), we get a palindrome (246474565474642).

The spelling of 245054233024100 in words is "two hundred forty-five trillion, fifty-four billion, two hundred thirty-three million, twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 269 292 365 538 730 1076 1345 1460 1825 2690 3650 5380 6725 7300 13450 19637 26900 39274 78548 98185 196370 392740 490925 981850 1963700 124792093 249584186 499168372 623960465 1247920930 2495841860 3119802325 6239604650 9109822789 12479209300 18219645578 33569073017 36439291156 45549113945 67138146034 91098227890 134276292068 167845365085 182196455780 227745569725 335690730170 455491139450 671381460340 839226825425 910982278900 1678453650850 2450542330241 3356907301700 4901084660482 9802169320964 12252711651205 24505423302410 49010846604820 61263558256025 122527116512050 245054233024100