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25342400424352 = 2511113637127927
BaseRepresentation
bin1011100001100011111001…
…10001100110100110100000
310022201201011110101101111011
411300301330301212212200
511310202214002034402
6125522045452030304
75223633210252064
oct560617461464640
9108651143341434
1025342400424352
118090719401210
122a1363a762394
13111aa16662c9b
14638816043aa4
152de332359ed7
hex170c7cc669a0

25342400424352 has 48 divisors (see below), whose sum is σ = 54910233346752. Its totient is φ = 11417332433920.

The previous prime is 25342400424301. The next prime is 25342400424379.

25342400424352 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 318524188 + ... + 318603739.

It is an arithmetic number, because the mean of its divisors is an integer number (1143963194724).

Almost surely, 225342400424352 is an apocalyptic number.

25342400424352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

25342400424352 is an abundant number, since it is smaller than the sum of its proper divisors (29567832922400).

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

25342400424352 is a wasteful number, since it uses less digits than its factorization.

25342400424352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637128061 (or 637128053 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 40.

It can be divided in two parts, 25342400 and 424352, that added together give a palindrome (25766752).

The spelling of 25342400424352 in words is "twenty-five trillion, three hundred forty-two billion, four hundred million, four hundred twenty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 113 176 226 352 452 904 1243 1808 2486 3616 4972 9944 19888 39776 637127927 1274255854 2548511708 5097023416 7008407197 10194046832 14016814394 20388093664 28033628788 56067257576 71995455751 112134515152 143990911502 224269030304 287981823004 575963646008 791950013261 1151927292016 1583900026522 2303854584032 3167800053044 6335600106088 12671200212176 25342400424352