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725016002751616 = 27109218191238163
BaseRepresentation
bin1010010011011001011111000…
…1010011001110110010000000
310112002001212000210210100101011
42210312113301103032302000
51230012130233201022431
611045551430440250304
7305466451265400142
oct24466276123166200
93462055023710334
10725016002751616
111a0015618474874
1269394b60470994
132517193c508344
14cb06d67130c92
1558c44e3dd0cb1
hex29365f14cec80

725016002751616 has 64 divisors (see below), whose sum is σ = 1457631699638400. Its totient is φ = 359179085583360.

The previous prime is 725016002751583. The next prime is 725016002751629. The reversal of 725016002751616 is 616157200610527.

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

It is a super-2 number, since 2×7250160027516162 (a number of 31 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 725016002751616.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3044081751 + ... + 3044319913.

It is an arithmetic number, because the mean of its divisors is an integer number (22775495306850).

Almost surely, 2725016002751616 is an apocalyptic number.

It is an amenable number.

725016002751616 is an abundant number, since it is smaller than the sum of its proper divisors (732615696886784).

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

725016002751616 is a wasteful number, since it uses less digits than its factorization.

725016002751616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456477 (or 456465 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 49.

The spelling of 725016002751616 in words is "seven hundred twenty-five trillion, sixteen billion, two million, seven hundred fifty-one thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 32 64 109 128 218 436 872 1744 3488 6976 13952 218191 238163 436382 476326 872764 952652 1745528 1905304 3491056 3810608 6982112 7621216 13964224 15242432 23782819 25959767 27928448 30484864 47565638 51919534 95131276 103839068 190262552 207678136 380525104 415356272 761050208 830712544 1522100416 1661425088 3044200832 3322850176 51965023133 103930046266 207860092532 415720185064 831440370128 1662880740256 3325761480512 5664187521497 6651522961024 11328375042994 22656750085988 45313500171976 90627000343952 181254000687904 362508001375808 725016002751616