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41048978208 = 2537269227081
BaseRepresentation
bin100110001110101101…
…011011001100100000
310220221202220011002020
4212032231123030200
51133032014300313
630505130021440
72652142362210
oct461655331440
9126852804066
1041048978208
1116455094987
127b57277880
133b424aaa24
141db5a28240
151103b40323
hex98eb5b320

41048978208 has 96 divisors (see below), whose sum is σ = 123605274240. Its totient is φ = 11684628480.

The previous prime is 41048978177. The next prime is 41048978251. The reversal of 41048978208 is 80287984014.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×410489782082 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67228 + ... + 294308.

It is an arithmetic number, because the mean of its divisors is an integer number (1287554940).

Almost surely, 241048978208 is an apocalyptic number.

41048978208 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41048978208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61802637120).

41048978208 is an abundant number, since it is smaller than the sum of its proper divisors (82556296032).

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

41048978208 is a wasteful number, since it uses less digits than its factorization.

41048978208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227370 (or 227362 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 51.

The spelling of 41048978208 in words is "forty-one billion, forty-eight million, nine hundred seventy-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 269 336 538 672 807 1076 1614 1883 2152 3228 3766 4304 5649 6456 7532 8608 11298 12912 15064 22596 25824 30128 45192 60256 90384 180768 227081 454162 681243 908324 1362486 1589567 1816648 2724972 3179134 3633296 4768701 5449944 6358268 7266592 9537402 10899888 12716536 19074804 21799776 25433072 38149608 50866144 61084789 76299216 122169578 152598432 183254367 244339156 366508734 427593523 488678312 733017468 855187046 977356624 1282780569 1466034936 1710374092 1954713248 2565561138 2932069872 3420748184 5131122276 5864139744 6841496368 10262244552 13682992736 20524489104 41048978208