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49372390849401 = 32269287072
BaseRepresentation
bin10110011100111011001111…
…10100010111101101111001
320110210221202210211001002100
423032131213310113231321
522432404124024140101
6253001210243054013
713254015604566504
oct1316354764275571
9213727683731070
1049372390849401
1114805793554064
125654849971309
132171a47b34289
14c298ca67613b
155a9451032e86
hex2ce767d17b79

49372390849401 has 27 divisors (see below), whose sum is σ = 71589997381071. Its totient is φ = 32788800678384.

The previous prime is 49372390849393. The next prime is 49372390849487. The reversal of 49372390849401 is 10494809327394.

The square root of 49372390849401 is 7026549.

It is a perfect power (a square), and thus also a powerful number.

49372390849401 is a `hidden beast` number, since 4 + 9 + 37 + 23 + 90 + 8 + 494 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3248461917801 + 46123928931600 = 1802349^2 + 6791460^2 .

It is not a de Polignac number, because 49372390849401 - 23 = 49372390849393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (49372395849401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5670420690 + ... + 5670429396.

Almost surely, 249372390849401 is an apocalyptic number.

49372390849401 is the 7026549-th square number.

49372390849401 is the 3513275-th centered octagonal number.

It is an amenable number.

49372390849401 is a deficient number, since it is larger than the sum of its proper divisors (22217606531670).

49372390849401 is an frugal number, since it uses more digits than its factorization.

49372390849401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17958 (or 8979 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 49372390849401 in words is "forty-nine trillion, three hundred seventy-two billion, three hundred ninety million, eight hundred forty-nine thousand, four hundred one".

Divisors: 1 3 9 269 807 2421 8707 26121 72361 78363 217083 651249 2342183 7026549 21079647 75811849 227435547 630047227 682306641 1890141681 5670425043 20393387381 61180162143 183540486429 5485821205489 16457463616467 49372390849401